Year 1 Position and Direction: worked examples and questions with answers
By the end of this chapter you will be able to
- Use the words above, below, top, middle and bottom to say where something is
- Use the words next to, between, left and right to describe a row
- Say which shape is in front and which is behind
- Describe moves forwards, backwards, up and down
- Know whole, half, quarter and three-quarter turns
- Turn an arrow clockwise and anticlockwise on a clock face
You should already know
- Counting to 10 and one more or one less (Chapter 1)
- Counting on from a number (Chapter 1)
- Names and sides of 2-D shapes (Chapter 3)
Where this leads
- Halves and quarters of shapes (Year 1 Chapter 10)
- Telling the time to the hour (Year 1 Chapter 13)
National Curriculum for England, Key Stage 1 mathematics, Year 1. Content: Describe position: above, below, top, middle, bottom, next to, between, left and right, Describe position: in front and behind, Describe movement: forwards, backwards, up and down, Recognise whole, half, quarter and three-quarter turns, Turn clockwise and anticlockwise.
- 11.1 Top, middle, bottom, above and below: Worksheet (PDF) · Answers (PDF) · lesson page
- 11.2 Left, right, next to and between: Worksheet (PDF) · Answers (PDF) · lesson page
- 11.3 In front and behind: Worksheet (PDF) · Answers (PDF) · lesson page
- 11.4 Forwards, backwards, up and down: Worksheet (PDF) · Answers (PDF) · lesson page
- 11.5 Whole, half, quarter and three-quarter turns: Worksheet (PDF) · Answers (PDF) · lesson page
- 11.6 Clockwise and anticlockwise: Worksheet (PDF) · Answers (PDF) · lesson page
- Check-up and end-of-chapter quiz: Worksheet (PDF) · Answers (PDF) · lesson page
Exercise P Do you remember?
Non-calculatorMethod. Count on one from 7.
- Start at 7. Start at the number we know.7
- Count on one. One more is the next number.7 + 1 = 8
- Write the answer. 8
Check. Count back one from 8 to get 7. ✓
Watch out. One more is the next number, not the same number.
Method. Count the sides of the triangle, one at a time.
- Start at one corner. Trace each side with your finger.Side 1, side 2
- Count the last side. A triangle has three sides.Side 3
- Write the answer. 3
Check. A square has 4 sides, one more than a triangle. ✓
Watch out. Count each side once. Do not count the corners.
Method. Count the stars, one at a time.
- Touch each star once. Each star gets one number.1, 2, 3, 4, 5, 6
- Look at the last number. The last number tells us how many there are.The last number is 6.
- Write the answer. 6
Check. Count again from the other side. You get 6 again. ✓
Watch out. Move each star to one side as you count it.
Method. Count on 3 from 4, one number at a time.
- Start at 4. Start at the first number.4
- Count on 3 numbers. Say each number as you go.5, 6, 7
- Write the answer. 7
Check. Count back 3 from 7 to get 4. ✓
Watch out. Do not count the 4 again. The first step is 5.
Method. Find the numbers on each side of the gap, then find the number in the middle.
- Look at the first number. It is the number before the gap.4
- Look at the last number. It is the number after the gap.6
- Find the number between them. It is one more than 4, and one less than 6.4 + 1 = 5
- Write the answer. 5
Check. Count on from 4: 4, 5, 6. The number in the middle is 5. ✓
Watch out. The number between is not 4 or 6.
Top, middle, bottom, above and below
Printable: Worksheet (PDF) · Answers (PDF) · Open this lesson on its own page
Where is it? We use position words to say where something is. Above means higher up. Below means lower down. The top is the highest place. The bottom is the lowest place. The middle is in between the top and the bottom.
Look at the shelves. The apple is on the top shelf. The ball is in the middle. The star is on the bottom shelf.
Key ideas
- Above means higher up.
- Below means lower down.
- The top is the highest place. The bottom is the lowest.
- Right above and right underneath mean the next shelf up or down.
Method. Count the shelves from the top. The middle shelf is shelf number 2.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: heart, shelf 2: ball, shelf 3: apple
- Find the middle shelf. It is shelf number 2.middle shelf: ball
- Write the answer. ball
Check. There are 1 shapes above the ball and 1 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. The shape right underneath is on the next shelf down from the star.
- Find the star. Look for it on the shelves.star is on shelf 1
- Look at the shelf just below it. "Right underneath" means the very next shelf down.shelf 2: cube
- Write the answer. cube
Check. Look back up: the star is right above the cube. ✓
Watch out. Only look at the next shelf down. Shapes further down are not right underneath.
Method. Count the shelves below the cube, one at a time.
- Find the cube. Look for it on the shelves.cube is on shelf 1
- Count the shapes below it. Count each shape once. Do not count the shape you started with.star, apple
- Write the answer. 2
Check. Together with the cube, the shapes above it and below it make 3. ✓
Watch out. Count the shelves below the cube only. The shelves the other way do not count.
Watch out
Watch out: above does not mean the top shelf. A shape is above every shape on a lower shelf. Check which shelf each shape is on, and count the shelves from the top.
Exam tip
Grown-up tip. Stack three or four toys, cups or books on top of each other. Ask: “What is on the top? What is below the teddy? How many things are above the cup?” Then let your child point to each one.
Exercise 11A Above, below, top and bottom
Non-calculatorMethod. Count the shelves from the top. The top shelf is shelf number 1.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: apple, shelf 2: ball, shelf 3: star
- Find the top shelf. It is shelf number 1.top shelf: apple
- Write the answer. apple
Check. There are 0 shapes above the apple and 2 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. Count the shelves from the top. The bottom shelf is shelf number 3.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: star, shelf 2: cube, shelf 3: ball
- Find the bottom shelf. It is shelf number 3.bottom shelf: ball
- Write the answer. ball
Check. There are 2 shapes above the ball and 0 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. The shape right underneath is on the next shelf down from the apple.
- Find the apple. Look for it on the shelves.apple is on shelf 2
- Look at the shelf just below it. "Right underneath" means the very next shelf down.shelf 3: star
- Write the answer. star
Check. Look back up: the apple is right above the star. ✓
Watch out. Only look at the next shelf down. Shapes further down are not right underneath.
Method. The shape right above is on the next shelf up from the apple.
- Find the apple. Look for it on the shelves.apple is on shelf 3
- Look at the shelf just above it. "Right above" means the very next shelf up.shelf 2: star
- Write the answer. star
Check. Look down: the star is right above the apple, so the apple is right underneath. ✓
Watch out. Only look at the next shelf up. Shapes higher up are not right above.
Method. Count the shelves above the ball, one at a time.
- Find the ball. Look for it on the shelves.ball is on shelf 3
- Count the shapes above it. Count each shape once. Do not count the shape you started with.cube, star
- Write the answer. 2
Check. Together with the ball, the shapes above it and below it make 4. ✓
Watch out. Count the shelves above the ball only. The shelves the other way do not count.
Method. Count the shelves below the star, one at a time.
- Find the star. Look for it on the shelves.star is on shelf 2
- Count the shapes below it. Count each shape once. Do not count the shape you started with.apple, ball
- Write the answer. 2
Check. Together with the star, the shapes above it and below it make 4. ✓
Watch out. Count the shelves below the star only. The shelves the other way do not count.
Method. Count 2 shelfs up from the apple. Each shelf is one step.
- Find the apple. Start on its shelf.apple is on shelf 4
- Count 2 shelfs up. Move one shelf at a time, and do not count the start.shelf 4 → shelf 3 → shelf 2
- Write the answer. heart
Check. Count 2 shelfs back the other way from the heart to check you reach the apple. ✓
Watch out. Count the shelves you move past. Do not count the shelf you start on.
Method. Count the shelves from the top. The top shelf is shelf number 1.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: star, shelf 2: ball, shelf 3: heart
- Find the top shelf. It is shelf number 1.top shelf: star
- Write the answer. star
Check. There are 0 shapes above the star and 2 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. Count the shelves from the top. The middle shelf is shelf number 2.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: star, shelf 2: ball, shelf 3: heart
- Find the middle shelf. It is shelf number 2.middle shelf: ball
- Write the answer. ball
Check. There are 1 shapes above the ball and 1 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. Count the shelves from the top. The bottom shelf is shelf number 3.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: star, shelf 2: ball, shelf 3: heart
- Find the bottom shelf. It is shelf number 3.bottom shelf: heart
- Write the answer. heart
Check. There are 2 shapes above the heart and 0 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. A shape on a higher shelf is above. Find both shapes and compare their shelves.
- Find the star and the ball. Look at which shelf each one is on.star: shelf 1, ball: shelf 3
- Compare the shelf numbers. A smaller shelf number is higher up.shelf 1 is higher than shelf 3
- Write the answer. The star is above the ball.
Check. Say it the other way round: the ball is below the star. ✓
Watch out. Higher up means above. Look at the shelves, not at how big the shapes are.
Method. Look at the shelves. The cube is on the top shelf. The apple is on the shelf below it.
- Look at the cube. The cube is on the top shelf.cube: shelf 1
- Look at the apple. The apple is on shelf 2, lower down than the cube.apple: shelf 2
- Decide who is right. Below means lower down, so the apple is below the cube.Sam is right. The apple is below the cube.
Check. The cube is above the apple, so the apple is below it. ✓
Watch out. Say which shape is higher up. The higher shape is above the lower one.
Method. Count 2 shelfs down from the cube. Each shelf is one step.
- Find the cube. Start on its shelf.cube is on shelf 1
- Count 2 shelfs down. Move one shelf at a time, and do not count the start.shelf 1 → shelf 2 → shelf 3
- Write the answer. ball
Check. Count 2 shelfs back the other way from the ball to check you reach the cube. ✓
Watch out. Count the shelves you move past. Do not count the shelf you start on.
Left, right, next to and between
Printable: Worksheet (PDF) · Answers (PDF) · Open this lesson on its own page
Let’s look at a row of shapes. Read the row from the left, like a book. The shape at the left end is the first one. The shape at the right end is the last one.
A shape is next to another shape when it is the very next one, with nothing in between. A shape is between two shapes when it sits in the middle of them.
Key ideas
- Left is the side where the row starts. Right is the side where it finishes.
- Next to means the very next shape, with nothing in between.
- Between means in the middle of two shapes.
Method. Next to means the very next shape, with nothing in between.
- Find the cube. Look for the cube in the row.cube is shape number 1 from the left
- Look just on its right. Only the shape touching it on that side counts.right of cube: star
- Write the answer. star
Check. The star and the cube are next to each other in the row. ✓
Watch out. Only look at the shape right next to it. Shapes further away are not next to it.
Method. Between means in the middle of the two shapes.
- Find the heart and the cube. Look at the row.heart: shape 1, cube: shape 3
- Look at the shape in the middle of them. It sits between the two.shape 2: ball
- Write the answer. ball
Check. The ball has the heart on one side and the cube on the other. ✓
Watch out. The shape between is not one of the two you were given.
Method. Count the shapes on the right of the apple, one at a time.
- Find the apple. Look for it in the row.apple is shape number 2
- Count the shapes to the right. Count each shape once.heart, cube
- Write the answer. 2
Check. Count the shapes on the other side too. Together with the apple they make 4. ✓
Watch out. Count only the shapes on the right side of the apple.
Watch out
Watch out: left and right are from the picture. Start at the left end and read to the right, like a book. Do not count the shape you start on.
Exam tip
Grown-up tip. Put five toys or coins in a line on the table. Ask: “What is on the left? What is next to the cup? What is between the car and the ball?” Then swap two things and ask again.
Exercise 11B Left, right, next to and between
Non-calculatorMethod. Look at the left end of the row.
- Look at the row from the left. Read the shapes from left to right, like a book.1: apple, 2: ball, 3: star, 4: cube, 5: heart
- Find the left end. The left end is shape number 1.shape 1: apple
- Write the answer. apple
Check. There are 5 shapes, so the left end is shape 1. ✓
Watch out. The left end is the start of the row. The right end is the finish.
Method. Look at the right end of the row.
- Look at the row from the left. Read the shapes from left to right, like a book.1: ball, 2: heart, 3: cube, 4: apple, 5: star
- Find the right end. The right end is shape number 5.shape 5: star
- Write the answer. star
Check. There are 5 shapes, so the right end is shape 5. ✓
Watch out. The left end is the start of the row. The right end is the finish.
Method. Next to means the very next shape, with nothing in between.
- Find the star. Look for the star in the row.star is shape number 2 from the left
- Look just on its left. Only the shape touching it on that side counts.left of star: heart
- Write the answer. heart
Check. The heart and the star are next to each other in the row. ✓
Watch out. Only look at the shape right next to it. Shapes further away are not next to it.
Method. Next to means the very next shape, with nothing in between.
- Find the apple. Look for the apple in the row.apple is shape number 2 from the left
- Look just on its right. Only the shape touching it on that side counts.right of apple: heart
- Write the answer. heart
Check. The heart and the apple are next to each other in the row. ✓
Watch out. Only look at the shape right next to it. Shapes further away are not next to it.
Method. Between means in the middle of the two shapes.
- Find the star and the ball. Look at the row.star: shape 1, ball: shape 3
- Look at the shape in the middle of them. It sits between the two.shape 2: cube
- Write the answer. cube
Check. The cube has the star on one side and the ball on the other. ✓
Watch out. The shape between is not one of the two you were given.
Method. Between means in the middle of the two shapes.
- Find the apple and the star. Look at the row.apple: shape 1, star: shape 3
- Look at the shape in the middle of them. It sits between the two.shape 2: ball
- Write the answer. ball
Check. The ball has the apple on one side and the star on the other. ✓
Watch out. The shape between is not one of the two you were given.
Method. Count the shapes on the right of the heart, one at a time.
- Find the heart. Look for it in the row.heart is shape number 2
- Count the shapes to the right. Count each shape once.cube, apple, star
- Write the answer. 3
Check. Count the shapes on the other side too. Together with the heart they make 5. ✓
Watch out. Count only the shapes on the right side of the heart.
Method. Next to means the very next shape, with nothing in between.
- Find the apple. Look for the apple in the row.apple is shape number 3 from the left
- Look just on its left. Only the shape touching it on that side counts.left of apple: star
- Write the answer. star
Check. The star and the apple are next to each other in the row. ✓
Watch out. Only look at the shape right next to it. Shapes further away are not next to it.
Method. Next to means the very next shape, with nothing in between.
- Find the apple. Look for the apple in the row.apple is shape number 3 from the left
- Look just on its right. Only the shape touching it on that side counts.right of apple: ball
- Write the answer. ball
Check. The ball and the apple are next to each other in the row. ✓
Watch out. Only look at the shape right next to it. Shapes further away are not next to it.
Method. Look at the right end of the row.
- Look at the row from the left. Read the shapes from left to right, like a book.1: heart, 2: star, 3: apple, 4: ball, 5: cube
- Find the right end. The right end is shape number 5.shape 5: cube
- Write the answer. cube
Check. There are 5 shapes, so the right end is shape 5. ✓
Watch out. The left end is the start of the row. The right end is the finish.
Method. The shapes next to the heart are on its left and its right.
- Find the heart. Look for it in the row.heart is shape number 4
- Look on its left and right. Name the one on the left first.left: ball, right: apple
- Write both shapes. ball and apple
Check. Count the shapes: 3 on the left of the heart, 1 on the right. ✓
Watch out. Two shapes are next to the middle shapes. An end shape has only one neighbour.
Method. Find the ball, the star and the heart. Then check where the ball is.
- Find the ball, the star and the heart. Read the row from the left.ball: shape 2, star: shape 3, heart: shape 5
- Check the ball. For the ball to be between them, it must be after the star.The ball is before the star
- Decide who is right. The ball is on the left of the star, so it is not between them.Mia is wrong. The ball is not between them.
Check. Between means in the middle. Here the star is in the middle of the ball and the heart. ✓
Watch out. Between means one thing on each side. Check both sides before you decide.
Method. The middle shape has the same number of shapes on each side of it.
- Count the shapes from the left. Read the row from left to right.cube, apple, heart, star, ball
- Find the shape with two on each side. Two shapes are on the left and two are on the right.shape 3: heart
- Write the answer. heart, because it has two shapes on each side
Check. Two shapes are on the left (cube and apple) and two on the right (star and ball). ✓
Watch out. Count from the left end, then count from the right end to check.
In front and behind
Printable: Worksheet (PDF) · Answers (PDF) · Open this lesson on its own page
Some things sit in front of other things. Other things sit behind. In a picture, the shape that covers part of another shape is in front of it. The shape that is covered is behind.
In this picture the cube covers the star, so the cube is in front. The ball is further back, so it is behind the star.
Key ideas
- In front means nearer to you, or on top of another shape in a picture.
- Behind means further back, or covered by another shape.
- The shape at the back is covered by the others.
Method. The shape at the front covers the others. The shape at the back is covered by the others.
- Look at the picture. Find the shape that covers the others.back: apple, front: star
- Pick the shape at the front. The front shape is the one on top.front: star
- Write the answer. star
Check. Every other shape is behind star. ✓
Watch out. The shape at the front covers the others. It is not the shape that looks biggest.
Method. The shape that covers another shape is in front of it.
- Find the heart. Look for it in the picture.heart is shape 2 counting from the back
- Look at the shape in front of it. The shape that covers the other one is in front.in front of heart: ball
- Write the answer. ball
Check. The heart is behind the ball. ✓
Watch out. Look at which shape covers the other. Do not choose the shape that is higher on the page.
Method. The shape that covers another shape is in front of it.
- Find the apple. Look for it in the picture.apple is shape 2 counting from the back
- Look at the shape behind it. The shape that covers the other one is in front.behind apple: star
- Write the answer. star
Check. The apple is in front of the star. ✓
Watch out. Look at which shape covers the other. Do not choose the shape that is higher on the page.
Watch out
Watch out: the shape that is higher up on the page is not always behind. Look at which shape covers the other one.
Exam tip
Grown-up tip. Put one toy in front of another on the table, so it hides part of it. Ask: “Which one is in front? Which one is behind? Is the cup in front of the book?”
Exercise 11C In front and behind
Non-calculatorMethod. The shape at the front covers the others. The shape at the back is covered by the others.
- Look at the picture. Find the shape that covers the others.back: ball, front: apple
- Pick the shape at the front. The front shape is the one on top.front: apple
- Write the answer. apple
Check. Every other shape is behind apple. ✓
Watch out. The shape at the front covers the others. It is not the shape that looks biggest.
Method. The shape at the front covers the others. The shape at the back is covered by the others.
- Look at the picture. Find the shape that covers the others.back: star, front: cube
- Pick the shape at the back. The front shape is the one on top.back: star
- Write the answer. star
Check. Every other shape is in front of star. ✓
Watch out. The shape at the front covers the others. It is not the shape that looks biggest.
Method. The shape that covers another shape is in front of it.
- Find the star. Look for it in the picture.star is shape 2 counting from the back
- Look at the shape in front of it. The shape that covers the other one is in front.in front of star: ball
- Write the answer. ball
Check. The star is behind the ball. ✓
Watch out. Look at which shape covers the other. Do not choose the shape that is higher on the page.
Method. The shape that covers another shape is in front of it.
- Find the apple. Look for it in the picture.apple is shape 2 counting from the back
- Look at the shape in front of it. The shape that covers the other one is in front.in front of apple: cube
- Write the answer. cube
Check. The apple is behind the cube. ✓
Watch out. Look at which shape covers the other. Do not choose the shape that is higher on the page.
Method. The shape that covers another shape is in front of it.
- Find the heart. Look for it in the picture.heart is shape 2 counting from the back
- Look at the shape in front of it. The shape that covers the other one is in front.in front of heart: cube
- Write the answer. cube
Check. The heart is behind the cube. ✓
Watch out. Look at which shape covers the other. Do not choose the shape that is higher on the page.
Method. The shape that covers another shape is in front of it.
- Find the heart. Look for it in the picture.heart is shape 2 counting from the back
- Look at the shape behind it. The shape that covers the other one is in front.behind heart: apple
- Write the answer. apple
Check. The heart is in front of the apple. ✓
Watch out. Look at which shape covers the other. Do not choose the shape that is higher on the page.
Method. The shape with the bigger number, counting from the back, is further forward.
- Find the cube and the ball. Look at which one covers the other.cube: shape 2, ball: shape 1
- Compare the numbers. The bigger number is further forward.2 > 1
- Write the answer. The cube is in front the ball.
Check. Say it the other way: the ball is behind the cube. ✓
Watch out. Look at the picture to see which shape covers the other one.
Method. The shape at the front covers the others. The shape at the back is covered by the others.
- Look at the picture. Find the shape that covers the others.back: heart, front: ball
- Pick the shape at the front. The front shape is the one on top.front: ball
- Write the answer. ball
Check. Every other shape is behind ball. ✓
Watch out. The shape at the front covers the others. It is not the shape that looks biggest.
Method. The shape at the front covers the others. The shape at the back is covered by the others.
- Look at the picture. Find the shape that covers the others.back: heart, front: ball
- Pick the shape at the back. The front shape is the one on top.back: heart
- Write the answer. heart
Check. Every other shape is in front of heart. ✓
Watch out. The shape at the front covers the others. It is not the shape that looks biggest.
Method. With three shapes, the middle one has one shape behind it and one shape in front of it.
- Count the shapes from the back. The back shape is first, the front shape is last.heart, star, ball
- Find the shape in the middle. It is the second shape from the back.middle: star
- Write the answer. star
Check. The heart is behind it and the ball is in front of it. ✓
Watch out. Count from the back. The middle shape is the second one.
Method. The shape with the bigger number, counting from the back, is further forward.
- Find the star and the cube. Look at which one covers the other.star: shape 1, cube: shape 2
- Compare the numbers. The bigger number is further forward.1 < 2
- Write the answer. The star is behind the cube.
Check. Say it the other way: the cube is in front the star. ✓
Watch out. Look at the picture to see which shape covers the other one.
Method. Find the cube and the star. Then see which one covers the other.
- Find the cube and the star. Look at the picture.cube: at the back, star: at the front
- See which one is in front. The star covers the others, so it is in front.The star is in front
- Decide who is right. The cube is behind the star, so Ravi is wrong.No. The star is in front of the cube.
Check. Say it the other way: the cube is behind the star. ✓
Watch out. The shape at the front covers the others. Check which one is on top.
Method. Look at which shape covers the other one.
- Find the apple and the cube. Look at the picture.apple: at the back, cube: at the front
- See which one covers the other. The cube is on top, so it is in front.The cube is in front
- Decide if it is true. The apple is behind the cube, so the statement is false.No. The cube is in front of the apple.
Check. If the apple were in front, it would cover the cube. It does not. ✓
Watch out. The shape that covers the other is in front. Look at the picture again.
Forwards, backwards, up and down
Printable: Worksheet (PDF) · Answers (PDF) · Open this lesson on its own page
We can say how things move. Forwards means going towards the front. Backwards means going back the way you came. Up means going higher. Down means going lower.
The car on the track faces the right. So forwards is to the right, and backwards is to the left. In the lift, going up takes you to a higher floor number, and going down takes you to a lower one.
Key ideas
- Forwards is towards the front. On the track that is to the right.
- Backwards is the way you came. On the track that is to the left.
- Up means a higher floor. Down means a lower floor.
Method. Move the car forwards (to the right), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 2
- Move the car 6 squares forwards (to the right). Each move goes to the next square.2 → 3 → 4 → 5 → 6 → 7 → 8
- Write the square it is on now. 8
Check. Count back 6 squares from 8 to check you reach 2. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Move the car backwards (to the left), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 7
- Move the car 4 squares backwards (to the left). Each move goes to the next square.7 → 6 → 5 → 4 → 3
- Write the square it is on now. 3
Check. Count back 4 squares from 3 to check you reach 7. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Go down 2 floors from floor 3.
- Find the floor the lift is on. Floor 0 is the ground floor.Start: floor 3
- Go down 2 floors. Each step is one floor.3 → 2 → 1
- Write the floor the lift is on now. 1
Check. Go up 2 floors from 1 to check you reach floor 3. ✓
Watch out. Up means a higher floor number. Down means a lower floor number.
Watch out
Watch out: on the track, count the squares one at a time. Do not count the square the car starts on.
Exam tip
Grown-up tip. Use a row of coins or stickers on the floor as a track. Move a toy car along it and ask: “Which number is it on now? Is that forwards or backwards?” For up and down, use the stairs at home and count the steps up and down.
Exercise 11D Forwards, backwards, up and down
Non-calculatorMethod. Move the car forwards (to the right), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 3
- Move the car 4 squares forwards (to the right). Each move goes to the next square.3 → 4 → 5 → 6 → 7
- Write the square it is on now. 7
Check. Count back 4 squares from 7 to check you reach 3. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Move the car backwards (to the left), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 8
- Move the car 3 squares backwards (to the left). Each move goes to the next square.8 → 7 → 6 → 5
- Write the square it is on now. 5
Check. Count back 3 squares from 5 to check you reach 8. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Move the car forwards (to the right), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 2
- Move the car 5 squares forwards (to the right). Each move goes to the next square.2 → 3 → 4 → 5 → 6 → 7
- Write the square it is on now. 7
Check. Count back 5 squares from 7 to check you reach 2. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Move the car backwards (to the left), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 9
- Move the car 4 squares backwards (to the left). Each move goes to the next square.9 → 8 → 7 → 6 → 5
- Write the square it is on now. 5
Check. Count back 4 squares from 5 to check you reach 9. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Move the car forwards (to the right), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 4
- Move the car 2 squares forwards (to the right). Each move goes to the next square.4 → 5 → 6
- Write the square it is on now. 6
Check. Count back 2 squares from 6 to check you reach 4. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Move the car backwards (to the left), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 4
- Move the car 1 square backwards (to the left). Each move goes to the next square.4 → 3
- Write the square it is on now. 3
Check. Count back 1 square from 3 to check you reach 4. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Move the car forwards (to the right), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 4
- Move the car 3 squares forwards (to the right). Each move goes to the next square.4 → 5 → 6 → 7
- Write the square it is on now. 7
Check. Count back 3 squares from 7 to check you reach 4. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Go up 3 floors from floor 2.
- Find the floor the lift is on. Floor 0 is the ground floor.Start: floor 2
- Go up 3 floors. Each step is one floor.2 → 3 → 4 → 5
- Write the floor the lift is on now. 5
Check. Go down 3 floors from 5 to check you reach floor 2. ✓
Watch out. Up means a higher floor number. Down means a lower floor number.
Method. Go down 2 floors from floor 5.
- Find the floor the lift is on. Floor 0 is the ground floor.Start: floor 5
- Go down 2 floors. Each step is one floor.5 → 4 → 3
- Write the floor the lift is on now. 3
Check. Go up 2 floors from 3 to check you reach floor 5. ✓
Watch out. Up means a higher floor number. Down means a lower floor number.
Method. Go up 4 floors from floor 1.
- Find the floor the lift is on. Floor 0 is the ground floor.Start: floor 1
- Go up 4 floors. Each step is one floor.1 → 2 → 3 → 4 → 5
- Write the floor the lift is on now. 5
Check. Go down 4 floors from 5 to check you reach floor 1. ✓
Watch out. Up means a higher floor number. Down means a lower floor number.
Method. Go down 4 floors from floor 4.
- Find the floor the lift is on. Floor 0 is the ground floor.Start: floor 4
- Go down 4 floors. Each step is one floor.4 → 3 → 2 → 1 → 0
- Write the floor the lift is on now. 0
Check. Go up 4 floors from 0 to check you reach floor 4. ✓
Watch out. Up means a higher floor number. Down means a lower floor number.
Method. Count each move. Ravi moves forwards, then he moves backwards the same number of squares.
- Start on square 4. Each move starts from where the car is.Start: square 4
- Move forwards 3 squares. Forwards is to the right.4 → 5 → 6 → 7
- Move backwards 3 squares. Backwards is to the left, back the way he came.7 → 6 → 5 → 4
- Write where he finishes. He is back on the square he started on.square 4
Check. Three squares forwards and three back is the same as no move at all. ✓
Watch out. Forwards then backwards by the same number always brings you back to the start.
Method. Find the floor, then count the floors up and down, one at a time.
- Start on floor 1. The lift starts on floor 1.Start: floor 1
- Go up 4 floors. Each step up is one floor higher.1 → 2 → 3 → 4 → 5
- Go down 3 floors. Each step down is one floor lower.5 → 4 → 3 → 2
- Write the floor the lift is on. floor 2
Check. Four up and three down is one more up than down: 1 + 4 - 3 = 2. ✓
Watch out. Up and down go in opposite directions. Count each one separately.
Whole, half, quarter and three-quarter turns
Printable: Worksheet (PDF) · Answers (PDF) · Open this lesson on its own page
A turn is when something goes round. Use a clock face to help you. The arrow starts on 12.
A quarter turn moves the arrow a quarter of the way round, to 3. A half turn is half way round, to 6. A three-quarter turn is three quarters of the way round, to 9. A whole turn goes all the way round, back to 12.
Key ideas
- A whole turn goes all the way round and ends where it started.
- A half turn is 2 quarter turns.
- A three-quarter turn is 3 quarter turns.
- Four quarter turns make a whole turn.
Method. Turn the arrow clockwise, a quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 9
- Turn it clockwise, a quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.9 → 12
- Write the number the arrow points to. 12
Check. Turn it anticlockwise the same amount and it goes back to 9. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a half turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 3
- Turn it clockwise, a half turn. Each quarter turn moves the arrow 3 numbers round the clock.3 → 6 → 9
- Write the number the arrow points to. 9
Check. Turn it anticlockwise the same amount and it goes back to 3. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a half turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 6
- Turn it clockwise, a half turn. Each quarter turn moves the arrow 3 numbers round the clock.6 → 9 → 12
- Write the number the arrow points to. 12
Check. Turn it anticlockwise the same amount and it goes back to 6. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Watch out
Watch out: a quarter turn moves the arrow 3 numbers round the clock, for example from 12 to 3. Only a half turn takes the arrow to the opposite side.
Exam tip
Grown-up tip. Use a paper plate with a strip of paper stuck on the middle as the arrow. Ask your child to turn it a quarter turn, then a half turn, and say where it points. Ask: “How many quarter turns make a whole turn?”
Exercise 11E Quarter, half and whole turns
Non-calculatorMethod. Go round the clock face one quarter turn at a time, and count the turns.
- Start at 12. The arrow starts at the top of the clock.Start: 12
- Make one quarter turn after another. Each quarter turn moves the arrow on to the next number.12 → 3 → 6 → 9 → 12
- Count the quarter turns. Count each move once.4
Check. Going all the way round the clock takes 4 quarter turns, so each quarter turn is a quarter of the way round. ✓
Watch out. A half turn is two quarter turns, not one.
Method. Go round the clock face one quarter turn at a time, and count the turns.
- Start at 12. The arrow starts at the top of the clock.Start: 12
- Make one quarter turn after another. Each quarter turn moves the arrow on to the next number.12 → 3 → 6
- Count the quarter turns. Count each move once.2
Check. Going all the way round the clock takes 4 quarter turns, so each quarter turn is a quarter of the way round. ✓
Watch out. A half turn is two quarter turns, not one.
Method. Turn the arrow clockwise, a half turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 12
- Turn it clockwise, a half turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 3 → 6
- Write the number the arrow points to. 6
Check. Turn it anticlockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a whole turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 12
- Turn it clockwise, a whole turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 3 → 6 → 9 → 12
- Write the number the arrow points to. 12
Check. Turn it anticlockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 12
- Turn it clockwise, a quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 3
- Write the number the arrow points to. 3
Check. Turn it anticlockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 3
- Turn it clockwise, a quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.3 → 6
- Write the number the arrow points to. 6
Check. Turn it anticlockwise the same amount and it goes back to 3. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a three-quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 6
- Turn it clockwise, a three-quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.6 → 9 → 12 → 3
- Write the number the arrow points to. 3
Check. Turn it anticlockwise the same amount and it goes back to 6. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a half turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 9
- Turn it clockwise, a half turn. Each quarter turn moves the arrow 3 numbers round the clock.9 → 12 → 3
- Write the number the arrow points to. 3
Check. Turn it anticlockwise the same amount and it goes back to 9. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 12
- Turn it clockwise, a quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 3
- Write the number the arrow points to. 3
Check. Turn it anticlockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a half turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 12
- Turn it clockwise, a half turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 3 → 6
- Write the number the arrow points to. 6
Check. Turn it anticlockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a three-quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 12
- Turn it clockwise, a three-quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 3 → 6 → 9
- Write the number the arrow points to. 9
Check. Turn it anticlockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow clockwise, a whole turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 12
- Turn it clockwise, a whole turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 3 → 6 → 9 → 12
- Write the number the arrow points to. 12
Check. Turn it anticlockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Find where the arrow starts, then make one quarter turn clockwise.
- Find the start. The arrow points to 9.Start: 9
- Make a quarter turn clockwise. Clockwise goes 9, then 12.9 → 12
- Write where it points. Sam said 6, but that is three quarter turns away.No. It points to 12.
Check. From 9 clockwise to 6 is three quarter turns, not one. ✓
Watch out. Clockwise from 9 goes to 12 next, not to 6.
Method. Work out each turn in order, starting from 12.
- Start on 12. The arrow starts at the top.Start: 12
- Make 2 quarter turns clockwise. Two quarter turns make a half turn, to 6.12 → 3 → 6
- Make 1 more quarter turn clockwise. From 6, one quarter turn clockwise goes to 9.6 → 9
- Write where it points. 9
Check. Two quarter turns and one more is three quarter turns in all, so 12 to 9. ✓
Watch out. Do the turns one at a time. Start from the number the arrow is on now.
Clockwise and anticlockwise
Printable: Worksheet (PDF) · Answers (PDF) · Open this lesson on its own page
Clockwise is the way the hands of a clock move. The arrow goes from 12 to 3, then 6, then 9. Anticlockwise is the other way round. The arrow goes from 12 to 9, then 6, then 3.
The orange arrow in each picture shows the turn. Follow it to see which way it goes.
Key ideas
- Clockwise is the way the hands of a clock move: 12, 3, 6, 9.
- Anticlockwise is the other way: 12, 9, 6, 3.
- Clockwise and anticlockwise are opposite ways round.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 12
- Follow the orange arrow. It goes from the start round to the green arrow.12 → 3
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.clockwise
Check. Going anticlockwise from 12 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Turn the arrow anticlockwise, a quarter turn.
- Start with the arrow on its number. Anticlockwise goes 12, 9, 6, 3.Start: 9
- Turn it anticlockwise, a quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.9 → 6
- Write the number the arrow points to. 6
Check. Turn it clockwise the same amount and it goes back to 9. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Count the quarter turns shown by the orange arrow.
- Start at the blue arrow. Count the quarter turns from there.Start: 3
- Count the quarter turns along the orange arrow. Each quarter turn moves the arrow to the next number.3 → 12 → 9
- Name the turn. 2 quarter turns is a half turn.half turn
Check. 2 quarter turns from 3 gives 9. ✓
Watch out. Two quarter turns make a half turn. Four quarter turns make a whole turn.
Watch out
Watch out: check the direction of the orange arrow before you move the arrow. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.
Exam tip
Grown-up tip. Hold up a real clock or a plate with hands. Turn the hands clockwise and ask: “Which way did it go?” Then turn them the other way. Say “clockwise” together, and point the way the hands move.
Exercise 11F Clockwise and anticlockwise
Non-calculatorMethod. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 12
- Follow the orange arrow. It goes from the start round to the green arrow.12 → 3
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.clockwise
Check. Going anticlockwise from 12 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 12
- Follow the orange arrow. It goes from the start round to the green arrow.12 → 9
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.anticlockwise
Check. Going clockwise from 12 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 6
- Follow the orange arrow. It goes from the start round to the green arrow.6 → 9
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.clockwise
Check. Going anticlockwise from 6 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 9
- Follow the orange arrow. It goes from the start round to the green arrow.9 → 6
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.anticlockwise
Check. Going clockwise from 9 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 9
- Follow the orange arrow. It goes from the start round to the green arrow.9 → 12
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.clockwise
Check. Going anticlockwise from 9 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 12
- Follow the orange arrow. It goes from the start round to the green arrow.12 → 3
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.clockwise
Check. Going anticlockwise from 12 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 6
- Follow the orange arrow. It goes from the start round to the green arrow.6 → 3
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.anticlockwise
Check. Going clockwise from 6 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 3
- Follow the orange arrow. It goes from the start round to the green arrow.3 → 12
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.anticlockwise
Check. Going clockwise from 3 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Count the quarter turns shown by the orange arrow.
- Start at the blue arrow. Count the quarter turns from there.Start: 12
- Count the quarter turns along the orange arrow. Each quarter turn moves the arrow to the next number.12 → 3 → 6
- Name the turn. 2 quarter turns is a half turn.half turn
Check. 2 quarter turns from 12 gives 6. ✓
Watch out. Two quarter turns make a half turn. Four quarter turns make a whole turn.
Method. Turn the arrow anticlockwise, a three-quarter turn.
- Start with the arrow on its number. Anticlockwise goes 12, 9, 6, 3.Start: 6
- Turn it anticlockwise, a three-quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.6 → 3 → 12 → 9
- Write the number the arrow points to. 9
Check. Turn it clockwise the same amount and it goes back to 6. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Start with the arrow on 12. Turn it a half turn each way, and see where each one ends.
- Start on 12 for both turns. Both turns start from the same place.Start: 12
- Turn a half turn clockwise. Two quarter turns clockwise.12 → 6
- Turn a half turn anticlockwise. Two quarter turns anticlockwise.12 → 6
- Compare the two ends. Half a turn is half way round, so both ways end on the opposite side.No. Both end on 6.
Check. Half way round is the same whichever way you go round the clock. ✓
Watch out. A half turn is half way round. Going the other way round still gives half way round.
Method. Follow each turn in order, starting from 3.
- Start on 3. The arrow starts on 3.Start: 3
- Turn a quarter turn anticlockwise. Anticlockwise from 3 goes back to 12.3 → 12
- Turn a quarter turn clockwise. Clockwise from 12 goes to 3 again.12 → 3
- Write where it points. The arrow is back where it started.3
Check. One quarter turn each way cancels out, so the arrow is back on 3. ✓
Watch out. Do the anticlockwise turn first, then the clockwise turn. Each one starts from where the arrow is.
Method. Work out where each turn ends, starting from 12.
- Start on 12. Both turns start at the top.Start: 12
- Make a quarter turn clockwise. It moves to the next number clockwise.12 → 3
- Make a three-quarter turn anticlockwise. Three quarter turns anticlockwise go the long way round.12 → 9 → 6 → 3
- Compare the two ends. Both turns end on the same number.Yes. Both end on 3.
Check. A quarter turn and a three-quarter turn make a whole turn together. ✓
Watch out. Count the quarter turns: one clockwise and three anticlockwise make four in total.
Chapter summary
| Skill | Method |
|---|---|
| Above, below, top, middle, bottom | Above means higher up and below means lower down. The top is the highest place. |
| Next to, between, left, right | Read a row from the left. Next to is the very next one. Between is in the middle of two. |
| In front and behind | The shape that covers another shape is in front of it. |
| Forwards, backwards, up, down | On a track, forwards is to the right. On a lift, up means a higher floor. |
| Whole, half, quarter, three-quarter | Four quarter turns make a whole turn. Two quarter turns make a half turn. |
| Clockwise and anticlockwise | Clockwise goes 12, 3, 6, 9 round a clock. Anticlockwise goes 12, 9, 6, 3. |
Can you…?
- I can say where a shape is using above, below, top, middle and bottom
- I can say which shape is next to, between, on the left or on the right of another
- I can say which shape is in front and which is behind
- I can describe a move forwards, backwards, up or down
- I can name a whole, half, quarter or three-quarter turn
- I can turn an arrow clockwise and anticlockwise on a clock face
Key terms
- above
- higher up than something else
- below
- lower down than something else
- top
- the highest place
- bottom
- the lowest place
- next to
- the very next thing, with nothing in between
- between
- in the middle of two things
- in front
- nearer to us, or covering something behind it
- behind
- further back, or covered by something in front
- forwards
- towards the front; to the right on our track
- backwards
- back the way you came; to the left on our track
- quarter turn
- a quarter of the way round a circle or clock
- half turn
- half way round, to the opposite side
- clockwise
- the way the hands of a clock move
- anticlockwise
- the other way round, against the hands of a clock
Exercise 11Z Check-up
Non-calculatorMethod. Count the shelves from the top. The bottom shelf is shelf number 3.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: star, shelf 2: cube, shelf 3: apple
- Find the bottom shelf. It is shelf number 3.bottom shelf: apple
- Write the answer. apple
Check. There are 2 shapes above the apple and 0 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. Look at the right end of the row.
- Look at the row from the left. Read the shapes from left to right, like a book.1: apple, 2: star, 3: cube, 4: ball, 5: heart
- Find the right end. The right end is shape number 5.shape 5: heart
- Write the answer. heart
Check. There are 5 shapes, so the right end is shape 5. ✓
Watch out. The left end is the start of the row. The right end is the finish.
Method. The shape at the front covers the others. The shape at the back is covered by the others.
- Look at the picture. Find the shape that covers the others.back: cube, front: apple
- Pick the shape at the front. The front shape is the one on top.front: apple
- Write the answer. apple
Check. Every other shape is behind apple. ✓
Watch out. The shape at the front covers the others. It is not the shape that looks biggest.
Method. Move the car forwards (to the right), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 6
- Move the car 3 squares forwards (to the right). Each move goes to the next square.6 → 7 → 8 → 9
- Write the square it is on now. 9
Check. Count back 3 squares from 9 to check you reach 6. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Go up 1 floor from floor 2.
- Find the floor the lift is on. Floor 0 is the ground floor.Start: floor 2
- Go up 1 floor. Each step is one floor.2 → 3
- Write the floor the lift is on now. 3
Check. Go down 1 floor from 3 to check you reach floor 2. ✓
Watch out. Up means a higher floor number. Down means a lower floor number.
Method. Turn the arrow clockwise, a quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 9
- Turn it clockwise, a quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.9 → 12
- Write the number the arrow points to. 12
Check. Turn it anticlockwise the same amount and it goes back to 9. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Go round the clock face one quarter turn at a time, and count the turns.
- Start at 12. The arrow starts at the top of the clock.Start: 12
- Make one quarter turn after another. Each quarter turn moves the arrow on to the next number.12 → 3 → 6 → 9
- Count the quarter turns. Count each move once.3
Check. Going all the way round the clock takes 4 quarter turns, so each quarter turn is a quarter of the way round. ✓
Watch out. A half turn is two quarter turns, not one.
Method. Follow the orange arrow round the clock face to see which way it goes.
- Find where the arrow starts. The blue arrow shows the start.Start: 6
- Follow the orange arrow. It goes from the start round to the green arrow.6 → 3
- Say which way it goes. Clockwise goes 12, 3, 6, 9. Anticlockwise goes 12, 9, 6, 3.anticlockwise
Check. Going clockwise from 6 would pass different numbers. ✓
Watch out. Clockwise is the way the hands of a clock move. Check the way the orange arrow points.
Method. Count the shelves below the star, one at a time.
- Find the star. Look for it on the shelves.star is on shelf 2
- Count the shapes below it. Count each shape once. Do not count the shape you started with.ball, heart
- Write the answer. 2
Check. Together with the star, the shapes above it and below it make 4. ✓
Watch out. Count the shelves below the star only. The shelves the other way do not count.
Method. Think about the way the hands of a clock move.
- Look at the clock. The hands go round from 12 to 3, then 6, then 9.Hands: 12, 3, 6, 9
- Name the direction. This way round the clock is called clockwise.This is clockwise
- Write the answer. clockwise
Check. The other way, from 12 to 9, is anticlockwise. ✓
Watch out. Clockwise is the way the hands of a clock move.
Total 14 marks. Allow about 14 minutes.
Exercise 11X End-of-chapter quiz
Non-calculatorMethod. Count the shelves from the top. The middle shelf is shelf number 2.
- Count the shelves from the top. The top shelf is shelf number 1.shelf 1: cube, shelf 2: ball, shelf 3: heart
- Find the middle shelf. It is shelf number 2.middle shelf: ball
- Write the answer. ball
Check. There are 1 shapes above the ball and 1 below it. ✓
Watch out. Start counting from the top shelf, not from the bottom.
Method. Look at the left end of the row.
- Look at the row from the left. Read the shapes from left to right, like a book.1: star, 2: apple, 3: heart, 4: ball, 5: cube
- Find the left end. The left end is shape number 1.shape 1: star
- Write the answer. star
Check. There are 5 shapes, so the left end is shape 1. ✓
Watch out. The left end is the start of the row. The right end is the finish.
Method. Move the car forwards (to the right), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 1
- Move the car 5 squares forwards (to the right). Each move goes to the next square.1 → 2 → 3 → 4 → 5 → 6
- Write the square it is on now. 6
Check. Count back 5 squares from 6 to check you reach 1. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Go down 1 floor from floor 3.
- Find the floor the lift is on. Floor 0 is the ground floor.Start: floor 3
- Go down 1 floor. Each step is one floor.3 → 2
- Write the floor the lift is on now. 2
Check. Go up 1 floor from 2 to check you reach floor 3. ✓
Watch out. Up means a higher floor number. Down means a lower floor number.
Method. Turn the arrow clockwise, a quarter turn.
- Start with the arrow on its number. Clockwise goes 12, 3, 6, 9.Start: 3
- Turn it clockwise, a quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.3 → 6
- Write the number the arrow points to. 6
Check. Turn it anticlockwise the same amount and it goes back to 3. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. Turn the arrow anticlockwise, a three-quarter turn.
- Start with the arrow on its number. Anticlockwise goes 12, 9, 6, 3.Start: 12
- Turn it anticlockwise, a three-quarter turn. Each quarter turn moves the arrow 3 numbers round the clock.12 → 9 → 6 → 3
- Write the number the arrow points to. 3
Check. Turn it clockwise the same amount and it goes back to 12. ✓
Watch out. Count the quarter turns one at a time. Each quarter turn moves the arrow 3 numbers round the clock.
Method. The shape that covers another shape is in front of it.
- Find the star. Look for it in the picture.star is shape 2 counting from the back
- Look at the shape behind it. The shape that covers the other one is in front.behind star: ball
- Write the answer. ball
Check. The star is in front of the ball. ✓
Watch out. Look at which shape covers the other. Do not choose the shape that is higher on the page.
Method. A shape on a higher shelf is above. Find both shapes and compare their shelves.
- Find the apple and the ball. Look at which shelf each one is on.apple: shelf 3, ball: shelf 2
- Compare the shelf numbers. A smaller shelf number is higher up.shelf 2 is higher than shelf 3
- Write the answer. The apple is below the ball.
Check. Say it the other way round: the ball is above the apple. ✓
Watch out. Higher up means above. Look at the shelves, not at how big the shapes are.
Method. Move the car backwards (to the left), one square at a time.
- Find the square the car is on. Each square has a number.Start: square 10
- Move the car 6 squares backwards (to the left). Each move goes to the next square.10 → 9 → 8 → 7 → 6 → 5 → 4
- Write the square it is on now. 4
Check. Count back 6 squares from 4 to check you reach 10. ✓
Watch out. Count the squares one at a time. Do not count the square the car starts on.
Method. Do each turn in order, starting from 6.
- Start on 6. The arrow starts on 6.Start: 6
- Make 2 quarter turns clockwise. Clockwise from 6 goes to 9, then to 12.6 → 9 → 12
- Make 1 quarter turn anticlockwise. Anticlockwise from 12 goes to 9.12 → 9
- Write where it points. 9
Check. Two quarter turns clockwise, then one back, is one quarter turn clockwise from 6: 6 → 9. ✓
Watch out. Do each turn in order. Clockwise goes 6, 9, 12. Anticlockwise goes 12, 9, 6.