Step-by-step Maths Level 1: Counting back
Part of the Step-by-step Maths Level 1 taking away within 10 chapter. Chapter overview · whole chapter on one page
Counting back
To take away on a number line, start at the number. Count back, one jump at a time, to the left.
Key ideas
- Start at the number.
- Count back one step at a time, to the left.
- The number you land on is the answer.
Method. Start at 7 and count back two jumps.
- Start at 7. This is where we begin.7
- Count back 2. Six, five.6, 5
- Write the answer. 5
Check. Count on 2 from 5: 6, 7. You are back at 7.
Watch out. Count the jumps, not the numbers you land on.
Method. Start at 10 and count back four jumps.
- Start at 10. This is where we begin.10
- Count back 4. Nine, eight, seven, six.9, 8, 7, 6
- Write the answer. 6
Check. Count on 4 from 6: 7, 8, 9, 10. You are back at 10.
Watch out. Count back, to the left, not up.
Method. Start at 4 and count back three jumps.
- Start at 4. This is where we begin.4
- Count back 3. Three, two, one.3, 2, 1
- Write the answer. 1
Check. Count on 3 from 1: 2, 3, 4. You are back at 4.
Watch out. Count each jump, then stop.
Watch out
Watch out. Count back means move left. Do not count up by mistake.
Exam tip
Grown-up tip. Draw a number line from 0 to 10 on paper. Put a counter on a number, then move it back one step at a time.
Exercise 7B Counting back
Non-calculatorMethod. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.3
- Count back 2. Each jump moves one number to the left.1, 2
- Write the answer. 1
Check. Count on 2 from 1: you land on 3. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.10
- Count back 5. Each jump moves one number to the left.5, 6, 7, 8, 9
- Write the answer. 5
Check. Count on 5 from 5: you land on 10. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.10
- Count back 4. Each jump moves one number to the left.6, 7, 8, 9
- Write the answer. 6
Check. Count on 4 from 6: you land on 10. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.4
- Count back 1. Each jump moves one number to the left.3
- Write the answer. 3
Check. Count on 1 from 3: you land on 4. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.6
- Count back 5. Each jump moves one number to the left.1, 2, 3, 4, 5
- Write the answer. 1
Check. Count on 5 from 1: you land on 6. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.6
- Count back 1. Each jump moves one number to the left.5
- Write the answer. 5
Check. Count on 1 from 5: you land on 6. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.9
- Count back 3. Each jump moves one number to the left.6, 7, 8
- Write the answer. 6
Check. Count on 3 from 6: you land on 9. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.7
- Count back 3. Each jump moves one number to the left.4, 5, 6
- Write the answer. 4
Check. Count on 3 from 4: you land on 7. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.4
- Count back 3. Each jump moves one number to the left.1, 2, 3
- Write the answer. 1
Check. Count on 3 from 1: you land on 4. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.4
- Count back 2. Each jump moves one number to the left.2, 3
- Write the answer. 2
Check. Count on 2 from 2: you land on 4. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.5
- Count back 2. Each jump moves one number to the left.3, 4
- Write the answer. 3
Check. Count on 2 from 3: you land on 5. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.6
- Count back 3. Each jump moves one number to the left.3, 4, 5
- Write the answer. 3
Check. Count on 3 from 3: you land on 6. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.10
- Count back 3. Each jump moves one number to the left.7, 8, 9
- Write the answer. 7
Check. Count on 3 from 7: you land on 10. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.10
- Count back 8. Each jump moves one number to the left.2, 3, 4, 5, 6, 7, 8, 9
- Write the answer. 2
Check. Count on 8 from 2: you land on 10. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.6
- Count back 4. Each jump moves one number to the left.2, 3, 4, 5
- Write the answer. 2
Check. Count on 4 from 2: you land on 6. ✓
Watch out. Count the jumps back, not the numbers you land on.
Method. Start at the bigger number. Count back one jump at a time.
- Start at the number. We begin here and count back.9
- Count back 5. Each jump moves one number to the left.4, 5, 6, 7, 8
- Write the answer. 4
Check. Count on 5 from 4: you land on 9. ✓
Watch out. Count the jumps back, not the numbers you land on.