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SATs practice · Year 6Chapter 5 · Geometry: angles and shapes
Year 6 · Chapter 5

Geometry: angles and shapes

By the end of this chapter you will be able to

  • Find a missing angle at a point, on a straight line, or in a triangle or quadrilateral
  • Use the angle sum of a polygon, and of a regular polygon
  • Classify a triangle or quadrilateral by its properties, and say why
  • Name the faces, edges and vertices of a 3-D shape from a picture or a description
  • Say whether a statement is always, sometimes or never true, and give a reason

You should already know

  • Right angles, straight lines and the names of 2-D shapes (Year 4 and Year 5 geometry)
  • Angles in a triangle (Year 5 geometry)

Where this leads

  • Position and coordinates (Chapter 6 of this book)

KS2 SATs practice for reasoning (Year 6). Original questions in the style of the national tests. Content: Use the properties of rectangles, triangles and regular polygons to deduce related facts (Year 5-6), Know that angles at a point add to 360 degrees, angles on a straight line add to 180 degrees, and vertically opposite angles are equal (Year 6), Calculate unknown angles in a triangle and in a quadrilateral (Year 5-6), Compare and classify triangles and quadrilaterals by their properties, and explain (Year 5-6), Identify 3-D shapes from 2-D representations, including nets, faces, edges and vertices (Year 5-6), Distinguish regular and irregular polygons, identify acute, obtuse and reflex angles, and name parts of a circle (Year 6), Prove or disprove a geometric statement with a reason (Year 5-6).

Exercise P  Do you remember?

Non-calculator
1
FWhat is the name of a shape with three sides?
2
FHow many degrees are there in a right angle?
3
FWhich angle is acute? Choose one: 120 degrees, 45 degrees or 180 degrees.
4
FHow many sides does a regular hexagon have?
5
FWhat is 180 minus 75?
5.1

Angles at a point, on a straight line and vertically opposite

Year 6
Know that angles at a point add to 360 degrees, angles on a straight line add to 180 degrees, and vertically opposite angles are equal (Year 6)
Video lesson: Angles at a point, on a straight line and vertically oppositeComing soon
Practice material. Do this without a calculator. This is practice in the style of the Year 6 maths reasoning test. It is not the official test, and no official test item is used. Marks and timings are a practice guide only.
Story. Sam is building a bookshelf from wood. The pieces meet at points, and he has to work out the angle that is left over at a corner, so he can cut the last piece correctly.

Rule

Angles at a point add up to 360 degrees. Angles on a straight line add up to 180 degrees.

Vertically opposite angles are equal: when two straight lines cross, the angles opposite each other are the same.

Key ideas

  • At a point: 360 degrees in a full turn.
  • On a straight line: 180 degrees, half a turn.
  • Vertically opposite angles are equal.
Worked example 5.1.1
Angles a, b, c meet at a point and add to a whole turn. Angles 120, 85, 60 are known. Find the missing angle, in degrees.

Method. Take the sum of the known angles from 360.

  1. Angles at a point add up to 360 degrees. A full turn is 360 degrees.
    360
  2. Add the known angles. Add the angles you know.
    120 + 85 + 60 = 265
  3. Take the total from 360. The missing angle is what is left.
    360 - 265 = 95
  4. Write the answer.
    95

Check. 120 + 85 + 60 + 95 = 360. ✓

Watch out. Do not use 180 for angles at a point. A full turn is 360.

Worked example 5.1.2
Angle x and an angle of 35 degrees lie on a straight line. Find angle x.

Method. Take the known angle from 180.

  1. Angles on a straight line add up to 180 degrees. A straight line is half a turn.
    180
  2. Subtract the known angle. Take 35 from 180.
    180 - 35 = 145
  3. Write the answer.
    145

Check. 35 + 145 = 180. ✓

Watch out. Straight line: 180. Around a point: 360.

Worked example 5.1.3
Two straight lines cross. One of the angles is 65 degrees. What is the angle vertically opposite it?

Method. Vertically opposite angles are equal.

  1. Find the opposite angle. The angle opposite a 65 degree angle is the same size.
    65 degrees
  2. Check on a straight line. The other two angles are 180 - 65 = 115 degrees each, which is consistent.
    65 + 115 = 180
  3. Write the answer.
    65

Check. 65 + 115 = 180. ✓

Watch out

Watch out. A straight line is 180 degrees, not 360. Only a full turn at a point is 360.

Exam tip

Practice guide. Mark the known angles on the picture, then write the total next to the missing angle.

Exercise 5A  Practice: angles at a point, on a line and opposite

Non-calculator
1
FAngles p, q meet at a point and add to a whole turn. Angles 90, 140 are known. Find the missing angle, in degrees.
2
FAngles a, b, c, d meet at a point and add to a whole turn. Angles 45, 100, 75, 60 are known. Find the missing angle, in degrees.
3
FAngles x, y meet at a point and add to a whole turn. Angles 200, 50 are known. Find the missing angle, in degrees.
4
FAngle y and an angle of 72 degrees lie on a straight line. Find angle y.
5
FAngle x and an angle of 115 degrees lie on a straight line. Find angle x.
6
FTwo lines cross at a point. One angle is 40 degrees. Write the size of the angle vertically opposite it.
7
PSAngles a and b are on a straight line, and angle a is three times angle b. Find angle a, in degrees.
8
FWhich angle is a reflex angle? Choose one: 60 degrees, 90 degrees or 200 degrees.
9
FTick the statements that are true. Options: Angles on a straight line add up to 180 degrees | Angles at a point add up to 180 degrees | Vertically opposite angles are equal | Angles in a triangle add up to 360 degrees. Write the options you would tick, in the order given.
10
FIs an angle of 135 degrees acute, obtuse or reflex? Write one word.
135°
11
RExplain why the angles at a point add up to 360 degrees.
12
PSTwo straight lines cross. The angles around the crossing are a, b, a and b, where a = 62 degrees. Find b.
13
RAli says that two angles that sit opposite each other where two straight lines cross are always equal. Is he right? Write yes or no.
14
PSThree angles meet at a point. Two are 110 degrees and 95 degrees. Write the third, in degrees.
5.2

Angles in triangles

Year 6
Calculate unknown angles in a triangle (Year 5-6), Use the properties of isosceles and equilateral triangles (Year 5-6)
Video lesson: Angles in trianglesComing soon
Story. Mrs Patel is cutting a triangular piece of fabric for a banner. She knows two of the angles and needs the third, so the corners fit together.

Rule

The angles in a triangle add up to 180 degrees.

In an isosceles triangle, two sides and two angles are equal. In an equilateral triangle, all three angles are 60 degrees.

Key ideas

  • Angles in a triangle: 180 degrees in total.
  • Isosceles: the two base angles are equal.
  • Equilateral: each angle is 60 degrees.
Worked example 5.2.1
In a triangle, two angles are 50 degrees and 70 degrees. Find the third angle, which is angle c.

Method. Take the sum of the two known angles from 180.

  1. Angles in a triangle add up to 180 degrees. Every triangle has three angles that total 180.
    180
  2. Add the two known angles. Add the angles you know.
    50 + 70 = 120
  3. Take the total from 180. Angle c is what is left.
    180 - 120 = 60
  4. Write the answer.
    60

Check. 50 + 70 + 60 = 180. ✓

Watch out. Check that the three angles add up to 180.

50°60°70°
A triangle with angles 50, 60 and 70 degrees (not to the exact scale of the question).
Worked example 5.2.2
An isosceles triangle has an apex angle of 40 degrees. What is each base angle, in degrees?

Method. Take the apex from 180, then share the rest equally between the two base angles.

  1. The two base angles are equal. In an isosceles triangle the base angles are the same.
    base angles are equal
  2. Find the total of the two base angles. Take the apex angle from 180.
    180 - 40 = 140
  3. Share it between the two base angles. Divide by 2.
    140 / 2 = 70
  4. Write the answer.
    70

Check. 40 + 2 x 70 = 180. ✓

Watch out. The two base angles are equal, not the apex and a base angle.

Worked example 5.2.3
A triangle has angles 30 degrees, 30 degrees and x degrees. Find x.

Method. Angles in a triangle add up to 180 degrees.

  1. Add the two known angles. 30 + 30 = 60.
    60
  2. Take from 180. 180 - 60 = 120 degrees.
    120
  3. Write the answer.
    120

Check. 30 + 30 + 120 = 180. ✓

Watch out

Watch out. In a triangle the angles add up to 180 degrees, not 360. Only a quadrilateral has 360 degrees.

Exam tip

Practice guide. Label the equal sides or angles first, so you can see which angles are the same.

Exercise 5B  Practice: angles in triangles

Non-calculator
1
FIn a triangle, two angles are 35 degrees and 85 degrees. Find the third angle, which is angle x.
2
FIn a triangle, two angles are 90 degrees and 28 degrees. Find the third angle, which is angle y.
3
FIn a triangle, two angles are 60 degrees and 60 degrees. Find the third angle, which is angle z.
4
FAn isosceles triangle has an apex angle of 30 degrees. What is each base angle, in degrees?
5
FAn isosceles triangle has an apex angle of 100 degrees. What is each base angle, in degrees?
6
FAn isosceles triangle has an apex angle of 50 degrees. What is each base angle, in degrees?
7
FEach angle of an equilateral triangle is the same size. What is each angle, in degrees?
8
PSA right-angled triangle has one angle of 38 degrees. What is the third angle, in degrees?
9
PSThe angles of a triangle are in the ratio 1:2:3. What is the largest angle, in degrees?
10
RCan a triangle have two obtuse angles? Explain.
11
RBen says a triangle can have angles of 60, 60 and 70 degrees. Is he right? Choose one: Yes, the angles add up to 190 degrees, No, the angles add up to 190 degrees or No, the angles add up to 180 degrees.
12
PSAn isosceles triangle has a top angle of 84 degrees. What is each of the two equal angles, in degrees?
13
FIn triangle ABC, angle A is 50 degrees and angle B is 60 degrees. What is angle C, in degrees?
50°60°70°
14
RProve that the two base angles of an isosceles triangle are equal, if the apex is 40 degrees. Give the reason.
5.3

Quadrilaterals and polygons

Year 6
Calculate unknown angles in a quadrilateral (Year 5-6), Distinguish regular and irregular polygons (Year 6)
Video lesson: Quadrilaterals and polygonsComing soon
Story. A garden designer draws a plan of a hexagonal flower bed and a pentagonal pond. She needs to know each angle so that the paving stones fit.

Rule

The angles in a quadrilateral add up to 360 degrees. A polygon with n sides has (n - 2) x 180 degrees of angles inside it.

A regular polygon has all sides equal and all angles equal. Each interior angle = (n - 2) x 180 / n.

Key ideas

  • Quadrilateral: 360 degrees.
  • Sum of interior angles: (n - 2) x 180.
  • Regular polygon: divide the total by the number of sides.
Worked example 5.3.1
A quadrilateral has three angles of 80, 95 and 110 degrees. What is the fourth angle, in degrees?

Method. Take the total of the three known angles from 360.

  1. Angles in a quadrilateral add up to 360 degrees. Split the shape into two triangles to see why.
    360
  2. Add the three known angles. Add them together.
    80 + 95 + 110 = 285
  3. Take the total from 360. The fourth angle is what is left.
    360 - 285 = 75
  4. Write the answer.
    75

Check. 80 + 95 + 110 + 75 = 360. ✓

Watch out. Quadrilaterals have 360 degrees; triangles have 180.

Worked example 5.3.2
What is the sum of the interior angles of a polygon with 8 sides, in degrees?

Method. Split the polygon into triangles from one corner, then multiply by 180.

  1. Split the shape into triangles from one corner. A polygon with 8 sides splits into 6 triangles.
    8 - 2 = 6
  2. Multiply by 180. Each triangle has angles of 180 degrees.
    6 x 180 = 1080
  3. Write the answer.
    1080

Check. 6 triangles x 180 = 1080. ✓

Worked example 5.3.3
Each interior angle of a regular pentagon is the same size. What is the size of one interior angle, in degrees?

Method. Find the sum of the interior angles, then divide by the number of sides.

  1. Work out the total angle inside the shape. A shape with 5 sides has 3 triangles inside it, so the total is (5 - 2) x 180.
    (5 - 2) x 180 = 540
  2. Share the total equally between the angles. All 5 angles of a regular shape are the same size.
    540 / 5 = 108
  3. Write the answer.
    108

Check. 108 x 5 = 540. ✓

Watch out. Check the total with the sum formula: (n - 2) x 180.

Watch out

Watch out. A regular pentagon has interior angles of 108 degrees, not 72. The exterior angle is 72.

Exam tip

Practice guide. Split the shape into triangles from one corner, then add up the triangles.

Exercise 5C  Practice: quadrilaterals and polygons

Non-calculator
1
FA quadrilateral has three angles of 90, 90 and 60 degrees. What is the fourth angle, in degrees?
2
FA quadrilateral has three angles of 100, 70 and 130 degrees. What is the fourth angle, in degrees?
3
FWhat is the sum of the interior angles of a polygon with 6 sides, in degrees?
4
FWhat is the sum of the interior angles of a polygon with 10 sides, in degrees?
5
FEach interior angle of a regular hexagon is the same size. What is the size of one interior angle, in degrees?
6
FEach interior angle of a regular octagon is the same size. What is the size of one interior angle, in degrees?
7
FEach interior angle of a equilateral triangle is the same size. What is the size of one interior angle, in degrees?
8
FA regular polygon has 5 equal sides. What is each exterior angle, in degrees?
9
FA regular polygon has 12 equal sides. What is each exterior angle, in degrees?
10
PSEach interior angle of a regular polygon is 150 degrees. How many sides does it have?
11
PSA pentagon has four angles of 100, 110, 95 and 120 degrees. The fifth angle is x. Find x, in degrees.
12
PSWhich polygon has interior angles that add up to 900 degrees? Choose one: hexagon, heptagon or octagon.
13
RTick the statements that are true. Options: All sides and all angles are equal in a regular polygon | A regular hexagon has interior angles of 100 degrees | Every regular polygon has an even number of sides | A regular pentagon has 5 lines of symmetry. Write the options you would tick, in the order given.
14
RExplain why the angles of a quadrilateral add up to 360 degrees.
15
FA regular octagon has interior angles of 135 degrees. Check this: what is the sum of the interior angles, in degrees?
16
RSam says a regular polygon with 9 sides has interior angles of 120 degrees. Is he right? Write yes or no.
5.4

Classifying shapes, and proving or disproving

Year 6
Compare and classify triangles and quadrilaterals by their properties, and explain (Year 5-6), Prove or disprove a geometric statement with a reason (Year 5-6)
Video lesson: Classifying shapes, and proving or disprovingComing soon
Story. Mr Hughes asks his class to sort shapes into groups. Some children say "a square is always a rhombus", and others say "an isosceles triangle must be equilateral". He asks them to prove or disprove each statement.

Rule

A rectangle has four right angles and opposite sides equal. A square is a rectangle with four equal sides. A rhombus has four equal sides. A parallelogram has two pairs of parallel sides. A trapezium has one pair of parallel sides.

To disprove a statement, find one example where it is false.

Key ideas

  • A square is a special rectangle and a special rhombus.
  • An isosceles triangle has two equal sides, and an equilateral triangle has three.
  • To disprove a statement, give one counter-example.
Worked example 5.4.1
Is a square always a rhombus? Write always, sometimes or never.

Method. A rhombus has four equal sides, and a square has four equal sides.

  1. Check the sides. A square has four equal sides.
    4 equal sides
  2. Compare with a rhombus. A rhombus has four equal sides, so every square is a rhombus.
    always
  3. Write the answer.
    always

Check. A square has four equal sides. ✓

Worked example 5.4.2
Sam says: "An isosceles triangle is always equilateral." Is Sam right? Write yes or no.

Method. Find an isosceles triangle that is not equilateral.

  1. Pick a triangle. A triangle with sides 5, 5 and 7 has two equal sides.
    5, 5, 7
  2. Check it is not equilateral. Its sides are not all equal, so it is not equilateral.
    not equilateral
  3. Write the answer.
    no

Check. The triangle 5, 5, 7 is isosceles, not equilateral. ✓

Worked example 5.4.3
Which quadrilateral has exactly one pair of parallel sides? Choose parallelogram or trapezium.

Method. Know which quadrilateral has one pair of parallel sides.

  1. Parallelogram. A parallelogram has two pairs of parallel sides.
    two pairs
  2. Trapezium. A trapezium has exactly one pair of parallel sides.
    one pair
  3. Write the answer.
    trapezium

Check. One pair of parallel sides is a trapezium. ✓

Watch out

Watch out. A square is always a rhombus, but a rhombus is not always a square.

Exam tip

Practice guide. To disprove a statement, one counter-example is enough.

Exercise 5D  Practice: classifying and proving

Non-calculator
1
FWhich shape has four equal sides but not four right angles? Choose one: rectangle, rhombus or square.
2
FTick the statements that are true for a rectangle. Options: Opposite sides are equal | All sides are equal | All angles are 90 degrees | The diagonals bisect each other. Write the options you would tick, in the order given.
3
RA parallelogram always has two pairs of equal sides. Write always, sometimes or never. Choose one: always, sometimes or never.
4
RA triangle has at most one right angle. Write always, sometimes or never. Choose one: always, sometimes or never.
5
RAn isosceles triangle is equilateral. Write always, sometimes or never. Choose one: always, sometimes or never.
6
RIs a square a rectangle? Write yes or no.
7
RDisprove this statement: "All triangles have a right angle." Give an example.
8
RProve or disprove: "A quadrilateral with four equal sides must be a square." Give a counter-example.
9
PSThe angles of a triangle are 2x, 3x and 4x degrees. Find x.
10
FTriangle ABC has angles 50, 50 and 80 degrees. What is the largest angle, in degrees?
11
RWhich triangle is it: angles 30, 60 and 90 degrees? Choose one: right-angled and scalene, equilateral or isosceles and acute.
12
RSam says a parallelogram is always a rectangle. Is he right? Explain with a shape.
13
RA quadrilateral has two pairs of equal sides, and its angles are not all equal. Is it a kite or a rectangle? Write kite or rectangle.
5.5

3-D shapes, circles and angle types

Year 6
Identify 3-D shapes from 2-D representations, including nets, faces, edges and vertices (Year 5-6), Illustrate and name parts of circles, and identify acute, obtuse and reflex angles (Year 6)
Video lesson: 3-D shapes, circles and angle typesComing soon
Story. Ruth is making a gift box and a round coaster. For the box she needs to know how many faces and edges it has. For the coaster she needs the radius and the diameter of the circle.

Rule

A face is a flat surface, an edge is where two faces meet, and a vertex is a corner.

In a circle, the radius goes from the centre to the edge, and the diameter goes across the whole circle through the centre. Diameter = 2 x radius.

Acute: less than 90 degrees. Right: 90. Obtuse: between 90 and 180. Reflex: more than 180 and less than 360.

Key ideas

  • Diameter = 2 x radius.
  • Acute < 90; obtuse between 90 and 180; reflex between 180 and 360.
  • A cube has 6 faces, 12 edges and 8 vertices.
Worked example 5.5.1
How many edges does a cube have?

Method. Count the edges: the lines where two faces meet.

  1. Picture the shape. A cube has 6 faces, 12 edges and 8 vertices.
    faces 6, edges 12, vertices 8
  2. Count the edges. An edge is where two faces meet.
    12 edges
  3. Write the answer.
    12

Check. 6 faces + 8 vertices - 12 edges = 2. ✓

Watch out. Edges are not faces. A cube has 12 edges, not 6.

Worked example 5.5.2
A circle has a radius of 5 cm. What is its diameter, in cm?

Method. Use diameter = 2 x radius.

  1. Write the rule. Diameter = 2 x radius.
    2 x 5
  2. Multiply. Double the radius.
    10
  3. Write the answer.
    10

Check. diameter = 2 x radius, so 20 = 2 x 10 or 5. ✓

Watch out. The radius is half the diameter. Do not double it when you need the radius.

Worked example 5.5.3
An angle measures 250 degrees. Write its type: acute, right, obtuse, straight or reflex.

Method. Compare the size with 90 and 180 degrees.

  1. Compare with 90 and 180. 250 degrees is compared with the rules for each type.
    250 is between 180 and 360 degrees
  2. Name the angle. An angle that is between 180 and 360 degrees is reflex.
    reflex
  3. Write the answer.
    reflex

Check. 250 is between 180 and 360 degrees. ✓

Watch out. An angle of exactly 180 degrees is a straight line; more than 180 is reflex.

Watch out

Watch out. The radius is half the diameter, not twice it. A diameter of 10 cm has a radius of 5 cm.

Exam tip

Practice guide. Count the faces, edges and vertices of a solid from a labelled picture before you answer.

Exercise 5E  Practice: 3-D shapes, circles and angle types

Non-calculator
1
FHow many edges does a triangular prism have?
2
FHow many edges does a square-based pyramid have?
3
FHow many edges does a cuboid have?
4
FA circle has a diameter of 14 cm. What is its radius, in cm?
5
FA circle has a radius of 7 cm. What is its diameter, in cm?
6
FAn angle measures 40 degrees. Write its type: acute, right, obtuse, straight or reflex.
7
FAn angle measures 90 degrees. Write its type: acute, right, obtuse, straight or reflex.
8
FAn angle measures 305 degrees. Write its type: acute, right, obtuse, straight or reflex.
9
FHow many faces does a net of a cube have when it is folded? Write the number.
10
FWhich angle is closest to 60 degrees? Choose one: 45 degrees, 60 degrees or 75 degrees.
11
FTick the statements about a circle that are true. Options: The radius is half the diameter | The diameter is half the radius | The circumference is the distance across the middle | The diameter goes through the centre. Write the options you would tick, in the order given.
12
RWhich is larger, an obtuse angle or a right angle? Write the word obtuse or right.
13
RA reflex angle is between 180 and 360 degrees. Which of these is a reflex angle: 170, 90 or 350 degrees? Write the number.
14
FA circle has a radius of 9 cm. What is its diameter, in cm?
15
RExplain why a diameter is always twice the radius.

Chapter summary

SkillMethod
Angles at a pointAdd to 360 degrees.
Angles on a straight lineAdd to 180 degrees.
Vertically oppositeAngles opposite each other at a crossing are equal.
TriangleThe three angles add to 180 degrees; isosceles has two equal base angles.
QuadrilateralThe four angles add to 360 degrees.
PolygonAngles inside add to (n - 2) x 180; regular: all sides and angles equal.
CircleDiameter = 2 x radius.
Angle typesAcute < 90; right = 90; obtuse 90 to 180; reflex 180 to 360.

Can you…?

  • I can find missing angles at a point, on a straight line and vertically opposite
  • I can find missing angles in a triangle and in a quadrilateral
  • I can use the angle sum of a polygon, and of a regular polygon
  • I can classify shapes by their properties and say why
  • I can name faces, edges and vertices of a 3-D shape
  • I can disprove a statement with a counter-example

Key terms

acute angle
an angle less than 90 degrees
obtuse angle
an angle between 90 and 180 degrees
reflex angle
an angle between 180 and 360 degrees
regular polygon
a shape with all sides and all angles equal
isosceles triangle
a triangle with two equal sides and two equal angles
counter-example
one example that shows a statement is false

Exercise 5Z  Check-up

Non-calculator
1
Angles a, b meet at a point and add to a whole turn. Angles 100, 120 are known. Find the missing angle, in degrees.
2
Angle z and an angle of 58 degrees lie on a straight line. Find angle z.
3
In a triangle, two angles are 47 degrees and 73 degrees. Find the third angle, which is angle w.
4
An isosceles triangle has an apex angle of 70 degrees. What is each base angle, in degrees?
5
A quadrilateral has three angles of 75, 110 and 95 degrees. What is the fourth angle, in degrees?
6
Each interior angle of a regular decagon is the same size. What is the size of one interior angle, in degrees?
7
A regular polygon has 10 equal sides. What is each exterior angle, in degrees?
8
How many edges does a cube have?
9
Ben says a rhombus always has four right angles. Is he right? Write yes or no.
10
An angle measures 160 degrees. Write its type: acute, right, obtuse, straight or reflex.

Total 16 marks. Allow about 16 minutes.

Exercise 5X  Practice test questions

Non-calculator
1
FAngle p and an angle of 48 degrees lie on a straight line. Find angle p.[1 mark]
2
FIn a triangle, two angles are 65 degrees and 55 degrees. Find the third angle, which is angle q.[1 mark]
3
PSAn isosceles triangle has an apex angle of 56 degrees. What is each base angle, in degrees?[2 marks]
4
FEach interior angle of a regular dodecagon is the same size. What is the size of one interior angle, in degrees?[2 marks]
5
FWhat is the sum of the interior angles of a polygon with 9 sides, in degrees?[1 mark]
6
FHow many edges does a triangular prism have?[1 mark]
7
FA circle has a diameter of 6 cm. What is its radius, in cm?[1 mark]
8
RExplain: Sam says a square is never a rectangle. Write one reason that shows why he is wrong.[2 marks]
9
RDisprove this statement: "An obtuse angle is always more than 120 degrees." Give a counter-example.[2 marks]
10
PSA regular polygon has interior angles of 108 degrees. How many sides does it have?[3 marks]

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