TRIANGLESCONTENT DOMAIN REFERENCES:G2, G4

KS2 SATSPRACTICE QUESTIONS BY TOPIC

1 2 3 4 5 6 7 8 9 10

12

Here are four triangles drawn on a square grid.

Write the letter for each triangle in the correct region of the sorting diagram.

One has been done for you.

A

12

12

2 marks

12

Here are four triangles drawn on a square grid.

Write the letter for each triangle in the correct region of the sorting diagram.

One has been done for you.

A

12

12

2 marks

12

Here are four triangles drawn on a square grid.

Write the letter for each triangle in the correct region of the sorting diagram.

One has been done for you.

A

12

12

2 marks

12

Here are four triangles drawn on a square grid.

Write the letter for each triangle in the correct region of the sorting diagram.

One has been done for you.

A

12

12

2 marks

[2 marks]

11

[2002]

Questions compiled by:@Maths4Everyone

Contains public sector information licensed under the Open Government Licence v3.0www.nationalarchives.gov.uk/doc/open-government-licence

12

Here are four triangles on a square grid.

A C D

B

Write the letters of the two isosceles triangles.

and 14

1 mark

14

Jamie, Kate and Hassan run a 50m race.

Kate’s time is 13 seconds.

Jamie finishes 5 seconds before Kate.

Hassan finishes 3 seconds after Jamie.

What is Hassan’s time in seconds?

seconds

13

1 mark

13

21 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37KS2 MathsTestB_275356.indd 12KS2 MathsTestB_275356.indd 12 14/2/07 3:13:09 pm14/2/07 3:13:09 pm

[1 mark]

22

[2007]

17

equilateral equilateral

isosceles isosceles

scalene scalene

18

17

1 mark

18

1 mark

On this scale, the arrow ( ) showsthe weight of this pineapple.

Here is a different scale.

Mark with an arrow ( ) the weight of the same pineapple.

These two shaded triangles are each insidea regular hexagon.

Under each hexagon, put a ring around the correct nameof the shaded triangle.

12

[1 mark]

33

[2001]

This diagram shows a square with dots at the vertices and at the middle of each side.

The square is divided into four triangles, A, B, C and D.

5

10

15

Write the letters of all the triangles that have a right angle.

Write the letters of all the isosceles triangles.

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

Sourced from SATs-Papers.co.uk https://www.SATs-Papers.co.uk

[2 marks]

5

5

[2012]

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

[2 marks]

44

[2012]

Page 15 of 20

Anna has four different triangles.

Complete the table to show the size of the angles in each triangle.

Type of triangle Angle 1 Angle 2 Angle 3

Isosceles 90º

Right-angled 80º

Isosceles 70º

Isosceles 70º

12

M01946_missing angles S S2a/S2b/SUA1 L5

2 marks

M01946 – 26 November 2014 1:55 PM – Version 2

D00130A01520

T

Anna has four different triangles.

Complete the table to show the size of the angles in each triangle.

cm

[2 marks]

55

[Extra]

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

Here are five shaded triangles on a square grid.

5

10

15

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

Write the letter of each triangle that has a right angle.

Write the letter of each triangle that has two equal sides.

[2 marks]

66

[2010]

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

Here are five shaded triangles on a square grid.

5

10

15

17 Total out of 4

Here are five shaded triangles on a square grid.

A B C D E

Write the letter of each triangle that has a right angle.

16a

1 mark

Write the letter of each triangle that has two equal sides.

16b

1 mark

16

[2 marks]

6

6

[2010]

Write the letter of each triangle that has a right angle.

Write the letter of each triangle that has two equal sides.

[2 marks]

6

6

[2010]

Height in metres Height in metres Height metres Height in metres

5

10

15

KS3/04/Ma/Tier 5–7/P210

Same area

8. (a) The square and the rectangle below have the same area.

Work out the value of y

y = cm

(b) The triangle and the rectangle below have the same area.

Work out the value of w

Show your working.

w = cm

Not drawn accurately

Not drawn accurately

2 marks

1 mark

T

The triangle and the rectangle below has the same area.

Work out the value of w.

[2 marks]

18

18

[Extra]

KS3/07/Ma/Tier 4–6/P2 13

Containers, Triangles

12. Here are two containers and the amounts they hold.

750 millilitres

A

B

0.5 litre

Not drawnaccurately

Which container holds the greater amount?

A B

How much more does it hold?

Give your answer in millilitres.

millilitres

13. (a) A triangle has three equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

(b) A right-angled triangle has two equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

1 mark

1 mark

1 mark

275663_p2_46.indd 13275663_p2_46.indd 13 15/11/06 10:20:46 pm15/11/06 10:20:46 pm

T

XXXX

cm

[2 marks]

19

19

[Extra]

KS3/04/Ma/Tier 5–7/P210

Same area

8. (a) The square and the rectangle below have the same area.

Work out the value of y

y = cm

(b) The triangle and the rectangle below have the same area.

Work out the value of w

Show your working.

w = cm

Not drawn accurately

Not drawn accurately

2 marks

1 mark

T

The triangle and the rectangle below has the same area.

Work out the value of w.

[2 marks]

18

18

[Extra]

KS3/07/Ma/Tier 4–6/P2 13

Containers, Triangles

12. Here are two containers and the amounts they hold.

750 millilitres

A

B

0.5 litre

Not drawnaccurately

Which container holds the greater amount?

A B

How much more does it hold?

Give your answer in millilitres.

millilitres

13. (a) A triangle has three equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

(b) A right-angled triangle has two equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

1 mark

1 mark

1 mark

275663_p2_46.indd 13275663_p2_46.indd 13 15/11/06 10:20:46 pm15/11/06 10:20:46 pm

T

XXXX

cm

[2 marks]

19

19

[Extra]

KS3/04/Ma/Tier 5–7/P210

Same area

8. (a) The square and the rectangle below have the same area.

Work out the value of y

y = cm

(b) The triangle and the rectangle below have the same area.

Work out the value of w

Show your working.

w = cm

Not drawn accurately

Not drawn accurately

2 marks

1 mark

T

The triangle and the rectangle below has the same area.

Work out the value of w.

[2 marks]

18

18

[Extra]

KS3/07/Ma/Tier 4–6/P2 13

Containers, Triangles

12. Here are two containers and the amounts they hold.

750 millilitres

A

B

0.5 litre

Not drawnaccurately

Which container holds the greater amount?

A B

How much more does it hold?

Give your answer in millilitres.

millilitres

13. (a) A triangle has three equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

(b) A right-angled triangle has two equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

1 mark

1 mark

1 mark

275663_p2_46.indd 13275663_p2_46.indd 13 15/11/06 10:20:46 pm15/11/06 10:20:46 pm

T

XXXX

cm

[2 marks]

19

19

[Extra]

KS3/04/Ma/Tier 5–7/P210

Same area

8. (a) The square and the rectangle below have the same area.

Work out the value of y

y = cm

(b) The triangle and the rectangle below have the same area.

Work out the value of w

Show your working.

w = cm

Not drawn accurately

Not drawn accurately

2 marks

1 mark

T

The triangle and the rectangle below has the same area.

Work out the value of w.

[2 marks]

18

18

[Extra]

KS3/07/Ma/Tier 4–6/P2 13

Containers, Triangles

12. Here are two containers and the amounts they hold.

750 millilitres

A

B

0.5 litre

Not drawnaccurately

Which container holds the greater amount?

A B

How much more does it hold?

Give your answer in millilitres.

millilitres

13. (a) A triangle has three equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

(b) A right-angled triangle has two equal sides.

Write the sizes of the angles in this triangle.

°,

°,

°

1 mark

1 mark

1 mark

275663_p2_46.indd 13275663_p2_46.indd 13 15/11/06 10:20:46 pm15/11/06 10:20:46 pm

T

XXXX

cm

[2 marks]

19

19

[Extra]

[2 marks]

7

7

[Extra]

[2 marks]

77

[Extra]

Y8/Ma/Levels 4–6/P1 9

Triangle statement

Look at the triangle ABC, drawn on a square grid.

Here are some statements about triangle ABC.

For each statement tick ( ) True or False.

True False

The triangle is isosceles.

The triangle has only one line of symmetry.

The triangle is right-angled.

The coordinates of A are (2, 3)

8

2 marks

6

5

4

3

2

1

0

A

BC

0 1 2 3 4 5 6

p1_46FINAL_4pp.qxd 21/01/2004 16:44 Page 9

TLook at the triangle ABC, drawn on a square grid.

5

10

15Here are some statements about triangle ABC.

For each statement tick (�)True or False.

Y8/Ma/Levels 4–6/P1 9

Triangle statement

Look at the triangle ABC, drawn on a square grid.

Here are some statements about triangle ABC.

For each statement tick ( ) True or False.

True False

The triangle is isosceles.

The triangle has only one line of symmetry.

The triangle is right-angled.

The coordinates of A are (2, 3)

8

2 marks

6

5

4

3

2

1

0

A

BC

0 1 2 3 4 5 6

p1_46FINAL_4pp.qxd 21/01/2004 16:44 Page 9

T

[2 marks]

88

[Extra]

22

Jamie draws a triangle.

He says,

‘Two of the three angles in my triangle are obtuse’.

Explain why Jamie cannot be correct.

25

1 mark

25

Part of this number line is shaded.

0 1 2

Circle all the numbers below that belong in the shaded part ofthe number line.

1.1 1.4 113 11

5 24

1 mark

24

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[1 mark]

99

[2007]

18

21 Here are four statements.

A triangle can have 2 acute angles.

A triangle can have 2 obtuse angles.

A triangle can have 2 parallel sides.

A triangle can have 2 perpendicular sides.

For each statement put a tick ( ) if it is possible.Put a cross ( ) if it is impossible.

22

smallest

1720

910

35

34

Write these fractions in order of size starting with thesmallest.

21ii

2 marks

21i

22

1 mark

[2 marks]

1010

[2005]

Y7/Ma/Levels 4–6/P2 16

Drawing triangles

(a) Tina measures the angles in a triangle.

The sketch shows her results.

How can you tell that Tina has made a mistake?

(b) Draw a triangle with one angle of 35° and one angle of 45°

Use the line below as one side of the triangle,and draw the triangle accurately.

16

2 marks

1 mark

Not drawn accurately

A2_5PP_0801.qxd 22/01/2004 15:40 Page 16

t

Tina measures the angles in a triangle.

The sketch shows her results.

5

10

15

How can you tell that Tina has made a mistake?

Height in metres Height in metres Height metres Height in metres

[1 mark]

1111

[Extra]

16

A packet contains 1.5 kilograms of guinea pig food.

Remi feeds her guinea pig 30 grams of food each day.

How many days does the packet of food last?

days

19

An isosceles triangle has a perimeter of 12cm.

One of its sides is 5cm.

What could the length of each of the other two sides be?

Two different answers are possible.

Give both answers.

cmandcm

cmandcm

20

19ii

2 marks

19i

20ii

2 marks

20i

[2 marks]

1212

[2003]

Here are five triangles on a square grid.

5

10

15

Page 19 of 24

Here are five triangles on a square grid.

A

B

DE

C

Four of the triangles have the same area.

Which triangle has a different area?

17

1 markM003985

M003985_axehead – 8 December 2015 4:29 PM – Version 4

KS2 item template version 1.1

6M7b

E00080A01924

[1 mark]

12

12

[2016]

Four of the triangles have the same area.

Which triangle has a different area?

[1 mark]

1313

[2016]

Y9/Ma/Tier 4–6/P2 24

Possible?

23. (a) Is it possible to draw a triangle with angles 150°, 10° and 10°?

Yes No

Explain your answer.

(b) Is it possible to draw a triangle with sides 150cm, 10cm and 10cm?

Yes No

Explain your answer.

1 mark

1 mark

112009_p2.46.indd 24 07/12/2009 12:40:58

T

XXXX

[1 mark]

1414

[Extra]

17 Total out of 4

20 7.4 8.1 9.4 10

and

Which two of these numbers, when multiplied together,have the answer closest to 70?

21 Here is an isosceles triangle.

Do not use a protractor (angle measurer).

x = °

Calculate the size of angle x.

110˚

Not to scale

20

1 mark

21

1 mark

[1 mark]

1515

[2005]

KS3/05/Ma/Tier 4–6/P1 21

3637 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

Angle p

22. This shape has been made from two congruent isosceles triangles.

What is the size of angle p?

p = °

35˚

35˚

2 marks

Not drawnaccurately

265280 Ma KS3 4-6.qxp 20/6/05 9:55 am Page 21 T

This shape has been made from two congruent isosceles triangles.

º

What is the size of angle p?

[2 marks]

1616

[Extra]

Total18

Look at this diagram.

Calculate the size of angle x and angle y.

Do not use a protractor (angle measurer).

Not to scale

y = O

x = O

23

Which is larger, or ?

Explain how you know.

25

13

24

24

1 mark

23b

1 mark

23a

1 mark

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

[2 marks]

1717

[2002]

06

The diagram shows an isosceles triangle and a square on a straight line.

Calculate angle a.

3

2 marks

M01451_calcangle L5 S

34°

a

Not to scale

Show your

method

°

M01451_calcangle – 25 February 2013 8:37 AM – Version 2

T

The diagram shows an isosceles triangle and a square on astraight line.

Calculate angle a.

[2 marks]

1818

[Extra]

Y9/Ma/Tier 4–6/P1 20

Angle k, Terms

20. Look at the diagram.

130º 85ºBA

kNot drawnaccurately

AB is a straight line.

Work out the size of angle k

k = °

2 marks

21. Look at the sequence below.

To get the next term in the sequence, subtract 90 from the term before.

500 410 320 …

Write the first two terms of the sequence that are less than zero.

, 2 marks

072009_p1.46.indd 20 07/12/2009 12:38:57

T

Look at the diagram.

º

AB is a straight line.

Work out the size of angle k

[2 marks]

1919

[Extra]

5 The diagram shows two shaded equilateral triangles.

Calculate the size of the angle x and angle y.

Do not use a protractor (angle measurer).

6 Find the value of u in this equation.

7 + 4u = 70 – 3u

6

2 marks

x = y =

Not to scale

5b

1 mark

O O

5a

1 mark

4

Showyour method.You may get

a mark.

[2 marks]

2020

[2001]

KS3/04/Ma/Tier 5–7/P210

Same area

8. (a) The square and the rectangle below have the same area.

Work out the value of y

y = cm

(b) The triangle and the rectangle below have the same area.

Work out the value of w

Show your working.

w = cm

Not drawn accurately

Not drawn accurately

2 marks

1 mark

T

The triangle and the rectangle below has the same area.

Work out the value of w.

[2 marks]

2121

[Extra]

Page 13 of 16

11

M01958_shaded triangle S S5/S4e L6

The diagram shows a shaded triangle inside a rectangle.

4cm

6cm

10cm

What is the area of the shaded triangle?

Show your

working

cm2

Not actual size

2 marks

M01958_shaded triangle – 15 November 2013 11:32 AM – Version 2

T

The diagram shows a shaded triangle inside a rectangle.

cm2

What is the area of the shaded triangle?

[2 marks]

2222

[Extra]