Here Are Two Shapes on a Square Grid. for Each Shape, Write How

2 Round the following numbers.

540 to the nearest 100

236 to the nearest 10

3 1 to the nearest whole number 2ii 4 2 marks

M003503 – 4 September 2014 9:40 AM – Version 2 ANGLES AND LINES CONTENT4 HereDOMAIN is a REFERENCES:doubling sequence. KS2 SATS 1 2 3 4 5 6 7 8 9 10 G2, G4 PRACTICE QUESTIONS BY TOPIC Write the three missing numbers. 13 Look at this shape. [2009] 1 Tick ( ) each angle× 2 that is less ×than 2 a right angle.× 2 × 2

38 152 4ii

2 marks

1 mark

M003620 – 4 September 2014 9:55 AM – Version[1 mark] 2

52 Here are two shapes on a square grid. [2015] 2 For each shape, write how 5 many right angles it has. Total out of 5

289983_KS2Ma_2009_081212_v0.0_Be5 5 09/12/2008 16:29:53

1 mark [1 mark]

M003503_dublin Num N3g L3 Page 6 of 24 D00070A0624 Contains public sector information licensed under the Open Government Licence v3.0 Questions compiled by: www.nationalarchives.gov.uk/doc/open-government-licence @Maths4Everyone

wrangle SSM SSM2a1 L3 1 4G4 M004041_ticker – 1 October 2015 1:03 PM – Version 7

37 Here are five angles marked on a grid of squares. [2016] 3

d c a

Write the letters of the angles that are obtuse.

1 mark

Write the letters of the angles that are acute.

3G2 Clean M004773 – 31 October 2016 9:59 AM1 mark – Version 3 M004041 [2 marks]

154 Look at the letters below. [2017] Circle the letter below that has both parallel and perpendicular lines. 4

A C E L Z 1 mark

[1 mark]

Page 10 of 24 E00080A01024 KS2 item template version 1.1

F00080A01524 Page 15 of 24 KS2 item template version 1.2 M01513 – 3 October 2013 10:11 AM – Version 2

7 Liam buys two apples.

He pays with a £1 coin and gets 64p change.

How much does one apple cost?

Show your

working 7i

p 7ii

2 marks

M0146_2 – 3 October 2013 10:13 AM – Version 2

85 HereIn this is shape, part of one a number of the anglesline. is obtuse. [2014] 5 TickWrite ( in) the missingobtuse angle. fraction.

1 1 0 4 2 1 8

1 mark

[1 mark]

96 This diagram has four angles marked A, B, C and D. [2011] 6

M01513_pearPage 10Num ofN4a 24 L3 A B

C D

Write the letters of the angles that are obtuse angles.

1 mark [1 mark]

M0146 Ssm S4C2 L4 101

2M008_V01_KS2MathsTestB_05012011.indd 10 23/12/2010 16:05 6G3a 4G4 Drawing shapes M005850 – 26 October 2016 12:43 PM – Version 4 6G3a 4G4 Drawing shapes M005850 – 26 October 2016 12:43 PM – Version 4

6G3a 4G4 Drawing shapes M005850 – 26 October 2016 12:43 PM – Version 4

137 Circle the pentagon with exactly four acute angles. 7 [2017]13 Circle the pentagon with exactly four acute angles. 7

[2017]1377 Circle the pentagon with exactly four acute angles. 7 [2017]12 Here is a diagram for sorting numbers. [2017] 77 Write these three numbers in the correct boxes.

You may not need to use all of the boxes.

5 91720

2 marks

1 mark 1 mark 15 [1[1 mark]mark] 1 mark[1 mark] 8 13 This shape is three-quarters of a circle. 8 [1 mark] [2001] 8 [2001] 8

x 5

How many degrees is angle x? O 13

F00080A01324 Page 13 of 241 mark KS2 item template version 2 F00080A01324 Page 13 of 24 [1[1 mark]mark] 10 KS2 item template version 2 F00080A01324 Page 13 of 24 KS2 item template version 2

15 3G2 M003960_p&p – 22 April 2015 1:40 PM – Version 3

139 The diagram shows a shaded octagon on a square grid.

[2016S] Line A joins two vertices of the octagon. 9

Join two other vertices to draw a line parallel to line A.

Use a ruler.

1 mark 1 mark

Join two vertices to draw a line perpendicular to line A.

Use a ruler.

1 mark

[2 marks]

Page 14 of 24 S00060A1424 KS2 item template version 1.1 2110 Here is a regular octagon with two vertices joined to make the line AB. [2008] 10

Join two other vertices to draw one line that is parallel to the line AB.

21a

1 mark

Here is the octagon again.

Join two vertices to draw one line that is perpendicular to the line AB.

21b

1 mark [2 marks]

21 Total out of 4

TTestB.inddestB.indd 2121 115/11/20075/11/2007 115:57:445:57:44 11 [2012] 11

[2 marks]

Sourced from SATs-Papers.co.uk https://www.SATs-Papers.co.uk 2012 Here is a shape on a square grid. [2000] 12

C B

For each sentence, put a tick (✓) if it is true. Put a cross (✘) if it is not true.

Angle C is an obtuse angle.

Angle D is an acute angle.

Line AD is parallel to line BC.

Line AB is perpendicular to line AD. 20

2 marks [2 marks]

13 1813 This regular 12-sided shape has a number at each vertex. [2008] 13

3 2 4

1 5

0 6

11 7

10 8 9

Ben turns the pointer from zero, clockwise through 150°

Which number will the pointer now be at?

18a

1 mark

Nisha turns the pointer clockwise from number 2 to number 11

Through how many degrees does the pointer turn?

° 18b

1 mark

[2 marks]

TTestA.inddestA.indd 1166 115/11/20075/11/2007 115:59:225:59:22 5G4b Rotation Angle M004840 – 9 January 2017 2:33 PM – Version 7

1416 Layla completes one-and-a-half somersaults in a dive. [2017] 14

start

ﬁnish How many degrees does Layla turn through in her dive?

° 1 mark

[1 mark]

1518 [2009] Not to scale 15 65°

Calculate the size of angle y in this diagram.

Do not use a protractor (angle measurer).

° y = 18

1 mark Page 16 of 24 F00070A01624 [1 mark] KS2 item template version 1.2

19 Lara chooses a square number.

She rounds it to the nearest hundred.

Her answer is 200

Write all the possible square numbers Lara could have chosen.

19i

19ii

2 marks

17 Total out of 5

289983_KS2Ma_2009_081212_v0.0_Be17 17 09/12/2008 16:30:00 254778 Maths 5b Yr5 L3-5.qxd 7/5/03 11:25 Page 22

25 Calculate 1 of 325 5

!25

2616 PQ is a straight line. [Extra] 16 Not drawn accurately

Calculate the size of angle x.

Do not use a protractor (angle measurer). 6G4b 6G4a M004040_scissorhands – 7 January 2016 1:54 PM – Version 6 6G4b 6G4a M004040_scissorhands – 7 January 2016 1:54 PM – Version 6

° 26 6G4b 6G4a M004040_scissorhands – 7 January 2016 1:54 PM – Version 6 6G4b 6G4a M004040_scissorhands – 7 January 2016 1:54 PM – Version! 6 1617 Calculate the size of angles a and b in this diagram. 1617 Calculate the size of angles a and b in this diagram. [1 mark] [2016] 16 [2016] 1617 Calculate the size of angles a and b in this diagram. 16 161717 Calculate the size of angles a and b in this diagram. [2016] Not 16 [2016][2016] 16 toNot 17 to 22 scale scaleNot Not to 160˚ to a b scale 160˚ a b scale

5 160˚ b 160˚ aa b

a = ° ° a = 1 mark 1 mark

a = °° 10 a = 1 mark 1 mark ° b = ° b = 1 mark M0040401 mark 6C8 M003220_Divideb = – 1 October °2015 12:41 M004040PM –[2 Version marks] 3 6C8 M003220_Divideb = – 1 October° 2015 12:41 PM[2 –marks] Version 3 1 mark 1[2 mark marks] M004040 M004040 6C8 M003220_Divide – 1 October 2015 12:41 PM – Version 3 6C8 M003220_Divide – 1 October 2015 12:41 PM – Version 3 [2[2 marks]marks] 18 Write the missing number. 18 Write the missing number. 15 1818 WriteWrite thethe missingmissing number.number. 70 ÷ = 3.5 70 ÷ = 3.5 1 mark M0032201 mark 7070 ÷÷ == 3.5 3.5 M003220 11 mark mark M003220M003220

E00070A01924 Page 19 of 24 E00070A01924 Page 19 of 24 KS2 item template version 1.1 KS2 item template version 1.1 E00070A01924E00070A01924 PagePage 1919 ofof 2424 KS2KS2 item item template template version version 1.1 1.1

KS2 item template version 1.1

KS2KS2 item item template template version version 1.1 1.1 6G4b M003926_sunrise – 9 June 2015 3:18 PM – Version 4

1815 A shaded isosceles triangle is drawn inside a rectangle. [2016S] 18

Not to a scale

38º

Calculate the size of angle a.

Show M003587 – 3 September 2014 10:28 AM – Version 2 your method 2018 Here is a rectangle. a is M003587 – 3 September ˚ 2014 10:28 AM – Version 2 [2015] M003587 – 3 September 2014 10:28 AM – Version 2 18 20 Here is a rectangle. 18 [2 marks] 2 marks 2 marks 2018[2015] Here is a rectangle. 34º a 18 19 Here is a rectangle. [2015] 18 34º Not to [2015] a scale 19 34º a Not to b scale Not to scale b 5 b Calculate the size of angles a and b.

Do not measure the angles. Calculate the size of angles a and b. Calculate the size of angles a and b. Do not measure the angles. Do not measure the angles. ° a = 20a 10 1 mark ° a = 20a ° b = ° 1 mark 20b a = 20a Page 16 of 24 S00060A1624 1 mark 1 mark KS2 item template version 1.1 ° [1 mark][1 mark] b = 20b

° 1 mark b = 20b

1 mark [1 mark] [1 mark] 15

M003587_anglab SSM SSM2a4 SSM2a5 L5 D00060A01924 Page 19 of 24

M003587_anglab SSM SSM2a4 SSM2a5 L5 D00060A01924 Page 19 of 24 M003587_anglab SSM SSM2a4 SSM2a5 L5 D00060A01924 Page 19 of 24 254778 Maths 5b Yr5 L3-5.qxd 7/5/03 11:25 Page 22

25 Calculate 1 of 325 5

M01063_2 – 19 October 2012 10:09 AM – Version 1

25 20 Calculate ( 47.9 + 71.8 ) ÷ ( 6.65 × 2 ) !

1 mark

M0077_2 – 19 February 2013 11:48 AM – Version 3

2120 20 26 PQ is a straight line. [2013] Not to scale 20 [2013] 20 Not drawn accurately

50º

p 50º

CalculateCalculate thethe size size of of angle angle p inx. the diagram.

DoDo notnot useuse a a protractor protractor (angle (angle measurer). measurer).

° 26 ! [1 mark] Show your method21 Calculate the size of angle x 21i [Extra] 21 ° 21ii 22 [2 marks] 2 marks 70º Total out of 6 132º x 5 M01063 bracken Num N3k N3c1 L5 calc 3 19

A2_5PP_0801.qxd 22/01/2004 15:39 Page 13

Missing angle

10 12 Work out the size of angle y

[2 marks] M0077 XXX XXX LX 1

63˚ 15

73˚ Not drawn accurately 83˚

y = ° 2 marks

Y7/Ma/Levels 4–6/P2 13 254778 Maths 5b Yr5 L3-5.qxd 7/5/03 11:25 Page 22

25 Calculate 1 of 325 5

!25

A2_5PP_0801.qxd 22/01/2004 15:39 Page 13

Missing angle

26 PQ is a straight line. 12 Work out the size of angle y 22 Calculate the size of angle y Not drawn accurately [Extra] 22

63˚

73˚ Not drawn accurately 83˚

Calculate the size of angle x.

Do not use a protractor (angle measurer).

° !26 [2 marks]

2623 Here is an equilateral triangle inside a rectangle. [2001] 23

Not to scale x

y = ° 2 marks

Calculate the value of angle x.

Do not use a protractor (angle measurer).

Show your method. You may get a mark.

Y7/Ma/Levels 4–6/P2 O 13 26

2 marks[2 marks]

27 p and q each stand for whole numbers.

p + q = 1000

p is 150 greater than q.

Calculate the numbers p and q.

Show your method. You may get a mark.

p = q = 27 2 marks

17 Total 249 The diagram shows two overlapping squares and a straight line. [2000] 24

Not to scale

Calculate the value of angle x and the value of angle y.

Do not use a protractor (angle measurer).

x = ° 9a 1 mark

y = ° 9b 1 mark [2 marks]

8 p2_46FINAL_4pp.qxd 22/01/2004 11:00 Page 20

Overlap

2025 The diagram shows a square and an equilateral triangle. [Extra] 25

Not drawn accurately

Calculate the sizes of angles x, y and z

1 mark

x = ° y = ° z = ° 1 mark

[3 marks]

Y8/Ma/Levels 4–6/P2 20