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Test A Calculatornot allowed First name Last name School LEVELS 3–5 KEY STAGE 2 Ma 2009 Mathematics test For marker’s use onlyPage Marks 5 7 9 11 13 15 17 19 21 23 TOTAL 289982_KS2Ma_2009_081212_v0.0_Ho1 1289982_KS2Ma_2009_081212_v0.0_Ho1 1 09/12/2008 16:27:5809/12/2008 16:27:58

Amir Lara Stefan These three children appear in some of the questions in this test. 2 289982_KS2Ma_2009_081212_v0.0_Ho2 2289982_KS2Ma_2009_081212_v0.0_Ho2 2 09/12/2008 16:27:5909/12/2008 16:27:59

Instructions Youmay not use a calculator to answer any questions in this test. Work as quickly and as carefully as you can. You have 45 minutes for this test. If you cannot do one of the questions, go on to the next one. You can come back to it later, if you have time. If you fi nish before the end, go back and check your work. Follow the instructions for each question carefully. This shows where you need to put the answer. If you need to do working out, you can use any space on a page. Some questions have an answer box like this: For these questions you may get a mark for showing your working. Show yourworking. You may get a mark. 3 289982_KS2Ma_2009_081212_v0.0_Ho3 3289982_KS2Ma_2009_081212_v0.0_Ho3 3 09/12/2008 16:28:0009/12/2008 16:28:00

4 Circle the time that is 30 minutes before midnight. 12:30 am 12:30 pm 11:30 am 11:30 pm 3 am 1 1 mark 1 Here are four digit cards. 4 6 2 7 Use all four digit cards to make this sum correct. + = 100 2 1 mark 2 289982_KS2Ma_2009_081212_v0.0_Ho4 4289982_KS2Ma_2009_081212_v0.0_Ho4 4 09/12/2008 16:28:0109/12/2008 16:28:01

Stefan makes this design on a square tile. He turns the tile. Put a tick ( ) on the tile below that has the same design as Stefan’s tile. 3 1 mark 3 5 Total out of 3 289982_KS2Ma_2009_081212_v0.0_Ho5 5289982_KS2Ma_2009_081212_v0.0_Ho5 5 09/12/2008 16:28:0109/12/2008 16:28:01

6 In this diagram the rule is ‘double the number in the square and add the number in the triangle to make the number in the circle’. 70 40 15 Use the same rule to write in the missing numbers below. 15 35 150 10 4 4a 1 mark 4b 1 mark 289982_KS2Ma_2009_081212_v0.0_Ho6 6289982_KS2Ma_2009_081212_v0.0_Ho6 6 09/12/2008 16:28:0109/12/2008 16:28:01

7 Total out of 4 This table shows where 100 people went on holiday in 2007 and 2008. 2007 2008 Spain 18 26 England 38 17 Scotland 21 13 Wales 19 28 USA 4 16 Look at the table. How many more people went to Wales than to Scotland in 2008? 5a 1 mark Which country had the greatest increase in visitors from 2007 to 2008? 5b 1 mark 5 289982_KS2Ma_2009_081212_v0.0_Ho7 7289982_KS2Ma_2009_081212_v0.0_Ho7 7 09/12/2008 16:28:0209/12/2008 16:28:02

8 One battery weighs the same as 60 paperclips. One pencil sharpener weighs the same as 20 paperclips. How many pencil sharpeners weigh the same as one battery? 6a 1 mark How many paperclips weigh the same as 2 batteries and 4 pencil sharpeners together? Show yourworking. You may get a mark. 6bi 6bii 2 marks 6 289982_KS2Ma_2009_081212_v0.0_Ho8 8289982_KS2Ma_2009_081212_v0.0_Ho8 8 09/12/2008 16:28:0209/12/2008 16:28:02

Calculate 48 ÷ 3 7 1 mark 7 Draw the reflection of the shaded shape in the mirror line. mirror line 8 1 mark 8 9 Total out of 5 289982_KS2Ma_2009_081212_v0.0_Ho9 9289982_KS2Ma_2009_081212_v0.0_Ho9 9 09/12/2008 16:28:0309/12/2008 16:28:03

10 A fraction of each shape is shaded. Match each fraction to the correct place on the number line. One has been done for you. 01 9 1 mark 9 289982_KS2Ma_2009_081212_v0.0_Ho10 10289982_KS2Ma_2009_081212_v0.0_Ho10 10 09/12/2008 16:28:0309/12/2008 16:28:03

This graph shows the age of players at a football club. 2 0 Age in years 4 6 8 Number of players10 12 14 21-25 26-30 31-35 36-40 41- 45 16-20 How many players are aged 30 or younger? 10a 1 mark A player aged 36 and a player aged 39 join the club. Add this information to the graph above. 10b 1 mark 10 11 Total out of 3 289982_KS2Ma_2009_081212_v0.0_Ho11 11289982_KS2Ma_2009_081212_v0.0_Ho11 11 09/12/2008 16:28:0309/12/2008 16:28:03

12 Amir and Lara buy some fruit. grapes £ 2.50 for 1 kilogrampeaches £ 1.99 for a box pineapples £1.40 each Amir buys 2 pineapples and a box of peaches. How much does he pay? £ 11a 1 mark Lara buys half a kilogram of grapes and one pineapple. How much change does she get from £ 5? Show yourworking. You may get a mark. £ 11bi 11bii 2 marks 11 289982_KS2Ma_2009_081212_v0.0_Ho12 12289982_KS2Ma_2009_081212_v0.0_Ho12 12 09/12/2008 16:28:0409/12/2008 16:28:04

13 Total out of 4 Amir says, ‘All numbers that end in a 4 are multiples of 4’. Is he correct? Circle Ye s or No. Yes / No Explain how you know. 12 1 mark 12 289982_KS2Ma_2009_081212_v0.0_Ho13 13289982_KS2Ma_2009_081212_v0.0_Ho13 13 09/12/2008 16:28:0409/12/2008 16:28:04

14 Here are six quadrilaterals with their mathematical names. square parallelogram rhombus oblong trapezium kite Lara chooses one of the quadrilaterals. She says, ‘It has two acute angles. All four sides are the same length’. Which quadrilateral did Lara choose? 13a 1 mark Stefan chooses one of the quadrilaterals. He says, ‘It has more than one obtuse angle. It has no parallel sides’. Which quadrilateral did Stefan choose? 13b 1 mark 13 289982_KS2Ma_2009_081212_v0.0_Ho14 14289982_KS2Ma_2009_081212_v0.0_Ho14 14 09/12/2008 16:28:0509/12/2008 16:28:05

15 Total out of 4 Circle two decimals that have a difference of 0.5 0.2 0.25 0.4 0.45 0.6 0.75 14 1 mark 14 Each of these cards has two numbers on it. 6 4 1 7 5 7 3 5 6 2 6 6 Stefan chooses one card without looking. He adds the two numbers together. What is the most likely total of the numbers on his card? 15 1 mark 15 289982_KS2Ma_2009_081212_v0.0_Ho15 15289982_KS2Ma_2009_081212_v0.0_Ho15 15 09/12/2008 16:28:0609/12/2008 16:28:06

16 900 ml 300 ml 600 ml 900 ml 300 ml 600 ml This container has 900 millilitres of water in it.Lara pours out some water so that it looks like this. How much water has Lara poured out? ml 16a 1 mark Then she pours out another 150ml of water. Draw an arrow ( ) to show the new level of the water. 900 ml 300 ml 600 ml 16b 1 mark 16 289982_KS2Ma_2009_081212_v0.0_Ho16 16289982_KS2Ma_2009_081212_v0.0_Ho16 16 09/12/2008 16:28:0609/12/2008 16:28:06

17 Total out of 4 Amir has three parcels. Parcels A and B together weigh the same as parcel C. A C B The three parcels weigh 800 grams altogether. Parcel A weighs 250 g. How much does parcel B weigh? Show yourworking. You may get a mark. g 17i 17ii 2 marks 17 289982_KS2Ma_2009_081212_v0.0_Ho17 17289982_KS2Ma_2009_081212_v0.0_Ho17 17 09/12/2008 16:28:0709/12/2008 16:28:07

18 Write all the numbers between 50 and 100 that are factors of 180 18i 18ii 2 marks 18 Calculate 602 × 57 Show yourworking. You may get a mark. 19 19i 19ii 2 marks 289982_KS2Ma_2009_081212_v0.0_Ho18 18289982_KS2Ma_2009_081212_v0.0_Ho18 18 09/12/2008 16:28:0709/12/2008 16:28:07

Lara has some identical rectangles. They are 7 centimetres long and 2 centimetres wide. 7cm 2cm She uses five of her rectangles to make the large rectangle below. What is the perimeter of the large rectangle? cm 20a 1 mark What is the area of the large rectangle? cm 2 20b 1 mark 20 Not actual size 19 Total out of 6 289982_KS2Ma_2009_081212_v0.0_Ho19 19289982_KS2Ma_2009_081212_v0.0_Ho19 19 09/12/2008 16:28:0709/12/2008 16:28:07

20 40children predicted who would win the boys’ race at sports day. This pie chart shows their predictions. To m 5% Jack Amir Stefan What percentage of the children predicted that Stefan would win? % 21a 1 mark 10 children predicted the winner of the race correctly. Who won the race? Explain how you know. 21b 1 mark 21 289982_KS2Ma_2009_081212_v0.0_Ho20 20289982_KS2Ma_2009_081212_v0.0_Ho20 20 09/12/2008 16:28:0809/12/2008 16:28:08

Two of the fractions below are equivalent. Circle them. 2 3 6 10 9 12 10 1516 20 22 1 mark 22 ABCD is a rectangle drawn on coordinate axes. The sides of the rectangle are parallel to the axes. AE 0 DB C (14, – 4) (– 10, 8) y x What are the coordinates of D and E? D is ( , ) 23a 1 mark E is ( , ) 23b 1 mark 23 21 Total out of 5 289982_KS2Ma_2009_081212_v0.0_Ho21 21289982_KS2Ma_2009_081212_v0.0_Ho21 21 09/12/2008 16:28:0809/12/2008 16:28:08

22 This design has one large square and two identical small squares. The design measures 36 centimetres by 28 centimetres. 28 cm 36 cm Calculate the length of a side of the large square. Show yourworking. You may get a mark. cm 24i 24ii 2 marks 24 Not actual size 289982_KS2Ma_2009_081212_v0.0_Ho22 22289982_KS2Ma_2009_081212_v0.0_Ho22 22 09/12/2008 16:28:0909/12/2008 16:28:09

End of test 23 Total out of 2 289982_KS2Ma_2009_081212_v0.0_Ho23 23289982_KS2Ma_2009_081212_v0.0_Ho23 23 09/12/2008 16:28:1009/12/2008 16:28:10

QCA/09/3773 (Pupil pack) © Qualifications and Curriculum Authority 2009 QCA/09/3768 (Mark schemes pack) 289982 289982_KS2Ma_2009_081212_v0.0_Ho24 24289982_KS2Ma_2009_081212_v0.0_Ho24 24 09/12/2008 16:28:1009/12/2008 16:28:10