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Ma KEY STAGE Mathematics test 2 LEVELS 3–5 Test B Calculator allowed First name Middle name 2012 Last name School DfE number For marker’s use only Page Marks 5 7 9 11 13 15 17 19 21 23 Total Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk These three children appear in some of the questions in this test. Kirsty Seb Mina 2 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Instructions You may 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 finish 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: Show your method For these questions you may get a mark for showing your method. 3 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 1 Write the missing numbers. 57 + = 125 1a 1 mark 5 × = 175 1b 1 mark 2 Here is a semi-circle. Measure accurately the length of the straight edge. Give your answer in centimetres. cm 2 1 mark 4 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 3 Mina and Seb share these coins so that they each have the same amount of money. Mina chooses her coins first. Seb takes the rest of the coins. Which coins could Mina choose? 5 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 3 1 mark 4 Here are three shapes made from regular hexagons. Write the fraction of each shape that is shaded. 4i 4ii 2 marks 6 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 5 Here are five calculations. For each, put a tick ( ) in the box if the answer is greater than 450 Put a cross ( ) if it is not. One has been done for you. greater than 450 46 × 10 149 + 137 + 158 911 − 447 863 ÷ 2 5i 1 16 × 28 2 5ii 2 marks 7 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 6 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. A B C D Write the letters of all the triangles that have a right angle. 6a 1 mark Write the letters of all the triangles that have two equal sides. 6b 1 mark 8 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 7 A survey was done to find out children’s favourite season. This chart shows the results. spring summer autumn winter 0 2 4 6 8 10 12 Number of children 14 16 How many more children chose autumn than chose spring? 7a 1 mark Kirsty says, ‘Exactly twice as many children chose summer as chose winter.’ Is Kirsty correct? Circle Yes or No. Yes / No Explain how you know. 7b 1 mark 9 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 8 The table below shows five journeys a taxi driver made one day. journey number start time number of passengers distance cost 1 9:15 am 2 8 km £ 7.50 2 9:40 am 1 12 km £ 9.90 3 10:30 am 3 7 km £ 7.60 4 10:50 am 1 21 km £15.50 5 12:10 pm 4 15 km £12.00 On journey number 5, the passengers shared the cost equally. How much did each passenger pay? £ 8a 1 mark How many passengers made journeys of more than 10 km? passengers 8b 1 mark The 12 km journey took 40 minutes. What time did the taxi finish its journey? am 8c 1 mark 10 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 9 Here is a design on a square grid. Complete the design so that it is symmetrical about the mirror line. Use a ruler. 9 1 mark mirror line 11 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 10 Seb goes on a sponsored walk to collect money for charity. His aunt promises to pay 75p for each kilometre he walks. She pays him £ 6.75 at the end of the walk. How many kilometres does Seb walk? km 10a 1 mark 15% of the people walk 5 km or less. 40% of the people walk 8 km or more. What percentage of the people walk between 5 km and 8 km? % 10b 1 mark 12 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 11 Here is a number line. Y X 0 1 What is the value of X? X = 11a 1 mark Estimate the value of Y. Y = 11b 1 mark 13 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 12 Kirsty ran a race in one and a half minutes. Mina took 10 seconds longer. How many seconds did Mina take to run the race? seconds 12a 1 mark Seb made a jump of two and a half metres. Kirsty’s jump was 10 centimetres longer. How long was Kirsty’s jump? 12b 1 mark 14 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 13 Three single-digit numbers multiply to make 504 Write the missing numbers. × 14 × = 504 13 1 mark Mina thinks of a 3-D shape. She says, ‘It has 5 faces. Two opposite faces are triangles. The other faces are rectangles.’ What is the name of the 3-D shape? 15 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 14 1 mark 15 Seb bought 2 apples and 3 pears. He spent £1.59 altogether. Apples cost 24p each. How much does one pear cost? Show your method 15i 15ii 2 marks 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 16 Here are some tiles on a square grid. B A C D E G F Three different tiles can be fitted together without overlapping to make a shape identical to tile A. Write the letters of the three tiles. and 17 Sourced from SATs-Papers.co.uk and Total out of 3 http://www.SATs-Papers.co.uk 16 1 mark 17 A gardener plants tulip bulbs in a flower bed. She plants 3 red bulbs for every 4 white bulbs. She plants 60 red bulbs. How many white bulbs does she plant? Show your method 17i 17ii 2 marks 18 Here is a shaded shape on a 1cm square grid. 1cm 1cm What is the area of the shaded shape? cm2 18 1 mark 18 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 19 Kirsty measured the length of her shadow every hour on one sunny day. She plotted her results on this graph. 200 Length of shadow (cm) 100 0 9:00 10:00 11:00 12:00 1:00 am Time 2:00 pm 3:00 4:00 Look at the graph. Estimate the length of Kirsty’s shadow at 3:30 pm. cm 19a 1 mark Estimate a time when her shadow was 180 centimetres long. : 19 Sourced from SATs-Papers.co.uk Total out of 5 http://www.SATs-Papers.co.uk 19b 1 mark 20 The diagram shows four lines drawn on a square grid. The lines are AB, BC, CD and DA. C A B D Which two of the lines are parallel? Circle them in the list below. AB BC CD DA 20a 1 mark Which two of the lines are perpendicular? Circle them in the list below. AB BC CD DA 20b 1 mark 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 21 Write the missing number to make this calculation correct. ( 18 + 22 ) × 32 = 777.6 21 1 mark A school buys some yo-yos as prizes. The yo-yos cost £ 4.25 each. The school has £ 40 to spend on prizes. They buy as many yo-yos as they can. How much money is left? Show your method 22i 22ii 2 marks 21 Sourced from SATs-Papers.co.uk Total out of 5 http://www.SATs-Papers.co.uk 23 j and k stand for two numbers. Double j equals half of k. Write numbers to complete the sentence below. When j is then k is 23 1 mark 24 Here is a line on coordinate axes. y R Q P (25,12) O x Points O, P, Q and R are equally spaced. The coordinates of P are (25,12). What are the coordinates of R? R = ( , ) 24 1 mark 22 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 25 Three whole numbers add up to 50 Seb says, ‘All three numbers must be even numbers.’ Is Seb correct? Circle Yes or No. Yes / No Explain how you know. 25 1 mark 23 Sourced from SATs-Papers.co.uk Total out of 3 http://www.SATs-Papers.co.uk © Crown copyright 2012 STA/12/5589 (Pupil pack) STA/12/5581 (Mark schemes pack) Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk