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MATHEMATICS KEY STAGE 2 2006 LEVELS TEST A 3–5 CALCULATOR NOT ALLOWED PAGE 5 7 9 11 13 15 17 19 21 TOTAL MARKS First Name Last Name School Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Lin David Rosie 2 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Instructions You may 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 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 working. You may get a mark. For these questions you may get a mark for showing your working. 3 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 1 Write these numbers in order of size, starting with the smallest. 901 1091 910 109 190 1 1 mark smallest 2 These two shapes are made from equilateral triangles. Draw one line of symmetry on each shape. Use a ruler. 2 1 mark 4 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 3 Rosie collects data about birds visiting a bird table. Here are her results. Blackbird Sparrow Robin Blue tit Other Draw two more lines to complete the graph. 8 6 Number of birds 4 2 3a 0 1 mark Blackbird Sparrow Robin Blue tit Other Rosie saw 20 birds altogether. What fraction of the birds were blackbirds? 3b 1 mark 5 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 4 Here is a CD rack. One rack holds 25 CDs. David has 83 CDs. How many racks does he need to hold all his CDs? 4a 1 mark Lin has 6 racks full of CDs. How many CDs does Lin have altogether? 4b 1 mark 6 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 5 Complete this diagram so that the three numbers in each line add up to 150 60 90 40 50 5 1 mark 80 6 A clock shows this time. PM How long is it from this time until 5 pm? 6a 1 mark What time was it quarter of an hour before the time on the clock? pm 6b 1 mark 7 Sourced from SATs-Papers.co.uk Total out of 5 http://www.SATs-Papers.co.uk 7 Lin needs to solve this problem. ‘How many children are in the class?’ Tick ( ) all the information that Lin needs to solve her problem. There are 9 girls in the class. 5 girls in the class wear glasses. There are twice as many boys as girls in the class. 7a 1 mark David needs to solve this problem. ‘How much do two oranges and one apple cost?’ Tick ( ) all the information that David needs to solve his problem. An orange costs 5p more than an apple. An apple costs 20p David has £ 1 7b 1 mark 8 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 8 The diagram shows distances on a train journey from Exeter to York. York Derby 106 km Bristol 215 km Exeter 130 km How many kilometres is it altogether from Exeter to York? km 8a 1 mark What is the distance from Derby to York rounded to the nearest 10 km? km 8b 1 mark 9 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 9 A rectangular swimming pool is 25 metres long and 10 metres wide. length 25 m width 10 m David swims 5 lengths. Rosie swims 12 widths. How much further does David swim than Rosie? Show your working. You may get a mark. 9i metres 9ii 2 marks 10 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 10 Calculate 2006 – 289 10 1 mark 11 Match each decimal number to its equivalent fraction. One has been done for you. 0.25 3 4 0.4 2 10 0.75 1 4 0.2 2 5 11 1 mark 11 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 12 Five children have ticked this table to show on which days they are free to go out. Emma David Lin Jack Rosie Mon Tue Wed Thu Fri On how many days are more than two children free to go out? 12a 1 mark On which days are Lin and Rosie both free to go out together? 12b 1 mark 12 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 13 Write these numbers in the correct places on the diagram. 5 6 7 factors of 30 8 factors of 40 13i 13ii 2 marks 13 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 14 Here is part of a time line. Draw a line from each invention to the correct point on the time line. One has been done for you. 1876 telephone 1800 2000 14a 1810 1945 1 mark tin can computer 14b 1 mark 14 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 15 Here is a number chart. Every third number in the chart has a circle on it. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 21 19 20 22 The chart continues in the same way. Here is another row in the chart. Draw the missing circles. 71 72 73 74 75 15a 1 mark Will the number 1003 have a circle on it? Circle Yes or No. Yes / No Explain how you know. 15b 1 mark 15 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 16 There are four shapes on this diagram. The diagram is turned to the new position below. Draw the three missing shapes. 16i 16ii 2 marks 16 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 17 This chart shows the number of books some children read last month. 10 8 Number of children 6 4 2 0 1 to 3 4 to 6 7 to 9 10 to 12 13 or more Number of books How many children altogether read more than 9 books? 17a 1 mark 7 children read 4 books. 1 child read 5 books. Lin says, ‘That means 2 children read 6 books’. Explain how she can work this out from the chart. 17b 1 mark 17 Sourced from SATs-Papers.co.uk Total out of 4 http://www.SATs-Papers.co.uk 18 Calculate 52.85 + 143.6 18 1 mark 19 This shape is made from 4 shaded squares. 15cm Not actual size Calculate the perimeter of the shape. Show your working. You may get a mark. 19i cm 19ii 2 marks 18 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 20 Class 6 did a survey of the number of trees in a country park. This pie chart shows their results. oak beech ash others lime Estimate the fraction of trees in the survey that are oak trees. 20a 1 mark The children counted 60 ash trees. Use the pie chart to estimate the number of beech trees they counted. 20b 1 mark 19 Sourced from SATs-Papers.co.uk Total out of 5 http://www.SATs-Papers.co.uk 21 Here is a sketch of a triangle. It is not drawn to scale. 7 cm 72° 10 cm Draw the full-size triangle accurately below. Use a protractor (angle measurer) and a ruler. One line has been drawn for you. 21i 21ii 2 marks 10 cm 20 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 22 Calculate 848 ÷ 16 Show your working. You may get a mark. 22i 22ii 2 marks 23 k stands for a whole number. k + 7 is greater than 100 k – 7 is less than 90 Find all the numbers that k could be. 23i 23ii 2 marks 21 Sourced from SATs-Papers.co.uk Total out of 6 http://www.SATs-Papers.co.uk End of test Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk © Qualiﬁcations and Curriculum Authority 2006 QCA, 83 Piccadilly, London W1J 8QA Order refs: QCA/06/1904 (pupil pack) QCA/06/1900 (mark schemes pack) 270001 Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk