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Mathematics test Ma KEY STAGE 3 Paper 2 Calculator allowed TIER 3–5 2001 Please read this page, but do not open the booklet until your teacher tells you to start. Write your name and the name of your school in the spaces below. If you have been given a pupil number, write that also. First name Last name School Pupil number Remember I The test is 1 hour long. I You may use a calculator in this test. I You will need: pen, pencil, rubber, ruler, an angle measurer or protractor and a calculator. I This test starts with easier questions. I Try to answer all the questions. I Write all your answers and working on the test paper – do not use any rough paper. I Check your work carefully. I Ask your teacher if you are not sure what to do. For marker’s use only QCA/01/664 Total marks Borderline check Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk Instructions Answers This means write down your answer or show your working and write down your answer. Calculators You may use a calculator to answer any question in this test. KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 2 http://www.SATs-Papers.co.uk Cards 1. (a) Joe bought a box of cards for £ 6.80 He paid with a £1 0 note. How much change should Joe get? ○ ○ ○ £ ○ 1 mark (b) Sanjay bought 15 boxes of cards. Each box cost £ 6.80 How much did Sanjay pay for the boxes altogether? ○ ○ ○ £ ○ 1 mark (c) Amy paid £ 26.60 for some packets of cards. Each packet cost £ 1.90 How many packets did Amy buy? ○ ○ ○ ○ packets ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 3 http://www.SATs-Papers.co.uk No.1 Singles 2. The graph shows which pop stars had the most * no.1 singles in the UK charts. KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 * 4 November http://www.SATs-Papers.co.uk2000 Use the graph to answer these questions. (a) How many no.1 singles did George Michael have? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark (b) Who had 10 no.1 singles? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark How many more no.1 singles did Cliff Richard have than Take That? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ (c) ○ 1 mark (d) The graph shows that the Beatles and Elvis Presley came joint first. Cliff Richard came third. Who came joint fifth? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ and ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 5 http://www.SATs-Papers.co.uk Using Number Lines 3. (a) The number line goes from 0 to 100 using 4 equal steps. Each step size is 25 Fill in the missing numbers on the number line. ○ ○ ○ ○ 1 mark (b) This number line goes from 0 to 100 using 5 equal steps. Fill in the missing numbers on the number line. ○ ○ ○ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 6 http://www.SATs-Papers.co.uk (c) A different number line goes from 0 to 200 using 5 equal steps. Fill in the missing numbers on the number line. ○ ○ ○ ○ ○ ○ ○ ○ 2 marks (d) Another number line goes up in steps of size 15 How many of these steps will it take to get from 0 to 60? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 7 http://www.SATs-Papers.co.uk Map 4. The map shows the positions of seven towns, numbered 1 to 7 The dashed lines show the roads between the towns. North (a) A girl cycled from town 1 She went south to a town. Then she went east to a different town, where she stopped for a drink. In which town did she stop for a drink ? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ town 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 8 http://www.SATs-Papers.co.uk (b) Complete the missing directions in the boxes below. Start at town 5, go north to town 4, ○ ○ to town 3 ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ then go 1 mark Start at town 6, go north-west to town 7, ○ ○ to town 1 ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ then go 1 mark (c) Steve lives in one of these towns. Town 3 is west of where Steve lives. In which town does Steve live ? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ town 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 9 http://www.SATs-Papers.co.uk Ruler 5. (a) The diagram shows part of a ruler. Complete these sentences. ○ ○ ○ cm. ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ The distance between A and B is ○ 1 mark ○ ○ ○ cm. ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ The distance between C and D is ○ 1 mark (b) Look at the ruler below. 1 I want the distance between E and F to be 3 2 cm. ○ ○ ○ ○ ○ 10 ○ KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 ○ Show the two places by drawing arrows on the ruler. ○ There are two places F could be. 2 marks http://www.SATs-Papers.co.uk Getting There 6. Look at this number chain. 3 p 4 7 t 2 14 (a) Fill in the missing numbers in the circles below. ○ 1 mark ○ ○ 50 ○ 13.5 ○ ÷ ○ t 13.5 ○ p 48 ○ 16 1 mark (b) Fill in the missing numbers in the arrows below. 2700 1 mark ○ ○ ○ ○ t ○ 180 ○ 2700 ○ p ○ 180 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 11 http://www.SATs-Papers.co.uk ; Squares 7. Alika has a box of square tiles. The tiles are three different sizes. 1 by 1 tile 2 by 2 tile 3 by 3 tile She also has a mat that is 6 cm by 6 cm. 36 of the 1 by 1 tiles will cover the mat. (a) How many of the 2 by 2 tiles will cover the mat? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark (b) How many of the 3 by 3 tiles will cover the mat? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 12 http://www.SATs-Papers.co.uk ○ 1 mark ; (c) Alika glues three tiles on her mat like this: Complete the gaps below. She could cover the rest of the mat by using another two 3 by 3 tiles, and ○ ○ 1 by 1 tiles. ○ ○ ○ ○ ○ ○ ○ ○ ○ another 1 mark She could cover the rest of the mat by using another two 2 by 2 tiles, and ○ ○ 1 by 1 tiles. ○ ○ ○ ○ ○ ○ ○ ○ ○ another 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 13 http://www.SATs-Papers.co.uk Disco Costs 8. Some pupils are planning a disco. They use the spreadsheet on the opposite page to work out their costs. Use the spreadsheet to answer these questions. (a) How much does each ticket cost? ○ ○ ○ £ ○ 1 mark (b) Explain why column C always shows the same amount. ○ ○ ○ ○ 1 mark (c) The pupils will lose money if they do not sell many tickets. The pupils want to make a profit. What is the smallest number of tickets they need to sell? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark (d) The pupils decide they want to make a profit of at least £ 20 Now what is the smallest number of tickets they need to sell? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark (e) At the disco they sell 30 tickets. Work out how much profit they make. ○ ○ ○ £ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 14 http://www.SATs-Papers.co.uk A B C D E F Number of tickets we might sell Income from selling tickets Hire of hall Cost of food Total costs Profit or loss 10 £40.00 £46.50 £15.00 £61.50 – £21.50 11 £44.00 £46.50 £16.50 £63.00 – £19.00 12 £48.00 £46.50 £18.00 £64.50 – £16.50 13 £52.00 £46.50 £19.50 £66.00 – £14.00 14 £56.00 £46.50 £21.00 £67.50 – £11.50 15 £60.00 £46.50 £22.50 £69.00 – £9.00 16 £64.00 £46.50 £24.00 £70.50 – £6.50 17 £68.00 £46.50 £25.50 £72.00 – £4.00 18 £72.00 £46.50 £27.00 £73.50 – £1.50 19 £76.00 £46.50 £28.50 £75.00 £1.00 20 £80.00 £46.50 £30.00 £76.50 £3.50 21 £84.00 £46.50 £31.50 £78.00 £6.00 22 £88.00 £46.50 £33.00 £79.50 £8.50 23 £92.00 £46.50 £34.50 £81.00 £11.00 24 £96.00 £46.50 £36.00 £82.50 £13.50 25 £100.00 £46.50 £37.50 £84.00 £16.00 26 £104.00 £46.50 £39.00 £85.50 £18.50 27 £108.00 £46.50 £40.50 £87.00 £21.00 28 £112.00 £46.50 £42.00 £88.50 £23.50 29 £116.00 £46.50 £43.50 £90.00 £26.00 KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 15 http://www.SATs-Papers.co.uk Cooking 9. A cookery book shows how long, in minutes, it takes to cook a joint of meat. Microwave oven Time e ( 12 t weight in pounds ) p 15 Electric oven Time e ( 30 t weight in pounds ) p 35 (a) How long will it take to cook a 3 pound joint of meat in a microwave oven? ○ ○ ○ ○ minutes ○ ○ ○ ○ ○ ○ ○ 1 mark (b) How long will it take to cook a 7 pound joint of meat in an electric oven? ○ ○ ○ ○ minutes ○ ○ ○ ○ ○ ○ ○ 1 mark (c) How much quicker is it to cook a 2 pound joint of meat in a microwave oven than in an electric oven? Show your working. ○ ○ ○ ○ ○ ○ ○ ○ minutes ○ ○ ○ ○ ○ ○ ○ 2 marks KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 16 http://www.SATs-Papers.co.uk Pieces 10. (a) I have a square piece of card. I cut along the dashed line to make two pieces of card. Do the two pieces of card have the same area? Tick () Yes or No. Yes No Explain your answer. ○ ○ ○ ○ 1 mark (b) The card is shaded grey on the front, and black on the back. I turn piece A over to see its black side. Which of the shapes below shows the black side of piece A? Put a tick () under the correct answer. ○ ○ ○ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 17 http://www.SATs-Papers.co.uk Areas 11. (a) Tick () any rectangles below that have an area of 12 cm2 ○ ○ ○ ○ 1 mark (b) A square has an area of 100 cm2 What is its perimeter? Show your working. ○ ○ ○ ○ ○ ○ ○ ○ cm ○ ○ ○ ○ ○ ○ 2 marks KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 18 http://www.SATs-Papers.co.uk Ferry 12. Here is a plan of a ferry crossing. Not drawn accurately (a) Complete the accurate scale drawing of the ferry crossing below. ○ ○ ○ ○ ○ ○ ○ ○ 2 marks ○ ○ ○ (c) cm ○ (b) What is the length of the ferry crossing on your diagram? 1 mark The scale is 1 cm to 20 m. Work out the length of the real ferry crossing. Show your working, and write the units with your answer. ○ ○ ○ ○ ○ ○ ○ ○ 2 marks KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 19 http://www.SATs-Papers.co.uk Swimming 13. (a) You pay £ 2.40 each time you go swimming. Complete the table. Total cost (£) 0 20 30 24 ○ 10 ○ 0 ○ Number of swims ○ 1 mark (b) Now show this information on the graph on the page opposite. ○ ○ ○ ○ ○ Join the points with a straight line. ○ ○ ○ 2 marks (c) A different way of paying is to pay a yearly fee of £ 22 Then you pay £ 1.40 each time you go swimming. Complete the table. Total cost (£) 22 20 30 36 ○ 10 ○ 0 ○ Number of swims ○ 1 mark (d) Now show this information on the same graph. ○ ○ ○ ○ ○ ○ Join these points with a straight line. ○ ○ 2 marks (e) For how many swims does the graph show that the cost is the same for both ways of paying? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 20 http://www.SATs-Papers.co.uk KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 21 http://www.SATs-Papers.co.uk Mints 14. A teacher has 5 full packets of mints and 6 single mints. The number of mints inside each packet is the same. The teacher tells the class: ‘Write an expression to show how many mints there are altogether. Call the number of mints inside each packet y ’ Here are some of the expressions that the pupils write: (a) Write down two expressions that are correct. ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ and ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 2 marks (b) A pupil says: ‘I think the teacher has a total of 56 mints’. Could the pupil be correct? Tick () Yes or No. Yes No Explain how you know. ○ ○ ○ ○ 1 mark KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 22 http://www.SATs-Papers.co.uk Algebra Pairs 15. Join pairs of algebraic expressions that have the same value when a = 3, b = 2 and c = 6 One pair is joined for you. ○ ○ ○ ○ ○ ○ ○ ○ 2 marks KS3/01/Ma/Tierfrom SATs-Papers.co.uk Sourced 3–5 /P2 23 http://www.SATs-Papers.co.uk Sourced from SATs-Papers.co.uk © Qualiﬁcations and Curriculum Authority 2001 QCA, Key Stage 3 Team, 83 Piccadilly, London W1J 8QA 00-6651/3 http://www.SATs-Papers.co.uk