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Mathematics test Ma KEY STAGE 3 Paper 1 Calculator not 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 must not use a calculator for any question in this test. I You will need: pen, pencil, rubber, ruler, tracing paper and mirror (optional). 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/01/663 Sourced from SATs-Papers.co.uk Total marks 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 must not use a calculator to answer any question in this test. KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 2 http://www.SATs-Papers.co.uk Multiplication Table 1. Look at this multiplication table. t 11 12 13 14 15 21 231 252 273 294 315 22 242 264 286 308 330 23 253 276 299 322 345 24 264 288 312 336 360 25 275 300 325 350 375 (a) Use the table to fill in the gaps below. ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark ○ ○ ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 24 e e 330 ○ ÷ ○ 288 ○ 15 t ○ 24 t 13 e 1 mark (b) Use the table to fill in the gaps. Give two different pairs of numbers. ○ ○ 1 mark ○ ○ e 264 ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 3 ○ ○ ○ ○ ○ ○ ○ ○ ○ t e 264 ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk t 1 mark http://www.SATs-Papers.co.uk Number Cards 2. Look at these number cards. 600 60 6 400 40 4 300 30 3 100 10 1 (a) Choose two of the cards that add together to give a total of 70 Show the numbers on the cards below. Now choose two different cards that add together to give a total of 70 ○ ○ ○ ○ 1 mark (b) Three of the cards add together to give a total of 70 Which three cards are they? ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 4 http://www.SATs-Papers.co.uk (c) The difference between the numbers on two of the cards is 70 Which two cards are they? ○ ○ ○ ○ 1 mark (d) Which two of the cards make this calculation correct? Write the numbers on the cards below. e 70 ○ p ○ t ○ 3 ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 5 http://www.SATs-Papers.co.uk Computation 3. (a) Work out 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ e ○ ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ e ○ ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ e ○ ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ e ○ ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ e ○ ○ 154 ○ 723 m ○ 1487 ○ 238 p ○ 4 ○ d ○ 6 ○ t ○ 69 ○ 28 m e ○ 6 19 ○ 82 p ○ 46 1 mark (b) What number should you add to 57 to make 100? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark What number should you subtract from 100 to make 86? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ (c) ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 6 http://www.SATs-Papers.co.uk What’s the Point? 4. Look at the diagram. (a) The point K is halfway between points B and C What are the coordinates of point K? ○ ○ ) ○ , ○ ( 1 mark (b) Shape ABCD is a rectangle. What are the coordinates of point D? ○ ○ ) ○ , ○ ( 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 7 http://www.SATs-Papers.co.uk Temperature 5. O The arrow by this thermometer shows a temperature of 20 C O C O 20 C O (a) Draw an arrow by the thermometer to show 7 C O Label your arrow 7 C ○ ○ ○ ○ 1 mark O (b) Draw an arrow by the thermometer to show – 5 C O Label your arrow – 5 C ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 8 http://www.SATs-Papers.co.uk (c) O In New York the temperature was – 2 C O In Atlanta the temperature was 7 C warmer. What was the temperature in Atlanta? ○ ○ ○ C ○ O ○ ○ ○ ○ ○ ○ ○ 1 mark O (d) In Amsterdam the temperature was 3 C O In Helsinki the temperature was – 8 C How many degrees warmer was it in Amsterdam than in Helsinki? ○ ○ ○ C ○ O ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 9 http://www.SATs-Papers.co.uk Twenty-seven 6. (a) Fill in the missing numbers. 27 e 27 e 27 1 mark ○ ○ ○ ○ 1 mark ○ ○ ○ ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ of ○ a quarter ○ of ○ 50% e ○ m 27 ○ 150 e ○ p ○ 1 25 2 1 mark ○ (b) Write numbers in each space below to make the calculations correct. 27 ○ e ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 10 27 ○ ○ ○ d e ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk t 1 mark http://www.SATs-Papers.co.uk Clocks 7. My clock shows: The hours and the minutes are both multiples of 3 multiple of 3 multiple of 3 (a) Write a different time when the hours and the minutes are both multiples of 3 ○ ○ ○ ○ (b) 1 mark multiple of 3 multiple of 3 Later, my clock shows: How many minutes will it be before the hours and the minutes are both multiples of 6? ○ ○ ○ minutes ○ ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 11 http://www.SATs-Papers.co.uk Folding and Cutting 8. (a) I start with a rectangle of paper. I fold it in half, then I cut out three shapes. Then I unfold my paper. Circle the diagram below that shows what my paper looks like now. ○ ○ ○ ○ 1 mark (b) I start again with a different rectangle of paper. I fold it in half, then in half again, then I cut out two shapes. Then I unfold my paper. Circle the diagram below that shows what my paper looks like now. ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 12 http://www.SATs-Papers.co.uk (c) I start with a square of paper. I fold it in half, then in half again, then I cut out one shape. Then I unfold my paper. Circle the diagram below that shows what my paper looks like now. ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 13 http://www.SATs-Papers.co.uk Motorway 9. The diagram shows how many miles there are between junctions on a motorway. junction 6 junction 5 junction 4 22 miles 3 miles 15 miles junction 3 junction 2 6 miles 4 ? miles ○ ○ ○ ○ ○ ○ ○ to ○ 2 ○ (a) How many miles is it from ○ junction 1 7 miles ○ 1 mark 1 ? ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ (b) Which junction is 31 miles from ○ 1 mark (c) Mr Patel uses the motorway. He drives from 2 to 3 and back again from 3 to 2 He does this every day for five days. How many miles does he drive on the motorway altogether? ○ ○ ○ ○ miles ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 14 http://www.SATs-Papers.co.uk Using Brackets 10. (a) Write the answers. ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 4 p (2 t 3) e ○ (4 p 2) t 3 e 1 mark (b) Work out the answer to (2 p 4) t (6 p 3 p 1) ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark Put brackets in the calculation to make the answer 50 ○ ○ 4 p 5 p 1 t 5 ○ (c) ○ 1 mark (d) Now put brackets in the calculation to make the answer 34 ○ ○ ○ 4 p 5 p 1 t 5 ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 15 http://www.SATs-Papers.co.uk Box 11. The diagram shows a box. Complete the net for the box. ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 3 marks KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 16 http://www.SATs-Papers.co.uk Fractions 12. (a) Look at these fractions. 1 2 1 3 5 6 Mark each fraction on the number line. The first one is done for you. ○ ○ ○ ○ 1 mark (b) Fill in the missing numbers in the boxes. 2 e 12 6 1 12 e 2 6 ○ ○ ○ ○ 24 ○ ○ e ○ 1 ○ 2 marks KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 17 http://www.SATs-Papers.co.uk Crisps 13. Mark and Kate each buy a family pack of crisps. Each family pack contains ten bags of crisps. The table shows how many bags of each flavour are in each family pack. flavour number of bags plain 5 vinegar 2 chicken 2 cheese 1 (a) Mark is going to take a bag of crisps at random from his family pack. Complete these sentences. 1 ○ ○ ○ 1 mark ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ The probability that the flavour will be cheese is is 2 ○ The probability that the flavour will be ○ 1 mark (b) Kate ate two bags of plain crisps from her family pack of 10 bags. Now she is going to take a bag at random from the bags that are left. What is the probability that the flavour will be cheese? ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 18 http://www.SATs-Papers.co.uk (c) A shop sells 12 bags of crisps in a large pack. I am going to take a bag at random from the large pack. The table below shows the probability of getting each flavour. Use the probabilities to work out how many bags of each flavour are in this large pack. 7 12 1 4 1 6 0 ○ 19 ○ KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk ○ cheese ○ chicken ○ vinegar ○ plain number of bags ○ probability ○ flavour 2 marks http://www.SATs-Papers.co.uk Sunshine 14. The diagrams show the number of hours of sunshine in two different months. Number of hours of sunshine in month A 20 15 Number of days 10 5 less than 4 4 to 8 more than 8 Hours of sunshine Number of hours of sunshine in month B Key: number of days with less than 4 hours number of days with 4 to 8 hours number of days with more than 8 hours KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 20 http://www.SATs-Papers.co.uk (a) How many days are there in month A? Tick () the correct box. not possible to tell ○ 31 ○ 30 ○ 29 ○ 28 1 mark (b) How many days are there in month B? Tick () the correct box. not possible to tell ○ 31 ○ 30 ○ 29 ○ 28 1 mark (c) Which month had more hours of sunshine? Tick () the correct box. month A month B Explain how you know. ○ ○ ○ KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 21 http://www.SATs-Papers.co.uk ○ 1 mark Shapes 15. (a) What fraction of this shape is shaded? Write your fraction as simply as possible. ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark (b) What percentage of this shape is shaded? ○ ○ ○ % ○ ○ ○ ○ ○ ○ ○ 1 mark (c) Which shape has the greater percentage shaded? Tick () the correct box. Shape A Shape B Shape A Both the same Explain how you know. Shape B ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 22 http://www.SATs-Papers.co.uk Trip 16. (a) A football club is planning a trip. The club hires 234 coaches. Each coach holds 52 passengers. How many passengers is that altogether? Show your working. ○ ○ ○ ○ ○ ○ ○ ○ passengers ○ ○ ○ ○ ○ ○ ○ ○ ○ 2 marks (b) The club wants to put one first aid kit into each of the 234 coaches. These first aid kits are sold in boxes of 18 How many boxes does the club need? ○ ○ ○ ○ boxes ○ ○ ○ ○ ○ ○ ○ ○ ○ 1 mark KS3/01/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk 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 00-6651/2 http://www.SATs-Papers.co.uk