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Ma Mathematics test KEY STAGE 3 TIER 4–6 Paper 1 Calculator not allowed _______________________________________________ Last name _______________________________________________ School 2008 First name _______________________________________________ Remember The test is 1 hour long. You must not use a calculator for any question in this test. You will need: pen, pencil, rubber, ruler, tracing paper and mirror (optional). Some formulae you might need are on page 2. This test starts with easier questions. Try to answer all the questions. Write all your answers and working on the test paper – do not use any rough paper. Marks may be awarded for working. Check your work carefully. Ask your teacher if you are not sure what to do. For marker’s use only Sourced from SATs-Papers.co.uk 282669_p1_46.indd 1 TOTAL MARKS http://www.SATs-Papers.co.uk 30/11/07 20:29:56 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. Formulae You might need to use these formulae Trapezium b Area = 1 (a + b)h 2 height (h) a Prism length area of cross-section Volume = area of cross-section × length KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 2 2 http://www.SATs-Papers.co.uk 30/11/07 20:29:56 Calculations 1. Work out the following. 65 × 9 1 mark 154 ÷ 7 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 3 3 http://www.SATs-Papers.co.uk 30/11/07 20:29:57 Number line 2. Here is a number line. –5 –4 –3 –2 –1 0 1 2 3 4 5 It can help you work out the answers to the calculations below. The ﬁrst one is done for you. –3 + 1 = –2 –4 + 1 = 1 mark –2 + 5 = 1 mark 3 – 5 = 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 4 4 http://www.SATs-Papers.co.uk 30/11/07 20:29:57 Competition 3. 8 people took part in a chess competition. The diagram shows how many games each person won, and how many games each person lost. 6 B A 4 C Number of games lost H 2 D E 0 0 F G 2 4 6 Number of games won (a) Who won the most games? Write the person’s letter. 1 mark (b) How many games were won by person A? 1 mark (c) Each person played 7 games. Each game was won, lost or drawn. How many of person D’s games were drawn? 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 5 5 http://www.SATs-Papers.co.uk 30/11/07 20:29:57 Eight times, Adding 4. Write the missing numbers in the boxes. 8 × = 800 1 mark 0.8 × = 8 1 mark 5. Look at the calculation below. Write the correct digits in the boxes. 4 3 + 2 8 = 7 5 2 marks KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 6 6 http://www.SATs-Papers.co.uk 30/11/07 20:29:57 Grid patterns 6. On the square grid below, some squares are shaded to make a pattern with exactly 4 lines of symmetry. (a) On the square grid below, shade some squares to make a pattern with exactly 2 lines of symmetry. 1 mark (b) On the square grid below, shade some squares to make a pattern with exactly 1 line of symmetry. 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 7 7 http://www.SATs-Papers.co.uk 30/11/07 20:29:58 Think of a number 7. (a) Henry thinks of a number between 1 and 20 He thinks of the number 12 For each question below, tick ( ) Yes or No for Henry’s number. Yes No Is it an even number? Is it a multiple of 3? Is it a factor of 18? 1 mark (b) Ashraf also thinks of a number between 1 and 20 The table shows information about his number. Yes No Is it an even number? Is it a multiple of 3? Is it a factor of 18? What is Ashraf’s number? 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 8 8 http://www.SATs-Papers.co.uk 30/11/07 20:29:58 Dial 8. 6 Look at the dial. 5 7 4 0 1 3 2 The pointer starts at 0 and turns clockwise around the centre. (a) Which number does it point to after turning clockwise through 90° ? 1 mark (b) The pointer turns clockwise from 3 to 6 Through how many degrees does it turn? ° 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 9 9 http://www.SATs-Papers.co.uk 30/11/07 20:29:58 Temperatures 9. The table shows the temperatures in 10 cities on a day in December. City Athens 18 Barcelona 16 Berlin 7 Brussels 8 Dublin 9 Geneva 6 Madrid 12 Moscow 2 Paris 6 Rome (a) Temperature in °C 19 Which temperature was the mode? °C 1 mark (b) In a different city, the temperature was 5°C lower than in Moscow. What was the temperature in this city? °C 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 10 10 http://www.SATs-Papers.co.uk 30/11/07 20:29:59 Making ten, Decimals 10. Write two numbers that add to 10 One of the numbers must be positive. The other number must be negative. + 11. = 10 1 mark Work out the following. 1.2 × 6 1 mark 1.2 ÷ 6 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 11 11 http://www.SATs-Papers.co.uk 30/11/07 20:29:59 Duckweed 12. Duckweed is a plant that grows in water. Pupils added different amounts of salt to three identical containers of water. In each container they put some duckweed plants. Then they recorded the number of leaves on the plants every day. Results: 60 Container A 50 40 Number of 30 leaves Container B 20 Container C 10 0 1 3 5 7 9 11 13 15 17 19 Day Key: A: No salt B: Small amount of salt C: Large amount of salt KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 12 12 http://www.SATs-Papers.co.uk 30/11/07 20:29:59 (a) How many leaves were in each container on day 1? 1 mark (b) In container A, how many more leaves were there on day 19 than on day 1? 1 mark (c) Duckweed plants with no leaves are dead. On which day did the pupils record that the plants in container B were dead? Day 1 mark (d) How did the amount of salt affect the change in the number of leaves? 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 13 13 http://www.SATs-Papers.co.uk 30/11/07 20:29:59 Six cubes 13. Each shape in this question is made from six cubes. Look at this shape. Which two of the diagrams below show the same shape? Tick ( ) them both. 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 14 14 http://www.SATs-Papers.co.uk 30/11/07 20:30:00 Substituting, Boxes 14. Write numbers in the boxes to make the statements true. When x = x+3= When x = then 3x = When x = 15. then then x= 3 2 marks Boxes of tins are delivered to a shop. There are 37 boxes. Each box contains 25 tins. How many tins are there? 2 marks KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 15 15 http://www.SATs-Papers.co.uk 30/11/07 20:30:00 1 3 2 times table 16. (a) Write the correct numbers in the gaps below. 1 × 3 1 = 2 3 1 2 2 × 3 1 = 2 7 3 × 3 1 1 = 10 2 2 4 × 3 1 = 2 1 mark 5 × 3 1 = 2 1 mark 6 × 3 1 = 21 2 Use the table to help you work out this calculation. 60 × 3 1 = 2 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 16 16 http://www.SATs-Papers.co.uk 30/11/07 20:30:00 Solving (b) Is the answer to 11 × 3 Yes 1 a whole number? 2 No Explain your answer. 1 mark Find the values of x 17. 5x – 3 = 12 x= 1 mark 13 + 2x = 3 x= KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 17 1 mark 17 http://www.SATs-Papers.co.uk 30/11/07 20:30:01 Coordinates 18. Look at the square drawn on the graph. y ( 5, 6 ) A Not drawn accurately ( 1, 2 ) 0 x Point A is the centre of the square. What are the coordinates of point A? A is ( , ) 2 marks KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 18 18 http://www.SATs-Papers.co.uk 30/11/07 20:30:01 Expressions 19. Match each expression on the left with the equivalent expression on the right. The ﬁrst one is done for you. 3 3d + d 2d 3d 3d – d 4d 3d × d 2d 2 3d 2 3d ÷ d 2d 3 2 marks KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 19 19 http://www.SATs-Papers.co.uk 30/11/07 20:30:01 Views 20. Look at the two triangular prisms. Isometric grid They are joined to make the new shape below. TOP FRONT SIDE Isometric grid KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 20 20 http://www.SATs-Papers.co.uk 30/11/07 20:30:01 Multiple of 6 Complete the views of the new shape on the grid. The ﬁrst one is done for you. View from the TOP View from the FRONT View from the SIDE 2 marks Square grid 21. I am thinking of a number. My number is a multiple of 6 What three other numbers must my number be a multiple of? , and 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 21 21 http://www.SATs-Papers.co.uk 30/11/07 20:30:02 Test results 22. There are 25 pupils in a class. The table shows information about their test results in maths and English. English Level 5 Level 6 Level 7 Level 5 0 1 1 Level 6 2 7 0 Level 7 2 1 4 Level 8 0 1 6 maths (a) How many pupils had the same level in both maths and English? 1 mark (b) How many pupils had a higher level in maths than in English? 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 22 22 http://www.SATs-Papers.co.uk 30/11/07 20:30:02 Square tiles 23. The diagram shows a square with a perimeter of 12cm. Not drawn accurately Six of these squares ﬁt together to make a rectangle. Not drawn accurately What is the area of the rectangle? You must give the correct unit with your answer. 1 mark 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 23 23 http://www.SATs-Papers.co.uk 30/11/07 20:30:02 Walking to school 24. The table shows whether pupils in a class walk to school. Walk to school Do not walk to school Boys 8 Girls (a) 2 5 10 What percentage of the boys walk to school? % 1 mark (b) What percentage of the pupils in this class walk to school? % KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 24 2 marks 24 http://www.SATs-Papers.co.uk 30/11/07 20:30:03 100 metres 25. A pupil recorded the times of 23 people running the 100 metres. The stem-and-leaf diagram shows the results. Key: 13 14 1 3 4 14 7 7 8 9 15 0 1 1 3 4 15 5 7 8 8 9 16 (a) 6 2 2 4 4 13 6 represents 13.6 seconds 4 Two of the people ran the 100 metres in 14.7 seconds. How many of them ran the 100 metres faster than this? people 1 mark (b) What was the range of times? seconds 2 marks KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 25 25 http://www.SATs-Papers.co.uk 30/11/07 20:30:03 Sequences 26. For each sequence below, tick ( ) the correct box to show if it is increasing, decreasing or neither. increasing 1 2 1 3 1 4 7 12 8 11 9 10 1 2 2 4 3 6 4 8 3 2 4 3 5 4 6 5 KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 26 neither 1 5 6 13 decreasing 2 marks 26 http://www.SATs-Papers.co.uk 30/11/07 20:30:03 Equation, Cancelling Find the value of x 27. 6 + 2x = x – 6 x = 28. 2 marks Work out 1 × 2 × 3 × 4 × 5 = 1 × 2 × 3 1 mark KS3/08/Ma/Tier 4–6/P1 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 27 27 http://www.SATs-Papers.co.uk 30/11/07 20:30:04 END OF TEST © Qualifications and Curriculum Authority 2008 Sourced from SATs-Papers.co.uk 282669_p1_46.indd 28 QCA/08/3289 (Pupil pack) QCA/08/3286 (Mark scheme pack) http://www.SATs-Papers.co.uk 282669 30/11/07 20:30:04