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Ma KEY STAGE 3 TIERS 3–5 2006 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school in the spaces below. First name Last name School Remember ■ The test is 1 hour long. ■ You may use a calculator for any question in this test. ■ You will need: pen, pencil, rubber, ruler, tracing paper and mirror (optional) and a calculator. ■ 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 Total marks Borderline check QCA/06/1925 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 1 http://www.SATs-Papers.co.uk 14/12/05 8:31:41 pm 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. KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 2 2 http://www.SATs-Papers.co.uk 14/12/05 8:31:42 pm Matching 1. Draw lines to match the words to the correct numbers. The ﬁrst one is done for you. thirty-six 3006 three hundred and six 36 three thousand and six 306 three thousand and sixty 3600 three thousand six hundred 3060 2 marks KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 3 3 http://www.SATs-Papers.co.uk 14/12/05 8:31:43 pm Pupil list 2. There are 12 pupils in a group. The table on the opposite page gives information about them. Use the table to answer these questions. (a) How many girls are in this group? 1 mark (b) Whose birthday is one day after Alex Alcroft’s birthday? 1 mark (c) Who is the oldest boy in the group? 1 mark (d) A new pupil, Sue Li, joins the group. She was born exactly 1 month after Laura Miller. What is Sue’s date of birth? 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 4 4 http://www.SATs-Papers.co.uk 14/12/05 8:31:43 pm First name Last name Male or Female? Date of birth Alex Alcroft M 20.11.92 Helen Brooks F 10.01.93 Huw Davies M 21.11.92 Ben Howard M 24.06.93 Laura Miller F 07.12.92 Amy Pound F 08.06.93 Surjit Sandhu F 03.01.93 Jade Smith F 04.09.92 Mike Smith M 26.01.93 Leroy Taylor M 06.10.92 Claire White F 23.09.92 Louise Wilson F 26.02.93 KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 5 5 http://www.SATs-Papers.co.uk 14/12/05 8:31:44 pm Thinking angles 3. (a) Look at this quadrilateral. a d b c Which angle is biggest? Tick ( ) the correct box below. Angle a Angle b Angle c Angle d 1 mark (b) Now look at this quadrilateral. h e f g Angle e is marked with straight lines. What does this tell you about the angle? 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 6 6 http://www.SATs-Papers.co.uk 14/12/05 8:31:44 pm Moving on a grid 4. To move from A to B B on the square grid: move then (a) North 3 East 2 A North Write the missing direction. To move from C to D on the square grid: move C East 3 D then North 1 mark (b) Write the missing directions. To move around the four sides of a square on the square grid: move West 1 then then then 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 7 7 http://www.SATs-Papers.co.uk 14/12/05 8:31:44 pm Cards 5. A shop sells birthday cards. Each card has a code that shows the price. Code Price of card A 95p B C £ 1.65 D £ 1.95 E (a) £ 1.25 £ 2.35 Karen pays for two cards. One card has code A on it. The other has code C. Altogether, how much does Karen pay? £ 1 mark (b) Tariq pays for two cards. Both cards have code D on them. Tariq pays with a £10 note. How much change should he get? £ 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 8 8 http://www.SATs-Papers.co.uk 14/12/05 8:31:45 pm (c) Greg pays for two cards. Altogether he pays £ 3.60 What could the codes on Greg’s cards be? There are two different answers. Write them both. The codes could be and , or 1 mark the codes could be and 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 9 9 http://www.SATs-Papers.co.uk 14/12/05 8:31:46 pm Tennis 6. Five people played each other at tennis. The table shows who won each game. For example, when Bob played Ann, Bob won. Ann Ann Bob Bob Carl Ann Carl Dan Ann Dan Carl Ed (a) Bob Carl Ann Bob Carl Dan Ed Dan Ann played four games. How many games did she win? 1 mark (b) Write the name of the person who lost all their games. 1 mark (c) Explain why there is a cross ( ) in some of the boxes. 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 10 10 http://www.SATs-Papers.co.uk 14/12/05 8:31:46 pm Joining points 7. There are twelve points marked around this circle. The points are equally spaced. You can join 4 points to make a rectangle. (a) Join 4 points to make a square. 1 mark (b) Join 3 points to make an equilateral triangle. 1 mark (c) Join a different set of 3 points to make an isosceles triangle. 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 11 11 http://www.SATs-Papers.co.uk 14/12/05 8:31:47 pm Mirror lines 8. The square grid shows a rectangle reﬂected in two mirror lines. mirror line mirror line On the square grid below, show the triangle reﬂected in the two mirror lines. mirror line 2 marks mirror line KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 12 12 http://www.SATs-Papers.co.uk 14/12/05 8:31:47 pm Using rules 9. (a) These rules show how to get from one number to the next in these sequences. Use the rules to write the next two numbers in each sequence. Rule: Add 8 4 12 1 mark Rule: Multiply by 3 4 12 1 mark Rule: Divide by 4 then add 11 4 12 1 mark (b) A sequence of numbers starts like this: 30 22 18 Could the rule be Subtract 8? Yes No Explain your answer. 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 13 13 http://www.SATs-Papers.co.uk 14/12/05 8:31:48 pm Cough mixture 10. A bottle contains 250ml of cough mixture. Adult - take 10 ml four times a day Child - take 5 ml four times a day One adult and one child need to take cough mixture 4 times a day every day for 5 days. Will there be enough cough mixture in the bottle? Explain your answer. 2 marks KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 14 14 http://www.SATs-Papers.co.uk 14/12/05 8:31:48 pm Working with areas 11. The grids in this question are centimetre square grids. For each shape on the left, draw a rectangle that has the same area. The ﬁrst one is done for you. Shape Rectangle 1 mark 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 15 15 http://www.SATs-Papers.co.uk 14/12/05 8:31:49 pm Pregnancy 12. The table shows the average length of pregnancy for different mammals. Mammal Average length of pregnancy Dolphin 276 days Horse 337 days Seal 350 days Whale 365 days Camel 406 days Elephant 640 days Use the information in the table to answer these questions. (a) Which mammal has an average length of pregnancy of 1 year? 1 mark (b) Which mammal has an average length of pregnancy of 50 weeks? 1 mark (c) A human has an average length of pregnancy of about 9 months. Which other mammal also has an average length of pregnancy of about 9 months? 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 16 16 http://www.SATs-Papers.co.uk 14/12/05 8:31:49 pm Missing numbers 13. Write the missing numbers in the boxes. 4 × + 20 = 180 1 mark 4 × 20 + = 180 1 mark 4 × – 20 = 180 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 17 17 http://www.SATs-Papers.co.uk 14/12/05 8:31:50 pm Hexagons 14. I use two congruent trapeziums to make the shapes below. Tick ( ) all the shapes that are hexagons. 2 marks KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 18 18 http://www.SATs-Papers.co.uk 14/12/05 8:31:50 pm Sponsored swim 15. The pupils in a class had a sponsored swim. They collected £429.24 (a) How much is £429.24 to the nearest hundred pounds? £ 1 mark (b) How much is £429.24 to the nearest ten pounds? £ 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 19 19 http://www.SATs-Papers.co.uk 14/12/05 8:31:50 pm Wine gums 16. Wine gums are sweets that are made in different colours. Pupils tested whether people can taste the difference between black wine gums and other wine gums. The percentage bar charts show three pupils’ results. Key: Cannot taste the difference Can taste the difference Ravi’s results Sita’s results Tina’s results 100% 100% 100% 80% 80% 80% 60% 60% 60% 40% 40% 40% 20% 20% 20% 0% 0% 0% Ravi asked 50 people KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 20 Sita asked 100 people Tina asked 200 people 20 http://www.SATs-Papers.co.uk 14/12/05 8:31:51 pm Values (a) Complete the table. Number of people who were tested Ravi 100 Tina Number of people who cannot taste the difference 50 Sita Number of people who can taste the difference 200 3 marks (b) Explain why Tina’s results are likely to be more reliable than Ravi’s or Sita’s. 1 mark 17. Look at the three expressions below. 8+k k2 3k When k = 10, what is the value of each expression? 8+k= k2 = 3k = 2 marks KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 21 21 http://www.SATs-Papers.co.uk 14/12/05 8:31:51 pm Cat food 18. I buy 12 packets of cat food in a box. The table shows the different varieties in the box. Variety Cod 3 Salmon 3 Trout 3 Tuna (a) Number of packets 3 I am going to take out a packet at random from the box. What is the probability that it will be cod? 1 mark (b) My cat eats all the packets of cod. I am going to take out a packet at random from the ones left in the box. What is the probability that it will be salmon? 1 mark (c) A different type of cat food has 10 packets in a box. The probability that the variety is chicken is 0.7 What is the probability that the variety is not chicken? 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 22 22 http://www.SATs-Papers.co.uk 14/12/05 8:31:52 pm Thinking triangularly 19. Some statements in the table are true. Some are false. Beside each statement, write true or false. For true statements you must draw an example. The ﬁrst one is done for you. Statement Write true or false. If true, draw an example. Some triangles have one right angle and true two acute angles. Some triangles have three right angles. Some triangles have three acute angles. Some triangles have one obtuse angle and two acute angles. Some triangles have two obtuse angles and one acute angle. 3 marks KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 23 23 http://www.SATs-Papers.co.uk 14/12/05 8:31:52 pm Woodpeckers 20. Three different types of woodpecker live in Britain. The pictogram shows information about the numbers of each type. Type A Type B Type C great spotted woodpecker lesser spotted woodpecker green woodpecker represents 10 000 woodpeckers Key: (a) Complete the table below to show the percentages of each type of woodpecker. Type A Type B % Type C % % 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 24 24 http://www.SATs-Papers.co.uk 14/12/05 8:31:53 pm Changing 120 (b) The ratio of type A : type B woodpeckers is 6 : 1 What is the ratio of type B : type C woodpeckers? : 21. 1 mark Write the missing numbers in the boxes. 120mm is the same as cm 1 mark 120cm is the same as m 1 mark 120m is the same as km 1 mark KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 25 25 http://www.SATs-Papers.co.uk 14/12/05 8:31:53 pm Toilet rolls 22. A shop sells toilet rolls. You can buy them in packs of 9 or packs of 6 0 0 .9 ls 9 .5 £3 ls l ro 6 Pack of 9 toilet rolls £3.90 £2 l ro Pack of 6 toilet rolls £2.50 Which pack gives you better value for money? You must show your working. 3 marks KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 26 26 http://www.SATs-Papers.co.uk 14/12/05 8:31:53 pm END OF TEST KS3/06/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 27 27 http://www.SATs-Papers.co.uk 14/12/05 8:31:54 pm © Qualiﬁcations and Curriculum Authority 2006 QCA, Key Stage 3 Team, 83 Piccadilly, London W1J 8QA Sourced from SATs-Papers.co.uk 270030_MaP2_T3-5.indd 28 270030 http://www.SATs-Papers.co.uk 14/12/05 8:31:54 pm