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Ma Mathematics test KEY STAGE 3 TIER Paper 2 3–5 Calculator allowed First name Last name 2007 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 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 1 Borderline check http://www.SATs-Papers.co.uk 15/11/06 8:18:55 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. KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 2 2 http://www.SATs-Papers.co.uk 15/11/06 8:18:55 pm Rules 1. Each rule below makes a sequence. Use the rule to write the next two numbers for each sequence. Rule: Add 3 to the last number 2 5 8 1 mark Rule: Double the last number then add 1 2 5 11 1 mark Rule: Multiply the last number by 3 then subtract 1 2 5 14 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 3 3 http://www.SATs-Papers.co.uk 15/11/06 8:18:55 pm Homework 2. The table shows when Julie has to hand in homework for different subjects. Mon Tue Wed Thu Fri Maths English Science French Technology Art Music (a) On what days does Julie have to hand in French homework? and 1 mark (b) On Thursdays, Julie has to hand in homework for three subjects. What subjects are these? , and 1 mark (c) On Tuesday, the Art teacher gives Julie her homework. How many nights are there before she has to hand in her Art homework? 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 4 4 http://www.SATs-Papers.co.uk 15/11/06 8:18:56 pm Odd one out 3. Look at these ﬁve shapes. A B C D E Square grid (a) Complete the sentences below. The first one is done for you. Shape A Shape is the only shape with three sides. is the only shape with no right angles. 1 mark Shape is the only shape with no lines of symmetry. 1 mark (b) Now complete this sentence. Shape B is the only shape with four 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 5 5 http://www.SATs-Papers.co.uk 15/11/06 8:18:56 pm Hibernation 4. Hedgehogs and dormice are small animals that sleep through the winter. The shaded parts of the chart show when they sleep. Dec Jan Nov Feb Key: Oct Mar Sep Apr Aug Hedgehogs Dormice May Jul Jun Use the chart to answer these questions. (a) Hedgehogs go to sleep in the middle of November. For how many months do they sleep? months 1 mark (b) Look at this statement. Dormice sleep for more than half of the year. Is the statement true? Yes No Explain your answer. 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 6 6 http://www.SATs-Papers.co.uk 15/11/06 8:18:56 pm Concert 5. Here are the costs of tickets for a concert. Concert tickets Adults: Children: (a) £24.50 each £16.45 each Two adults go to the concert with three children. Altogether, how much do their tickets cost? £ 1 mark (b) Three adults go to the concert with some children. Altogether, their tickets cost £155.75 How many children went to the concert with the three adults? 2 marks KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 7 7 http://www.SATs-Papers.co.uk 15/11/06 8:18:57 pm Cake 6. Anna is making a cake. (a) The scale shows how much sugar she uses. How much sugar does Anna use? 200 300 100 400 0 500 grams g 1 mark (b) Anna uses 275g of raisins. Draw the arrow on the scale to show 275g. 200 300 100 400 0 500 1 mark grams KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 8 8 http://www.SATs-Papers.co.uk 15/11/06 8:18:57 pm (c) Anna put the cake in the oven at 11am. She took the cake out of the oven after 3 hours. At what time did she take the cake out of the oven? 1 mark (d) Look at this diagram of the cake tin. Tick ( ) the correct name for the shape of the tin. Cube Cuboid Pyramid Cylinder Cone 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 9 9 http://www.SATs-Papers.co.uk 15/11/06 8:18:57 pm Bar chart 7. The table shows some information about items sold in a school shop. Name of item Number of items sold Glue 8 Pens 22 Rulers 14 The bar chart below shows the same information. Write the missing information in the spaces around the chart. Number of items sold 0 2 marks Name of item KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 10 10 http://www.SATs-Papers.co.uk 15/11/06 8:18:58 pm Coordinates 8. Look at the graph. y 8 7 A 6 5 4 3 C 2 B (2, 2) 1 0 0 (a) 1 2 3 4 5 6 7 8 x Write down the coordinates of points A and C. A is ( , ) 1 mark C is (b) ( , ) 1 mark Point D can be marked so that ABCD is a rectangle. Mark point D accurately on the graph. 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 11 11 http://www.SATs-Papers.co.uk 15/11/06 8:18:58 pm Fitting tiles 9. (a) The diagram shows how two congruent ‘F-tiles’ fit together to make a rectangle. Show how the two congruent ‘F-tiles’ can fit together to make this shape. 1 mark (b) Two other tiles fit together to make a different shape. The two tiles are congruent but they are not ‘F-tiles’. What shape could the tiles be? Show them on the diagram. 1 mark What other shape could the tiles be? Show them on the diagram. 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 12 12 http://www.SATs-Papers.co.uk 15/11/06 8:18:58 pm Names 10. These are the names of the twelve people who work for a company. Ali Kiki Suki Brian Claire Lucy Tom Claire (a) Claire James Ryan Tom What name is the mode? 1 mark (b) One person leaves the company. A different person joins the company. Now the name that is the mode is Tom. Write the missing names in the sentences below. The name of the person who leaves is The name of the person who joins is 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 13 13 http://www.SATs-Papers.co.uk 15/11/06 8:18:58 pm Leaves 11. The scale drawing shows three leaves from different trees. The drawing on the right shows the leaves drawn on top of each other. Oak (a) Beech Willow Compare the areas of the leaves. Write the leaves in order, smallest area ﬁrst. 1 mark smallest area (b) largest area Now compare the perimeters of the leaves. Write the leaves in order, smallest perimeter ﬁrst. 1 mark smallest perimeter KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 14 largest perimeter 14 http://www.SATs-Papers.co.uk 15/11/06 8:18:59 pm Marbles 12. Here is information about some bags of marbles. Altogether, there are 10 bags. Each bag contains 12 marbles. Each marble weighs 7 grams. Use the information to match each question with the correct calculation. The first one is done for you. Question Calculation 10 How many bags are there altogether? 10 × 7 How many marbles are there altogether? 10 × 12 12 × 7 How much does each bag of marbles weigh? 10 × 12 × 7 How much do all 10 bags of marbles weigh altogether? KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 15 10 + 12 + 7 15 2 marks http://www.SATs-Papers.co.uk 15/11/06 8:18:59 pm a and b 13. Look at this equation. 4 + a = b Write a pair of numbers for a and b to make the equation true. a= b= 1 mark Now write a different pair of numbers for a and b to make the equation true. a= b= 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 16 16 http://www.SATs-Papers.co.uk 15/11/06 8:18:59 pm Turning, Party 14. Here is a shape. I turn the shape through 45° clockwise. Tick ( ) the diagram that shows the shape after the turn. 1 mark 15. Leena buys balloons, hats and masks for a party. Write the missing numbers in the table. Cost of each (£) Number bought Packets of balloons 4.95 5 Hats Total cost (£) 3.20 41.60 Masks 10 19.50 Total: 2 marks KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 17 17 http://www.SATs-Papers.co.uk 15/11/06 8:18:59 pm Survey 16. Carlos and Mary each did a survey. (a) Carlos asked people: ‘Have you ever been to North America?’ The percentage bar chart shows his results. No 0% 20% Yes 60% 40% 80% 100% 40 people said No. How many people said Yes? people 1 mark (b) Mary asked 10 people: Results: ‘Would you like to go to South America?’ 5 of the 10 people said ‘No’. 4 of the 10 people said ‘Don’t know’. 1 of the 10 people said ‘Yes’. Complete the percentage bar chart to show these results. 0% KS3/07/Ma/Tier 3–5/P2 20% Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 18 40% 60% 18 80% 100% 2 marks http://www.SATs-Papers.co.uk 15/11/06 8:19:00 pm Frog spawn 17. The graph shows the date each year that frogs’ eggs were ﬁrst seen. 28th Feb 21st Feb 14th Feb Date eggs first seen 7th Feb 31st Jan 24th Jan 87 88 89 90 91 92 93 94 95 96 97 98 99 Year (a) On what date in 1997 were frogs’ eggs ﬁrst seen? 1 mark (b) At the beginning of each year, the warmer the weather, the earlier frogs’ eggs are ﬁrst seen. What can you say about the weather at the beginning of 1991? 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 19 19 Source: British Wildlife, August 2000 http://www.SATs-Papers.co.uk 15/11/06 8:19:00 pm Simplifying 18. (a) Here is an expression. 2a + 3 + 2a Which expression below shows it written as simply as possible? Put a ring round the correct one. 7a 7+a 4a + 3 2a + 5 4( a + 3) 1 mark (b) Here is a different expression. 3b + 4 + 5b – 1 Write this expression as simply as possible. 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 20 20 http://www.SATs-Papers.co.uk 15/11/06 8:19:00 pm Containers, Triangles 19. Here are two containers and the amounts they hold. B A Not drawn accurately 750 millilitres 0.5 litre Which container holds the greater amount? A B How much more does it hold? Give your answer in millilitres. millilitres 1 mark 20. (a) A triangle has three equal sides. Write the sizes of the angles in this triangle. ° , ° , ° 1 mark (b) A right-angled triangle has two equal sides. Write the sizes of the angles in this triangle. ° , ° , ° 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 21 21 http://www.SATs-Papers.co.uk 15/11/06 8:19:00 pm Spinners 21. The diagram shows ﬁve fair spinners with grey and white sectors. Each spinner is divided into equal sectors. A B C D E I am going to spin all the pointers. (a) For one of the spinners, the probability of spinning grey is 3 4 Which spinner is this? Write its letter. 1 mark (b) For two of the spinners, the probability of spinning grey is more than 60% but less than 70% Which two spinners are these? Write their letters. and 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 22 22 http://www.SATs-Papers.co.uk 15/11/06 8:19:01 pm Faces 22. (a) Look at the drawing of a prism on the grid. Isometric grid How many faces does the prism have? 1 mark (b) Use the grid below to draw a solid with 6 faces. 1 mark Isometric grid KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 23 23 http://www.SATs-Papers.co.uk 15/11/06 8:19:01 pm Fir trees 23. The graph shows the average heights of ﬁr trees of different ages. 2.5 2 1.5 Height (metres) 1 0.5 0 2 3 4 Age (years) 5 6 The table shows the cost of ﬁr trees of different heights. 120cm to 159cm 160cm to 199cm 200cm to 239 cm £20.00 £25.00 £30.00 Cost (a) 1 years old. 2 How much is it likely to cost? One of these ﬁr trees is 5 £ 1 mark (b) One of these ﬁr trees costs £25.00 How old is the tree likely to be? Between and years old 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 24 24 http://www.SATs-Papers.co.uk 15/11/06 8:19:01 pm Rectangles and squares 24. Here is a rectangle. 8cm Not drawn accurately 2cm (a) A square has the same area as this rectangle. What is the side length of this square? cm 1 mark (b) A different square has the same perimeter as this rectangle. What is the side length of this square? cm 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 25 25 http://www.SATs-Papers.co.uk 15/11/06 8:19:02 pm Lemonade 25. Kate buys 24 cans of lemonade. She buys the cans in packs of 4 Each pack costs £ 1.20 Pack of 4 Cost £1.20 Steve buys 24 cans of lemonade. He buys the cans in packs of 6 Each pack costs £1.60 Pack of 6 Cost £1.60 Kate pays more for her 24 cans than Steve pays for his 24 cans. How much more? p 2 marks KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 26 26 http://www.SATs-Papers.co.uk 15/11/06 8:19:02 pm Three angles, Solving 26. Three shapes ﬁt together at point B. 93° A 24° Not drawn accurately 61° B C Will ABC make a straight line? Yes No Explain your answer. 1 mark 27. Solve these equations. 32x + 53 = 501 x = 1 mark 375 = 37 + 26y y = 1 mark KS3/07/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk KS3_p2_T3-5 275661.indd 27 27 http://www.SATs-Papers.co.uk 15/11/06 8:19:02 pm END OF TEST Sourced from and Curriculum © Qualifications SATs-Papers.co.uk Authority 2007 KS3_p2_T3-5 275661.indd 28 QCA/06/2780 (Pupil pack) http://www.SATs-Papers.co.uk 275661 QCA/06/2778 (Mark scheme pack) 15/11/06 8:19:03 pm