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A2_5PP_0801.qxd 22/01/2004 15:39 Page 1 Ma Year 7 mathematics test YEAR Paper 2 7 4–6 2 LEVELS Calculator allowed PAPER Please read this page, but do not open your booklet until your teacher tells you to start. Write your details in the spaces below. First name Last name Class Date 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, angle measurer or protractor and a calculator. 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 marking use only Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 2 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. Formulae You might need to use these formulae. Trapezium Area = 1 (a + b)h 2 Prism Volume = area of cross-section × length Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 2 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 3 Phones 1 Five friends have mobile phones. The diagram shows information about their phones. Phones with games Phones that can be used in America Amy Kiki Tariq Zoe Harry Use the information in the diagram to complete this table. Person’s name Phones with games Phones that can be used in America Amy Harry Kiki Tariq Zoe 2 marks Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 3 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 4 Four cubes 2 Sonal has four small cubes. She joins them together to make a shape. Isometric grid Then Sonal makes a different shape with her four small cubes. What shape could Sonal have made? Draw this different shape on the isometric grid below. 2 marks Isometric grid Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 4 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 5 Doctor 3 On one day a doctor saw 20 people altogether. 12 of the 20 people were male. 10 of the 12 males were adults. The doctor saw 3 female children. Fill in the table to show this information. Male Female Adult Child 2 marks Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 5 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 6 Sequence 4 A sequence of numbers starts at the number 12 The numbers increase by 4 each time. 12 16 20 24 28 … The sequence keeps going forever. (a) Will the number 39 be in the sequence? Tick ( ) Yes or No. Yes No Explain your answer. 1 mark (b) Will the number 100 be in the sequence? Tick ( ) Yes or No. Yes No Explain your answer. 1 mark Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 6 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 7 Cans of drink 5 As part of ‘Census At School’, pupils answered this question: How many cans of drink have you had in the last two days? The chart shows the results for boys and for girls. 35 Key: 30 girls 25 boys Frequency 20 (thousands) 15 10 5 0 None 1 or 2 3 or 4 5 or 6 7 or more Number of cans (a) About 15 thousand boys said ‘None’. About how many girls said ‘None’? thousand 1 mark (b) Altogether, about how many pupils answered the question? thousand Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 7 Source: CensusAtSchool http://www.SATs-Papers.co.uk 1 mark A2_5PP_0801.qxd 22/01/2004 15:39 Page 8 Half and one, American dollars 6 Write two different fractions that are greater than 1 but less than 1 2 and 2 marks 7 £1 = 1.56 dollars How much is £1.50 in dollars? dollars 1 mark Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 8 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 9 Units 8 (a) Fill in the gaps using units of length. The first one is done for you. There are 10 mm in one There are 100 in one There are 1000 cm in one 1 mark 1 mark (b) Fill in the gaps using units of mass. There are 1000 Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk in one 9 1 mark http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 10 Square tiles 9 Mary and David have square tiles like this: They arrange the tiles to make bigger squares. Example: 9 tiles can make a 3 by 3 square. (a) Mary arranges 25 tiles to make one square. Complete the sentence below. 25 tiles can make a by square. 1 mark (b) David arranges 25 tiles to make two squares. His two squares are not the same size. What are the sizes of David’s squares? First square: Second square: Y7/Ma/Levels 4–6/P2 by by Sourced from SATs-Papers.co.uk 10 2 marks http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 11 Equal steps 10 The numbers on these number lines go up in equal steps. Fill in the missing numbers. The first number line is done for you. 280 300 320 340 26 8 1 mark 9 –12 1 mark Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 11 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:39 Page 12 Making shapes 11 I have some triangular tiles like this: 5 cm 4 cm Not drawn accurately 3 cm I use two of these tiles to make different shapes. For each shape, work out its perimeter. The perimeter of the rectangle is: cm 1 mark The perimeter of the isosceles triangle is: cm 1 mark The perimeter of the quadrilateral is: cm Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 12 http://www.SATs-Papers.co.uk 1 mark A2_5PP_0801.qxd 22/01/2004 15:39 Page 13 Missing angle 12 Work out the size of angle y 63˚ 73˚ Not drawn accurately 83˚ y= Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 13 ° 2 marks http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 14 Solving, Walk 13 Solve these equations. 3 a + 2 = 14 a = b+1 2 1 mark = 5 b = 14 1 mark I went for a 5 mile walk. About how many kilometres did I walk? Ring the best answer below. 2 Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 4 6 14 8 10 http://www.SATs-Papers.co.uk 1 mark A2_5PP_0801.qxd 22/01/2004 15:40 Page 15 Probability scale 15 The fair spinner has 5 equal sections. I am going to spin the pointer. 6 2 5 3 4 For each statement below, show the probability by drawing an arrow ( ) on the probability scale. The first one is done for you. The pointer will show the number 10 0 1 The pointer will show the number 3 1 mark 0 1 The pointer will show an even number. 1 mark 0 Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 1 15 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 16 Drawing triangles 16 (a) Tina measures the angles in a triangle. The sketch shows her results. Not drawn accurately How can you tell that Tina has made a mistake? 1 mark (b) Draw a triangle with one angle of 35° and one angle of 45° Use the line below as one side of the triangle, and draw the triangle accurately. 2 marks Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 16 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 17 Mean 17 (a) Look at these three number cards. 8 5 8 Show that the mean is 7 1 mark (b) Now look at these number cards. You cannot see the number on one of the cards. 6 5 4 ? The mean is 6 What is the missing number? 2 marks Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 17 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 18 Drawing graphs 18 (a) Look at the graph. 6 5 4 A 3 2 1 0 0 1 2 3 4 5 6 The x-coordinate of A is 2 What is the y-coordinate of A? 1 mark (b) On the graph below, mark two points that have an x-coordinate of 4 6 5 4 3 2 1 0 1 mark 0 Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 1 2 18 3 4 5 6 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 19 (c) On the graph below, show with a straight line all the points that have an x-coordinate of 4 6 5 4 3 2 1 0 1 mark 0 1 2 3 4 5 6 5 6 (d) On the graph below, draw the line y = 1 6 5 4 3 2 1 0 1 mark 0 Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 1 2 19 3 4 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 20 Coinage 19 This graph shows the diameters and masses of some coins. 12 10 £1 50p 8 2p Mass (g) 10p 6 20p 4 5p 1p 2 0 18 20 22 24 26 28 30 Diameter (mm) (a) One of the coins that is heavier than the 10p coin has a lower value. Which coin is this? 1 mark (b) What is the value of the coin that has a mass of 6.5g? 1 mark (c) The £2 coin has a diameter of 28.4mm and has a mass of 12g. On the graph, put a cross to represent the £2 coin. Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 20 1 mark http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 21 Volume 20 (a) The diagram shows a cuboid. 6 cm Not drawn accurately 10 cm 10 cm What is the volume of this cuboid? 1 mark 1 mark (b) The volume of a different cuboid is half the volume of the cuboid in part (a). What could the dimensions of this different cuboid be? cm by Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 21 cm by cm http://www.SATs-Papers.co.uk 1 mark A2_5PP_0801.qxd 22/01/2004 15:40 Page 22 Quiz, Pi 21 In a quiz, Ravi answered 24 out of 40 questions correctly. What percentage of the questions did he answer correctly? % 22 Four thousand years ago people thought the value of was 1 mark 16 2 9 ( ) 16 2 ( ) as a decimal correct to 2 decimal places. (a) Write 9 1 mark (b) Now write the real value of correct to 2 decimal places. 1 mark Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 22 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 23 Sixes 23 Dan and Evie each threw a six-sided dice. The table shows how many sixes they threw. Dan Evie Total number of throws 45 60 Number of sixes 9 11 Who had the greater proportion of sixes? Tick ( ) Dan or Evie. Dan Evie You must show your working. 2 marks Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 23 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 24 x and y 24 (a) Look at this information. x + y = 10 Use it to find the value of this expression. ( x + y )2 = 1 mark (b) Look at this information. x + y = 10 x>y x<7 What values could x and y be? Write one pair. x= Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 24 y= 1 mark http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 25 Cutting a cake 25 Ben is 10 years old. Cindy is 15 years old. Tom is 20 years old. They are going to cut a cake into 3 slices from the centre. The size of the slices will be proportional to their ages. What will the angle at the centre of Ben’s slice be? ° 2 marks Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 25 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 26 Bags, CD 26 Joe has three bags of counters. The diagram shows expressions for the number of counters in each bag. Look at these equations. a = b + 10 b = c + 5 Write an equation to show the relationship between a and c 1 mark 27 The diameter of a CD is 12cm. What is the circumference of the CD? Give your answer to one decimal place. 12 cm 2 marks 1 mark Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 26 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 27 END OF TEST Y7/Ma/Levels 4–6/P2 Sourced from SATs-Papers.co.uk 27 http://www.SATs-Papers.co.uk A2_5PP_0801.qxd 22/01/2004 15:40 Page 28 © Qualifications and Curriculum Authority 2004 QCA, Years 7 and 8 Team, 83 Piccadilly, London W1J 8QA Sourced from SATs-Papers.co.uk Order refs: QCA/04/1155 (pupil pack) QCA/04/1152 (teacher pack) http://www.SATs-Papers.co.uk