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Mathematics test Ma KEY STAGE 3 Paper 1 Calculator not allowed TIER 3–5 2002 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. 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 and a ruler. 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/02/834 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. KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 2 http://www.SATs-Papers.co.uk Half 1. How much of each square grid is shaded? Tick ( ) the correct box. The first one is done for you. more than half half less than half more than half half less than half more than half half less than half 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 3 http://www.SATs-Papers.co.uk Robot 2. A robot moves on a square grid. The grid is 4m by 4m. The robot can move north, south, east or west. Example: Grid Directions The robot started at It moved 1m east, then it moved 1m east, then it moved 1m south. (a) Draw lines on the grid below to show where the robot moves this time. Start at Move 1m north, then move 1m west. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 4 http://www.SATs-Papers.co.uk (b) Fill in the missing directions to show how the robot could move from to Start at Move 1m , then move 1m , then move 1m 1 mark (c) Now show a different way the robot could move from to Start at Move 1m , then move 1m , then move 1m 1 mark (d) Fill in the missing directions to show one way the robot could move from then back to Start at Move 1m , then move 1m KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 1 mark 5 http://www.SATs-Papers.co.uk Computation 3. (a) Add together 156 and 417 1 mark (b) Subtract 192 from 638 1 mark (c) Multiply 56 by 3 1 mark (d) Divide 130 by 5 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 6 http://www.SATs-Papers.co.uk Olympic Games 4. The Olympic Games were held in September 2000. The Paralympic Games were held in October 2000. The table shows how many medals the UK won. Gold medal Silver medal Bronze medal Olympics 11 10 7 Paralympics 41 43 47 Altogether, the UK won more medals at the Paralympics than at the Olympics. How many more? Show your working. 3 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 7 http://www.SATs-Papers.co.uk Pictogram key 5. Amy and Ben do a survey together. They each draw a pictogram. Ben shows the same information but uses a different key. Complete Ben’s pictogram. 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 8 http://www.SATs-Papers.co.uk Two steps 6. This question is about making two steps on a number line. For example: (a) Fill in the missing numbers on the number lines below. 1 mark 1 mark (b) On the number line below, both steps are the same size. How big is each step? 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 9 http://www.SATs-Papers.co.uk Calculations 7. A pupil wrote these calculations. Tick ( ) ones that are correct. Cross ( ) ones that are wrong. or 4 + 2 = 2 + 4 4 – 2 = 2 – 4 4 t 2 = 2 t 4 4 ÷ 2 = 2 ÷ 4 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 10 http://www.SATs-Papers.co.uk Areas 8. (a) What is the area of this rectangle? cm2 1 mark (b) I use the rectangle to make four triangles. Each triangle is the same size. What is the area of one of the triangles? cm2 1 mark (c) I use the four triangles to make a trapezium. What is the area of the trapezium? cm2 KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 1 mark 11 http://www.SATs-Papers.co.uk Signs 9. Use +, –, t or ÷ to make each calculation correct. Examples: 2 4 = 7 – 1 5 t 3 = 3 t 5 5 2 = 10 3 12 3 = 3 3 2 1 = 9 3 6 KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 + 6 = 7 7 12 1 mark 1 mark 1 mark 1 mark http://www.SATs-Papers.co.uk Angles 10. Two pupils drew angles on square grids. (a) Which word below describes angle A? Tick ( ) the correct box. acute obtuse right-angled 1 mark reflex (b) Is angle A bigger than angle B? Tick ( ) Yes or No. Yes No Explain your answer. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 13 http://www.SATs-Papers.co.uk Factors 11. There are four different ways to put 6 pupils into equal size groups. 1 group of 6 2 groups of 3 6 pupils 3 groups of 2 6 groups of 1 (a) Show the five different ways to put 16 pupils into equal size groups. group of groups of 16 pupils groups of groups of groups of 2 marks (b) Circle the numbers below that are factors of twelve. 1 2 3 4 5 6 7 8 9 10 11 12 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 14 http://www.SATs-Papers.co.uk Thinking of rules 12. (a) I can think of three different rules to change 6 to 18 Complete these sentences to show what these rules could be. first rule: second rule: third rule: add 1 mark multiply by 1 mark multiply by 2 then 1 mark (b) Now I think of a new rule. The new rule changes 10 to 5 and it changes 8 to 4 Write what the new rule could be. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 15 http://www.SATs-Papers.co.uk Car parking 13. How much does it cost to park for 40 minutes? Show your working. p 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 16 http://www.SATs-Papers.co.uk Heights 14. (a) Peter’s height is 0.9m. Lucy is 0.3m taller than Peter. What is Lucy’s height? m 1 mark (b) Lee’s height is 1.45m. Misha is 0.3m shorter than Lee. What is Misha’s height? m 1 mark (c) Zita’s height is 1.7m. What is Zita’s height in centimetres? cm 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 17 http://www.SATs-Papers.co.uk Spinning 15. (a) A spinner has eight equal sections. What is the probability of scoring 4 on the spinner? 1 mark What is the probability of scoring an even number on the spinner? 1 mark (b) A different spinner has six equal sections and six numbers. On this spinner, the probability of scoring an even number is The probability of scoring 4 is 1 3 2 3 Write what numbers could be on this spinner. 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 18 http://www.SATs-Papers.co.uk Interpreting algebra 16. Look at this table. Age (in years) Ann a Ben b Cindy c Write in words the meaning of each equation below. The first one is done for you. b = 30 Ben is 30 years old a + b = 69 1 mark b = 2c a+b+c 3 KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 1 mark = 28 1 mark 19 http://www.SATs-Papers.co.uk Growing shapes 17. Four squares join together to make a bigger square. (a) Four congruent triangles join together to make a bigger triangle. Draw two more triangles to complete the drawing of the bigger triangle. 1 mark (b) Four congruent trapeziums join to make a bigger trapezium. Draw two more trapeziums to complete the drawing of the bigger trapezium. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 20 http://www.SATs-Papers.co.uk Growing shapes cont, Halfway (c) Four congruent trapeziums join to make a parallelogram. Draw two more trapeziums to complete the drawing of the parallelogram. 1 mark 18. The number 6 is halfway between 4.5 and 7.5 Fill in the missing numbers below. The number 6 is halfway between 2.8 and 1 mark The number 6 is halfway between –12 and KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 21 1 mark http://www.SATs-Papers.co.uk Survey 19. Hakan asked 30 pupils which subject they liked best. Subject Number of boys Number of girls Maths 4 7 English 2 4 Science 3 3 History 0 1 French 1 5 total 10 total 20 (a) Which subject did 20% of boys choose? 1 mark (b) Which subject did 35% of girls choose? 1 mark (c) Hakan said: ‘In my survey, Science was equally popular with boys and girls’. Explain why Hakan was wrong. 1 mark (d) Which subject was equally popular with boys and girls? 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 22 http://www.SATs-Papers.co.uk Solving 20. (a) When x = 5, work out the values of the expressions below. 2 x + 13 = 5x – 5 = 3 + 6x = 2 marks (b) When 2y + 11 = 17, work out the value of y Show your working. y = KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 23 2 marks http://www.SATs-Papers.co.uk END OF TEST Sourced from SATs-Papers.co.uk © Qualifications and Curriculum Authority 2002 QCA, Key Stage 3 Team, 83 Piccadilly, London W1J 8QA http://www.SATs-Papers.co.uk 01-8633/2