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Mathematics test Ma KEY STAGE 3 Paper 2 Calculator 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 may use a calculator for any question in this test. I You will need: pen, pencil, rubber, ruler, an angle measurer or protractor, a pair of compasses and a calculator. 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/02/835 Sourced from SATs-Papers.co.uk Total marks Borderline check 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 may use a calculator to answer any question in this test. KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 2 http://www.SATs-Papers.co.uk Game 1. Colin and Jenny are playing a game. (a) Colin has four hundred and thirty points. Write this number in figures. 1 mark (b) Jenny has six hundred and nine points. Write this number in figures. 1 mark (c) The winner is the first person to get one thousand points. How many more points does Jenny need to win the game? 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 3 http://www.SATs-Papers.co.uk Travelling to school 2. There are 20 pupils in a class. The chart shows where they live and how they travel to school. The centre of the chart is the school. KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 4 http://www.SATs-Papers.co.uk (a) How many of the pupils travel by bus to school? 1 mark (b) How many of the pupils live more than 2km from the school? 1 mark (c) How many of the pupils live less than 1km from the school? 1 mark (d) A pupil said: I live west of the school and I cycle to school. Which pupil said this? Put a ring around the correct symbol on the chart. 1 mark (e) A different pupil joins the class. She lives south-east of the school. She travels by bus to school. Her house is 3km from the school. Draw the correct symbol on the chart to show where the pupil lives. KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 5 http://www.SATs-Papers.co.uk 2 marks Holiday 3. The tables show how much a week’s holiday costs. May June July Week beginning Cost Week beginning Cost Week beginning Cost 4 May £ 194 1 June £ 304 6 July £ 279 11 May £ 196 8 June £ 219 13 July £ 289 18 May £ 196 15 June £ 234 20 July £ 319 25 May £ 209 22 June £ 259 27 July £ 334 29 June £ 269 (a) The week beginning 29 June costs more than the week beginning 22 June. How much more? £ KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 6 1 mark http://www.SATs-Papers.co.uk (b) A woman pays for the weeks beginning 4 May, 11 May and 18 May. A man pays for the weeks beginning 13 July and 20 July. The man pays more than the woman. How much more? Show your working. £ 3 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 7 http://www.SATs-Papers.co.uk Describing shapes 4. (a) A shape has 4 right angles. It has 4 straight sides. All 4 sides are the same length. Draw what the shape could be. 1 mark (b) A different shape has 4 right angles. It has 4 straight sides. It has 2 pairs of parallel lines. Draw what the shape could be. 1 mark (c) A shape has no right angles. It has 4 straight sides. It has 2 pairs of parallel lines. Draw what the shape could be. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 8 http://www.SATs-Papers.co.uk (d) Look at this shape. Fill in the gaps in the sentences below. The shape has right angles. It has straight sides. It has pairs of parallel lines. sides are the same length. KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 9 2 marks http://www.SATs-Papers.co.uk School trip 5. On a school trip each teacher can take no more than 20 pupils. (a) Three teachers go on a school trip. What is the greatest number of pupils they can take with them? pupils 1 mark (b) The table shows how many pupils go on three school trips. Complete the table to show the least number of teachers that must go with each school trip. Number of pupils Number of teachers 100 104 2 marks 199 KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 10 http://www.SATs-Papers.co.uk Place names 6. Some towns and villages have very long names. The table shows information about the ten longest place names in the UK. Number of letters Country 67 Wales 58 Wales 27 England 22 Wales 21 Wales 21 Wales 19 England 18 England 18 Scotland 17 Scotland (a) The longest place name in Wales has more letters than the longest place name in Scotland. How many more? 1 mark (b) 50% of the ten longest place names are in Wales. What percentage of the ten longest place names are in England? % KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 11 1 mark http://www.SATs-Papers.co.uk Dinner time 7. The diagram shows what pupils in years 7, 8 and 9 choose to do at dinner time. KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 12 http://www.SATs-Papers.co.uk (a) A pupil from each year group is chosen at random. Are they most likely to eat a packed lunch, or eat at home, or eat a school dinner? Tick ( ) the correct boxes. Eat a packed lunch Eat at home Eat a school dinner Pupil from year 7 Pupil from year 8 Pupil from year 9 2 marks (b) How many more pupils are there in year 8 than year 9? Show your working. 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 13 http://www.SATs-Papers.co.uk Which calculation? 8. Here is some information about a school. There are 3 classes in year 8. Each class has 27 pupils. There are 4 classes in year 9. Each class has 25 pupils. (a) Use the information to match each question with the correct calculation. The first one is done for you. Calculation Question 3+4 How many classes are there altogether in years 8 and 9? 3–4 4–3 There are more classes in year 9 than in year 8. How many more? (3 t 27) + (4 t 25) (3 + 27) + (4 + 25) How many pupils are there altogether in years 8 and 9? (3 t 27) – (4 t 25) There are more pupils in year 9 than in year 8. How many more? (4 + 25) – (3 + 27) 1 mark (4 t 25) – (3 t 27) 1 mark 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 14 http://www.SATs-Papers.co.uk (b) Use the information about the school to write what the missing question could be. Calculation Question 4 t 25 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 15 http://www.SATs-Papers.co.uk Throwing coins 9. I throw a fair coin. For each statement below, put a tick ( ) to show if the statement is True or False. (a) On each throw, the probability of getting a head is True 1 2 False Explain your answer. 1 mark (b) On four throws, it is certain that I will get two heads and two tails. True False Explain your answer. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 16 http://www.SATs-Papers.co.uk Folding 10. (a) I have a rectangle made out of paper. The rectangle measures 12cm by 8cm. I want to fold the rectangle in half to make a smaller rectangle. I can do this in two different ways. What size could the smaller rectangle be? Write both ways. first way: cm by cm second way: cm by cm 2 marks (b) I have a square made out of paper. The square measures 20cm by 20cm. I keep folding it in half until I have a rectangle that is 5cm by 10cm. How many times did I fold it? 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 17 http://www.SATs-Papers.co.uk Yards 11. Some people use yards to measure length. The diagram shows one way to change yards to metres. (a) Change 100 yards to metres. metres 1 mark (b) Change 100 metres to yards. Show your working. yards KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 18 http://www.SATs-Papers.co.uk 2 marks Scales 12. A scale measures in grams and in ounces. Use the scale to answer these questions. (a) About how many ounces is 400 grams? ounces 1 mark (b) About how many grams is 8 ounces? grams 1 mark (c) About how many ounces is 1 kilogram? Explain your answer. ounces KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 19 http://www.SATs-Papers.co.uk 2 marks Security lock 13. A door has a security lock. To open the door you must press the correct buttons. The code for the door is one letter followed by a single digit number. For example: B6 (a) How many different codes are there altogether? Show your working. 2 marks (b) I know that the correct code begins with D I press D, then I guess the single digit number. What is the probability that I open the door? 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 20 http://www.SATs-Papers.co.uk Screenwash 14. Screenwash is used to clean car windows. To use Screenwash you mix it with water. (a) In winter, how much water should I mix with 150 ml of Screenwash? ml 1 mark (b) In summer, how much Screenwash should I mix with 450 ml of water? ml 1 mark (c) Is this statement correct? 25% of winter mixture is Screenwash. Tick ( ) Yes or No. Yes No Explain your answer. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 21 http://www.SATs-Papers.co.uk Net 15. (a) I have a paper circle. Then I cut a sector from the circle. It makes this net. Which 3-D shape below could I make with my net? Tick ( ) your answer. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 22 http://www.SATs-Papers.co.uk (b) Here is a sketch of my net. Not drawn accurately Make an accurate drawing of my net. 3 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 23 http://www.SATs-Papers.co.uk Piles of cards 16. A teacher has a large pile of cards. An expression for the total number of cards is 6n + 8 (a) The teacher puts the cards in two piles. The number of cards in the first pile is 2n + 3 Write an expression to show the number of cards in the second pile. 1 mark (b) The teacher puts all the cards together. Then he uses them to make two equal piles. Write an expression to show the number of cards in one of the piles. 1 mark KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 24 http://www.SATs-Papers.co.uk (c) The teacher puts all the cards together again, then he uses them to make two piles. There are 23 cards in the first pile. How many cards are in the second pile? Show your working. 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P2 25 http://www.SATs-Papers.co.uk Cycling 17. Hannah went on a cycling holiday. The table shows how far she cycled each day. Monday Tuesday Wednesday Thursday 32.3 km 38.7 km 43.5 km 45.1 km Hannah says: ‘On average, I cycled over 40 km a day’. Show that Hannah is wrong. 2 marks KS3/02/Ma/Tier from SATs-Papers.co.uk Sourced 3–5/P1 26 http://www.SATs-Papers.co.uk END OF TEST Sourced from SATs-Papers.co.uk http://www.SATs-Papers.co.uk 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 01-8633/3