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07_p1FINAL.qxd 04/02/2004 14:37 Page 1 Ma Year 7 mathematics test YEAR Paper 1 7 4–6 1 LEVELS Calculator not 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 must not use a calculator for any question in this test. You will need: pen, pencil, rubber, ruler and tracing paper (optional). 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 07_p1FINAL.qxd 04/02/2004 14:37 Page 2 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. 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/P1 Sourced from SATs-Papers.co.uk 2 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 3 Ancient Egyptians 1 The ancient Egyptians used pictures to show numbers. The table gives some of these pictures. Number Picture one ten one hundred one thousand Write in figures the number that each picture below is showing. The first one is done for you. 12 1 mark 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 3 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 4 Trapezium 2 The grids in this question are centimetre square grids. (a) What is the area of this shaded rectangle? cm2 1 mark (b) What is the area of this shaded triangle? cm2 1 mark (c) What is the area of this shaded trapezium? cm2 Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 1 mark 4 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 5 Number line, Using 1, 3, 5 and 7 3 The number line below goes up in equal steps. Fill in the missing numbers. 3 7 11 15 2 marks 4 Look at these four digit cards. 1 3 5 7 Use the four digit cards to make the answer to the calculation as small as possible. + 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 5 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 6 Coffee 5 People in some countries drink a lot of coffee. The chart shows how much coffee a person drinks each day, on average. Finland Austria Germany Belgium USA UK 0 1 2 3 4 5 Number of cups drunk each day, on average (a) In which country does a person drink about 1.9 cups each day, on average? 1 mark (b) In Austria, a person drinks 3.2 cups each day, on average. Complete the chart to show this information. Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 6 1 mark http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 7 Chick 6 (a) Look at the scales. What is the mass of the chick? mass grams grams 1 mark 0 50 100 150 200 250 (b) The diagram below shows the same chick on different scales. Draw an arrow to show the mass of the chick. 0 20 mass 200 40 60 180 160 140 Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 80 grams 120 7 100 1 mark http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 8 Pantomime 7 Here is the cost of tickets to see a pantomime. Adults £ 3.50 Children £ 2.50 (a) How many tickets for adults can you buy with £35? 1 mark (b) How many tickets for children can you buy with £20? 1 mark (c) On Monday tickets are half price. On Monday, how much does it cost altogether for one adult and one child? £ Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 8 1 mark http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 9 Double scale 8 The scale shows both percentages and decimals. 0% 20% 40% 60% 80% 0 0.2 0.4 0.6 0.8 100% 1 Fill in the missing decimals in the gaps below. The first one is done for you. 60% is the same as 0.6 30% is the same as 1 mark 3% is the same as Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 1 mark 9 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 10 Finding values 9 When x = 3, what is the value of x + 1? 1 mark When y = 10, what is the value of 2 y? 1 mark Kevin says: When x = 3 and y = 10, the value of 2y x + 1 is 5 Is Kevin correct? Tick ( ) Yes or No. Yes No Explain your answer. 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 10 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 11 Decimals 10 Fill in the missing numbers. 2 Sourced from SATs-Papers.co.uk = 12.4 2 Y7/Ma/Levels 4–6/P1 × × = 12.5 11 1 mark 1 mark http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 12 Money 11 (a) Work out 3 of £8 4 £ (b) Work out 1 mark 3 of £10 5 £ 1 mark (c) Is 2 1 of £15 the same amount as of £30? 3 3 Tick ( ) Yes or No. Yes No Explain how you know. 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 12 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 13 Remainder 12 999 will divide exactly by 37 There is no remainder. (a) Write down the remainder when 1000 is divided by 37 1 mark (b) Write down the remainder when 998 is divided by 37 1 mark (c) Write down a multiple of 37 that is bigger than 1000 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 13 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 14 Perimeters 13 An expression for the perimeter of this shape is shown below. perimeter = 2a + 9 Write an expression for the perimeter of each of these shapes. Write each expression in its simplest form. perimeter = 1 mark perimeter = 1 mark perimeter = Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 14 1 mark http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 15 Multiplying by 25 14 (a) Fill in the missing number. × 25 is the same as ÷ × 100 1 mark (b) Work out 216 × 25 2 marks Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 15 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 16 Rotating 15 Look at the shape drawn on the square grid. C On the grid, draw a 180° rotation of the shape, using point C as the centre of rotation. 2 marks Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 16 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 17 Finding percentages 16 Draw lines to match the boxes. The first one is done for you. To find 50% of a number ... divide the number by 10 To find 10% of a number ... divide the number by 2 To find 20% of a number ... divide the number by 20 To find 5% of a number ... divide the number by 100 To find 1% of a number ... divide the number by 5 2 marks Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 17 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 18 Probability 17 Fill in the gap and tick ( ) one correct box for each statement below. The smallest value a probability can be is This probability is used for events that are: certain likely even chance unlikely impossible 1 mark The biggest value a probability can be is This probability is used for events that are: certain likely even chance unlikely impossible 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 18 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 19 Alice’s bath 18 Alice starts to have a bath. The simplified graph shows the depth of water in the bath. D B Depth of water C A Time Each line on the graph is labelled with a letter. Match each letter to the correct description below. A The cold tap is off. The hot tap is off. B Alice gets in the bath. C The cold tap is off. The hot tap is full on. D The cold tap is full on. The hot tap is full on. 2 marks Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 19 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 20 Quadrilaterals 19 (a) On the square grid below, draw a quadrilateral that has exactly two right angles and exactly two equal sides. 1 mark (b) Now draw a quadrilateral that has exactly one right angle and exactly two equal sides. 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 20 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 21 Equations 20 (a) Fill in the missing number to make the equation correct. When k = 5, 4k + = 3k + 15 1 mark (b) What is the value of k in this equation? 7k – 3 = 5k + 2 k = Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 21 2 marks http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 22 Counters 21 Alisha has some coloured counters in a bag. She is going to take a counter at random from the bag. The table shows the probability of taking a red, blue, green or yellow counter. Colour Probability Red 1 2 Blue 1 4 Green 1 8 Yellow 1 8 (a) Explain how you know that all the counters in the bag are either red, blue, green or yellow. 1 mark (b) Alisha says: ‘The total number of counters in the bag is 30’ Explain why Alisha cannot be correct. 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 22 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 23 Fractions 22 (a) Match each calculation with the correct fraction answer. The first one is done for you. 1 +2 5 5 13 20 3 +1 8 8 3 5 2 +1 5 4 1 2 7 3 – 8 4 1 6 1 1 – 2 3 1 8 2 marks (b) Work out 1 +1 2 3 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 23 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 24 Lettuce seeds 23 Alan lives in Portsmouth. He grows lettuces from seeds. The earliest he should plant lettuce seeds is in March. In the UK, the north is colder than the south, so people who live in the north should plant their seeds later. The graph shows when to plant lettuce seeds. 7 6 5 Key: Number of 4 weeks after March 1st 3 Not in a greenhouse In a greenhouse 2 1 0 0 200 400 600 800 1000 Number of km north of Portsmouth (a) Liam lives 400km north of Portsmouth. He has a greenhouse. What is the earliest date he should plant lettuce seeds in his greenhouse? 1 mark (b) Jill lives 800km north of Portsmouth. She does not have a greenhouse. What is the earliest date she should plant lettuce seeds? 2 marks Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 24 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 25 Parallel lines 24 In this diagram the two parallel lines are marked with arrows. Not drawn accurately Work out the value of y y= Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 25 2 marks http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 26 Using equations, Sixteenths 25 Look at this equation. 2x + 1 = y Use it to complete the equations below that involve both x and y 2x + 1 = y 1 mark 12 x + 6 = 26 = 10 y 1 mark 15 as a decimal is 0.9375 16 What is 31 as a decimal? 16 1 mark Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 26 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 Page 27 END OF TEST Y7/Ma/Levels 4–6/P1 Sourced from SATs-Papers.co.uk 27 http://www.SATs-Papers.co.uk 07_p1FINAL.qxd 04/02/2004 14:37 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/04/1154 (pupil pack) QCA/04/1152 (teacher pack) http://www.SATs-Papers.co.uk