We have almost every SATs paper within our archives including KS1 *Money Problems* and many other KS1, KS2 and KS3 SATs papers and worksheets. SATs papers are fantastic practise tools, especially for literacy, problem solving and maths. Alternative sources for study include the Bitesize resources and Revisewise for more SATs practice, SATs revision and SATs preparation!

Ma Mathematics test KEY STAGE 3 TIER Paper 2 5–7 Calculator allowed First name Last name 2009 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 (optional) and a scientiﬁc or graphic 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. 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 may use a calculator to answer any question in this test. Formulae You might need to use these formulae Trapezium b Area = 1 (a + b)h 2 height (h) a Prism length area of cross-section Volume = area of cross-section × length KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 2 http://www.SATs-Papers.co.uk Units 1. Complete the table to show what the units measure. The ﬁrst row is done for you. Length Area Volume Mass Centimetres Litres Miles Grams Square metres Ounces 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 3 http://www.SATs-Papers.co.uk Rainforest 2. The charts show information about a rainforest. 450 400 350 300 Average rainfall (mm) 250 200 150 100 50 0 J F M A M J J A S O N D A S O N D Month 30 28 26 Average temperature 24 (°C) 22 20 0 J F M A M J J Month KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 4 http://www.SATs-Papers.co.uk Use the charts to answer these questions. (a) In the month that has the lowest average rainfall, what is the average temperature? °C 1 mark (b) In the month that has the highest average temperature, what is the average rainfall? mm 1 mark (c) Sanjay has decided to visit the rainforest. He does not like high temperatures and does not like high rainfall. In which month do you think Sanjay should visit? Put a ring round the correct month below. January March October April December 1 mark KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 5 http://www.SATs-Papers.co.uk Doughnuts 3. Here are the prices of doughnuts at two different shops. Shop A Shop B 3 doughnuts for £2 5 doughnuts for £3.50 I want to buy 15 doughnuts. In which shop are the doughnuts cheaper? You must show your working. Tick ( ) your answer. Shop A Shop B 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 6 http://www.SATs-Papers.co.uk Stopping distances 4. The table shows the stopping distances for a car at different speeds. Speed 20mph 12 metres 40mph 36 metres 60mph (a) Stopping distance 72 metres Look at the square grid below. It shows the bar for the stopping distance at 20mph. Use the same scale to draw the bar for the stopping distance at 40mph. 20mph 40mph 1 mark Stopping distance (b) The bar for the stopping distance at 60mph will not ﬁt on the grid. How many squares long should the bar be? 1 mark KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 7 http://www.SATs-Papers.co.uk Rotate 180 5. Here is a shaded shape drawn on a square grid. Rotate the shape 180° about point A. Draw the shape in its new position on the grid. A 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 8 http://www.SATs-Papers.co.uk Value 6. Use a = 7 and b = 28 to work out the value of these expressions. The first one is done for you. 35 a + b = ab = 1 mark b = a 1 mark ( a + b )2 = 1 mark KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 9 http://www.SATs-Papers.co.uk 12 cubes 7. Look at the cuboid drawn on the grid. It is made from 12 cubes. Isometric grid On the grid below, draw a different cuboid made from 12 cubes. 2 marks Isometric grid KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 10 http://www.SATs-Papers.co.uk Cost of delivery 8. The graph shows how much a company charges to deliver parcels. 12 11 10 9 8 7 Cost (£) 6 5 4 3 2 1 0 0 5 10 15 20 25 30 35 40 Mass of parcel (kg) (a) Use the graph to complete the sentences below. The company charges exactly £ for parcels up to kg. 1 mark Then for each extra kilogram the company charges another . 1 mark (b) Altogether, how much would the company charge to deliver two parcels, one of 15kg and one of 37kg? £ 1 mark KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 11 http://www.SATs-Papers.co.uk Shape area 9. The diagram below shows a trapezium and an equilateral triangle. a b Isometric grid The trapezium has area a The triangle has area b (a) On the grid below, draw a shape with area a + 2b 1 mark Isometric grid (b) On the grid below, draw a shape with area a – b 1 mark Isometric grid KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 12 http://www.SATs-Papers.co.uk Midpoints 10. The diagram shows a right-angled triangle. y ( 30, 70 ) P Not drawn accurately R 0 0 Q x ( 54, 0 ) P, Q and R are the midpoints of the sides of the triangle. Work out the coordinates of P, Q and R. P is Q is R is KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk ( , ) ( , ( , ) ) 13 http://www.SATs-Papers.co.uk 1 mark 1 mark 1 mark Rainfall 11. The table shows information about the rainfall in two places in South America. Place Season Mean rainfall Number of months Months Dry 10cm per month 8 Jan to Aug Wet 20cm per month 4 Sept to Dec Dry 5cm per month 10 July to Apr Wet 50cm per month 2 A B May to June Which of the places has more rainfall on average over the whole year? Show working to explain your answer. Tick ( ) your answer. A B 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 14 http://www.SATs-Papers.co.uk Thinking distances 12. The distance needed for a car to stop depends on how fast the car is travelling. This distance can be calculated by adding the thinking distance and the braking distance. For example: at 30 miles per hour 30 feet 45 feet 75 feet + thinking distance = braking distance total stopping distance Here are the formulae to work out the thinking distance and the braking distance for a car travelling at V miles per hour. Thinking distance = V feet (a) Braking distance = V2 20 feet A car is travelling at 70 miles per hour. What is the total stopping distance for this car? feet 2 marks (b) A different car is travelling so that its braking distance is 125 feet. How fast is the car travelling? miles per hour 1 mark KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 15 http://www.SATs-Papers.co.uk Two shapes, Recycling 13. Shape A and shape B are each made from ﬁve identical squares. Not drawn accurately A B The perimeter of shape A is 72cm. Work out the perimeter of shape B. cm 2 marks 14. In one year, 2 million tonnes of glass bottles and jars were thrown away in the UK. 38% of these bottles and jars were recycled. How many tonnes of the bottles and jars were recycled? tonnes 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 16 http://www.SATs-Papers.co.uk Shapes on a grid 15. (a) Look at the equilateral triangle. Each angle in an equilateral triangle is 60° 60° Explain why. 60° 60° Isometric grid 1 mark (b) Now look at this shape. Work out the sizes of angles a, b and c a c b Isometric grid a= ° b= ° c= ° 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 17 http://www.SATs-Papers.co.uk Five bags 16. A teacher has ﬁve bags containing only red and blue counters. The table shows how many red and blue counters are in each bag. Bag A B C D E Red counters 6 6 6 6 6 Blue counters 6 5 4 3 2 The teacher is going to take a counter at random from each bag. Match each bag with the correct probability of taking a blue counter below. The ﬁrst one is done for you. Probability of taking a blue counter Bag A 1 4 B 1 3 C 1 2 D 5 11 E 2 5 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 18 http://www.SATs-Papers.co.uk Bicycles 17. In a survey, pupils were asked if they owned a bicycle. Results: 3 of the pupils said ‘Yes’. 8 5 of the pupils said ‘No’. 8 46 more pupils said ‘No’ than said ‘Yes’. Altogether, how many pupils were in the survey? 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 19 http://www.SATs-Papers.co.uk Eggs 18. In this question you will need the following information about hens’ eggs. Approximate mass, in grams, Mass of egg Grade of egg Up to 53g Small 53g up to 63g Medium 63g up to 73g Large 73g or more Extra large is given by: Mass = y3 10 × 1.15 y cm The length, y, of an egg is 5.5cm. Use the formula to ﬁnd the grade of the egg. You must show your working. Grade 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 20 http://www.SATs-Papers.co.uk Ring size 19. A shop sells rings of different sizes. The diagram shows the diameters of the different sizes. size 5 size 7 size 8 size 9 15.7 mm (a) size 6 16.5mm 17.3mm 18.2mm 18.9mm What is the circumference of a size 8 ring? mm 1 mark (b) Rachel wants to buy a ring for her middle ﬁnger. That ﬁnger has a circumference of 51mm. What size ring should she buy? Show working to explain your answer. Tick ( ) your answer. size 5 size 6 size 7 size 8 size 9 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 21 http://www.SATs-Papers.co.uk Missing power, School size 20. Look at this calculation. 35 + 10 2 = 7 x Find the value of x. You must show your working. x = 21. 2 marks The table below shows the number of schools and the number of pupils in England. Number of schools Primary Secondary Total number of pupils 17 642 4 069 385 3 385 3 315 805 Show that, on average, a secondary school has about four times as many pupils as a primary school. 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 22 http://www.SATs-Papers.co.uk Container 22. The cuboid container below holds 12 litres of water when full. One litre is 1000cm3 The inside length and width of the cuboid are 40cm and 20cm. What is the inside height of the cuboid? Not drawn accurately Height 40cm 20cm Height = cm 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 23 http://www.SATs-Papers.co.uk nth term expressions 23. The ﬁrst three terms of a sequence are shown in the box. 5, 16, 27, … Look at each expression below. Write ‘No’ if it could not be the n th term expression for this sequence. Write ‘Yes’ if it could be the n th term expression for this sequence and then work out the 4th term. The ﬁrst one is done for you. Expression Could it be the n th term expression? 5n No If ‘Yes’, work out the 4th term n + 11 11n – 6 n2 ( 6 – n ) 3 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 24 http://www.SATs-Papers.co.uk Exam 24. There are 6 units in an exam course. Each unit is marked out of 100 To get grade A, the mean mark of all six units must be at least 80 Tom has taken ﬁve units. His mean mark is 78 To get grade A, how many marks must he get on the last unit? 2 marks KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 25 http://www.SATs-Papers.co.uk Equations 25. (a) The grid shows a straight line. y The equation of the line is y = x y=x 10 8 6 4 2 0 0 2 4 6 8 10 x Two of the equations below also describe the straight line y = x Put rings round the correct equations. x=y y = –x x–y=0 yx = 0 x+y=0 1 mark (b) Write the coordinates of two points that have an x coordinate that is one less than the y coordinate. ( ) , ( , ) What would be the equation of the straight line through these two points? 1 mark KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 26 http://www.SATs-Papers.co.uk House sales 26. In 2004 a newspaper published this incorrect report: Houses cost £60 000 one year ago. They now cost £80 000 This is a 25% increase. Write the missing numbers below to make each statement correct. (a) Houses cost £60 000 one year ago. They now cost £ 1 mark This is a 25% increase. (b) Houses cost £60 000 one year ago. They now cost £80 000 This is a % increase. 1 mark KS3/09/Ma/Tier 5–7/P2 Sourced from SATs-Papers.co.uk 27 http://www.SATs-Papers.co.uk END OF TEST ISBN No: 978-1-84721-705-9 © QualificationsSATs-Papers.co.uk Authority 2009 Sourced from and Curriculum QCA/09/3789 (Pupil pack) QCA/09/3783 (Mark scheme pack) http://www.SATs-Papers.co.uk 290012