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Ma Mathematics test KEY STAGE 3 TIER Paper 2 3–5 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 and mirror (optional) and a calculator. 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. KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 2 http://www.SATs-Papers.co.uk School shop 1. The table shows the items sold in a school shop in one week. Mon Wed Thu Fri Pencil 25 18 13 21 16 Pen 17 20 19 9 12 Ruler 5 1 2 6 8 Protractor 5 1 4 3 2 Compasses (a) Tue 5 1 2 1 0 How many pens were sold in the shop on Wednesday? 1 mark (b) On what day did the shop sell 2 protractors? 1 mark (c) The bar chart shows information for one of the items. 8 6 Number 4 sold 2 0 Mon Tue Wed Thu Fri Day Which item is this? 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 3 http://www.SATs-Papers.co.uk Missing numbers, Parcels 2. Write the missing numbers in the boxes. × 9 = 234 1 mark 81 3. ÷ = 27 1 mark Lauren wants to post three parcels. Each parcel costs £1.30 to post. How much change should she get from £10? £ 2 marks KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 4 http://www.SATs-Papers.co.uk Joining 4. Here is a triangle made using the pins on a pin board. Show how to make a square. Use the pins below. Now show how to make a different sized square. Use the pins below. Now show how to make another square which is a different size to the ones you have drawn. Use the pins below. 2 marks KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 5 http://www.SATs-Papers.co.uk Spinner 5. Here is a fair spinner divided into 8 equal sections. 3 2 2 1 2 3 3 1 I am going to spin the pointer. For each statement below, tick ( ) True or False. True False I am equally likely to spin a 2 as to spin a 3 I am more likely to spin an even number than an odd number. It is impossible that I will spin a number less than 2 It is certain that I will spin a number less than 4 2 marks KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 6 http://www.SATs-Papers.co.uk Fractions 6. The shapes in this question are drawn on square grids. (a) Shade 1 of the shape below. 2 1 mark (b) What fraction of the shape below is shaded? 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 7 http://www.SATs-Papers.co.uk Number of sides 7. How many sides do these shapes have? Draw lines to match each shape to the correct box. The ﬁrst one is done for you. Shape Number of sides 2 3 Triangle 4 Hexagon 5 Octagon 6 Quadrilateral 7 8 2 marks KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 8 http://www.SATs-Papers.co.uk Grid, Digital 8. In this grid, the numbers 1, 2 and 3 2 1 3 3 2 1 1 are in each row and each column. 3 2 Now complete this grid so that 3 the numbers 1, 2 and 3 are in each row and each column. 1 9. 2 2 marks Complete the table to show the different times in words and on a digital clock. The ﬁrst row is done for you. Time in words Time on digital clock Half past twelve 12 : 30 Quarter to eleven 1 mark 10 : 05 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 9 http://www.SATs-Papers.co.uk Reﬂecting 10. The diagrams in this question are drawn on square grids. Reﬂect the shapes in the mirror lines. Mirror line 1 mark Mirror line 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 10 http://www.SATs-Papers.co.uk Castle 11. The table shows the cost of tickets for visiting a castle. Tickets Family £17.00 Adult £6.50 Child £4.50 Two adults and two children visit the castle. They buy a family ticket. How much more would it have cost to buy two adult tickets and two child tickets? £ 2 marks KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 11 http://www.SATs-Papers.co.uk Test 12. Pupils take a test that has three different papers. Each pupil adds their marks from all three papers to ﬁnd their total mark. The table shows how to change the total mark to a grade. Total mark 104 or more A From 79 to 103 B From 53 to 78 C From 34 to 52 D 33 or less (a) Grade E Here are Simon’s marks. Paper 1 Paper 2 Paper 3 26 marks 33 marks 18 marks What grade did Simon get on the test? grade 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 12 http://www.SATs-Papers.co.uk Rounding (b) Here are Jenna’s marks from paper 1 and paper 2 Paper 1 Paper 2 Paper 3 48 marks 35 marks ? Jenna’s grade on the test was grade A. Complete the sentence below. Jenna must have scored at least marks on paper 3 1 mark 13. (a) Write the missing numbers in the sentences below. 2735 rounded to the nearest hundred is 1 mark 2735 rounded to the nearest thousand is 1 mark (b) Give an example of what the missing number could be in the sentence below. rounded to the nearest ten is 800 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 13 http://www.SATs-Papers.co.uk Baby 14. Here is some information about a baby. He was born on 2nd March 2005. He smiled for the first time on 30th March 2005. His first tooth appeared on 2nd December 2005. (a) How many weeks old was the baby when he smiled for the ﬁrst time? weeks 1 mark (b) How many months old was the baby when his ﬁrst tooth appeared? months 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 14 http://www.SATs-Papers.co.uk Count on 15. (a) I count on in equal steps. My fourth number is 42, my ﬁfth number is 47 ? 42 47 What is my ﬁrst number? 1 mark (b) I count on in equal steps. My ﬁrst number is –3, my ﬁfth number is 5 –3 ? 5 What is my third number? 2 marks KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 15 http://www.SATs-Papers.co.uk Shoe sizes 16. Kim asked some pupils: To the nearest whole number, what is your shoe size? The chart shows her results. Shoe size 4 5 6 7 8 9 8 (a) 6 4 2 Number of girls 0 0 2 4 6 8 Number of boys How many pupils had size 6 shoes? 1 mark (b) Kim asked more girls than boys. How many more? 1 mark (c) Who had the bigger range of shoe sizes? Girls Boys Both the same Explain your answer. 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 16 http://www.SATs-Papers.co.uk Finding x and y, Seventy 17. Find the values of x and y 694 + 396 + x = 1742 x = 1 mark y ÷ 13 = 34 y = 1 mark 18. Dan says: ‘All factors of 70 are even numbers.’ Is he correct? Yes No Explain your answer. 1 mark KS3/09/Ma/Tier 3–5/P2 Sourced from SATs-Papers.co.uk 17 http://www.SATs-Papers.co.uk Rainforest 19. 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 3–5/P2 Sourced from SATs-Papers.co.uk 18 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 3–5/P2 Sourced from SATs-Papers.co.uk 19 http://www.SATs-Papers.co.uk Units 20. 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 3–5/P2 Sourced from SATs-Papers.co.uk 20 http://www.SATs-Papers.co.uk Doughnuts 21. 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 3–5/P2 Sourced from SATs-Papers.co.uk 21 http://www.SATs-Papers.co.uk Stopping distances 22. 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 3–5/P2 Sourced from SATs-Papers.co.uk 22 http://www.SATs-Papers.co.uk Rotate 180 23. 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 3–5/P2 Sourced from SATs-Papers.co.uk 23 http://www.SATs-Papers.co.uk Value 24. 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 3–5/P2 Sourced from SATs-Papers.co.uk 24 http://www.SATs-Papers.co.uk 12 cubes 25. 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 3–5/P2 Sourced from SATs-Papers.co.uk 25 http://www.SATs-Papers.co.uk Cost of delivery 26. 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 3–5/P2 Sourced from SATs-Papers.co.uk 26 http://www.SATs-Papers.co.uk Shape area 27. 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 3–5/P2 Sourced from SATs-Papers.co.uk 27 http://www.SATs-Papers.co.uk END OF TEST ISBN No: 978-1-84721-699-1 © QualificationsSATs-Papers.co.uk Authority 2009 Sourced from and Curriculum QCA/09/3785 (Pupil pack) QCA/09/3783 (Mark scheme pack) http://www.SATs-Papers.co.uk 290008