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Ma Mathematics test KEY STAGE 3 TIER Paper 1 3–5 Calculator not allowed First name Last name 2007 School 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 and a ruler. 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 marker’s use only Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 1 TOTAL MARKS http://www.SATs-Papers.co.uk 15/11/06 7:51:10 pm 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. KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 2 2 http://www.SATs-Papers.co.uk 15/11/06 7:51:10 pm Euros 1. This question is about money called euros. Write the total number of euros in each box. The first one is done for you. Total: 615 euros Total: euros 1 mark 1 mark Total: euros Total: euros 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 3 3 http://www.SATs-Papers.co.uk 15/11/06 7:51:11 pm Number line 2. A sequence of numbers decreases by 3 each time. Write the missing numbers in the sequence below. 7 You can use the number line on the right to help you. 6 5 4 7 3 2 1 4 0 –1 –2 –3 –4 –5 –6 –7 2 marks KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 4 4 http://www.SATs-Papers.co.uk 15/11/06 7:51:12 pm 36 times table 3. Here is part of the 36 times table. 1 × 36 = 36 2 × 36 = 72 3 × 36 = 108 4 × 36 = 144 5 × 36 = 180 6 × 36 = 216 7 × 36 = 252 8 × 36 = 288 9 × 36 = 324 10 × 36 = 360 Use the 36 times table to help you work out the missing numbers. 288 ÷ 8 = 1 mark 180 ÷ 36 = 1 mark 11 × 36 = 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 5 5 http://www.SATs-Papers.co.uk 15/11/06 7:51:12 pm Feeding times 4. The table shows feeding times for some animals in a zoo. Start of feeding times Elephants 2:15pm Giraffes 12:20pm 2:30pm Otters 1:00pm Seals 1:00pm Tigers (a) 11:15am Length of feeding times 3:20pm 15 minutes 2:30pm 15 minutes 10 minutes 4:00pm 10 minutes 30 minutes The ﬁrst feeding time for giraffes starts at 12:20pm. At what time does it ﬁnish? : 1 mark (b) One feeding time ﬁnishes at 3:00pm. Which animal’s feeding time is this? 1 mark (c) A visitor arrives at the zoo at 1:45pm. How many minutes later does the next feeding time for elephants start? minutes 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 6 6 http://www.SATs-Papers.co.uk 15/11/06 7:51:12 pm Work out (d) A different visitor arrives at the zoo at 12:30pm. She wants to watch feeding times for elephants, otters and seals that day. Write three feeding times that she could watch. Elephants at Otters at Seals at : : : 1 mark 5. Work out 64 + 57 = 1 mark 64 – 57 = 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 7 7 http://www.SATs-Papers.co.uk 15/11/06 7:51:13 pm Dollars 6. In America, there are coins each worth 25 cents. These coins are called quarters because four of them make one dollar. + (a) + + = Altogether, how many quarters make 3 dollars? 1 mark (b) Laura has 20 quarters. How many dollars is that? 1 mark (c) Dev wants to change 10 dollars into quarters. How many quarters should he get? 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 8 8 http://www.SATs-Papers.co.uk 15/11/06 7:51:13 pm Divisibility 7. (a) Tick ( ) all the numbers below that divide by 5 with no remainder. 12 15 16 20 30 1 mark (b) Tick ( ) all the numbers below that divide by 3 with no remainder. 12 15 16 20 30 1 mark (c) Tick ( ) all the numbers below that divide by 15 with no remainder. 12 15 16 20 30 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 9 9 http://www.SATs-Papers.co.uk 15/11/06 7:51:14 pm Populations 8. The table shows the approximate populations of ﬁve different places. Place London 7 000 000 Shefﬁeld 700 000 Harrogate 70 000 Ash Vale 7 000 Binbrook (a) Approximate population 700 Which of the places has a population of about seventy thousand? 1 mark (b) Use the table to complete these sentences. The population of Harrogate is about 10 times as big as the population of The population of is about 100 times as big as the population of Harrogate. The population of Shefﬁeld is about times as big as 2 marks the population of Ash Vale. KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 10 10 http://www.SATs-Papers.co.uk 15/11/06 7:51:14 pm Number grids 9. Here are the rules for a number grid. This number is the sum of the numbers in the middle row. 12 10 2 20 This number is the product of the numbers in the middle row. Use the rules to write the missing numbers in these number grids. 12 4 7 9 10 24 KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 11 11 3 marks http://www.SATs-Papers.co.uk 15/11/06 7:51:14 pm Babies 10. The lengths of babies are measured at different ages. The graph shows the longest and shortest a baby boy is likely to be. longest baby boy 80 76 72 shortest baby boy 68 Length (cm) 64 60 56 52 48 44 0 0 4 8 12 16 20 24 28 32 36 40 44 48 Age (weeks) (a) Write the missing numbers below. A baby boy is 8 weeks old. The longest he is likely to be is about cm. 1 mark The shortest he is likely to be is about cm. 1 mark (b) A 34 week old baby boy is 72cm long. Put a cross on the graph to show this information. 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 12 12 http://www.SATs-Papers.co.uk 15/11/06 7:51:15 pm Cards for fractions 11. Here are six number cards. 2 (a) 4 6 8 10 12 Choose two of these six cards to make a fraction that is equivalent to 1 3 1 mark (b) Choose two of these six cards to make a fraction that is greater than 1 but less than 1 2 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 13 13 http://www.SATs-Papers.co.uk 15/11/06 7:51:15 pm Pentagon perimeter 12. The shape below is a regular pentagon. All five sides are exactly the same length. Measure accurately one of the sides, then work out the perimeter of the pentagon. 1 mark 1 mark Perimeter = cm 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 14 14 http://www.SATs-Papers.co.uk 15/11/06 7:51:15 pm Multiple and factor 13. (a) A three-digit number is a multiple of 4 What could the number be? Give an example. Now give a different example. 1 mark (b) A two-digit number is a factor of 100 What could the number be? Give an example. 1 mark Now give a different example. 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 15 15 http://www.SATs-Papers.co.uk 15/11/06 7:51:16 pm Same number, Squares 14. (a) Write the answer to this calculation. 2.5 (b) + 2.5 + 2.5 = 1 mark Now write a number in each box to make this calculation correct. The three numbers must be the same. + 15. + = 4.5 1 mark Sam says: The only four-sided shape with four right angles is a square. Is Sam correct? Yes No Explain your answer. 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 16 16 http://www.SATs-Papers.co.uk 15/11/06 7:51:16 pm x=8 16. (a) When x = 8, what is the value of 5 x ? Tick ( ) the correct box below. 5 13 40 58 None of these 1 mark (b) When x = 8, what is the value of 3 x – x ? Tick ( ) the correct box below. 0 3 16 30 None of these 1 mark (c) When x = 8, what is the value of x 2 ? Tick ( ) the correct box below. 8 10 16 64 None of these 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 17 17 http://www.SATs-Papers.co.uk 15/11/06 7:51:16 pm Grid 17. Lisa uses a grid to multiply 23 by 15 × 20 3 10 200 30 5 100 15 200 + 100 + 30 + 15 = 345 Answer: 345 Now Lisa multiplies two different numbers. Complete the grid, then give the answer below. × 40 3 30 600 18 Answer: 3 marks KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 18 18 http://www.SATs-Papers.co.uk 15/11/06 7:51:17 pm Sweets 18. Fred has a bag of sweets. Contents 3 yellow sweets 5 green sweets 7 red sweets 4 purple sweets 1 black sweet He is going to take a sweet from the bag at random. (a) What is the probability that Fred will get a black sweet? 1 mark (b) Write the missing colour in the sentence below. The probability that Fred will get a KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 19 sweet is 19 1 4 1 mark http://www.SATs-Papers.co.uk 15/11/06 7:51:17 pm Completing calculations, Rectangles 19. Write a number in each box to make the calculations correct. + –8 – 20. = = –8 1 mark 1 mark A rectangle has an area of 24cm2 How long could the sides of the rectangle be? Give three different examples. cm and cm cm and cm cm and cm 2 marks KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 20 20 http://www.SATs-Papers.co.uk 15/11/06 7:51:17 pm Percentages 21. (a) Write the missing numbers. 50% of 80 = 5% of 80 = 1% of 80 = 2 marks (b) Work out 56% of 80 You can use part (a) to help you. 1 mark KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 21 21 http://www.SATs-Papers.co.uk 15/11/06 7:51:18 pm Positive and negative 22. Look at this equation. y = 2x + 10 (a) When x = 4, what is the value of y ? 1 mark (b) When x = – 4, what is the value of y ? 1 mark (c) Which equation below gives the same value of y for both x = 4 and x = – 4? Put a ring round the correct equation. y = 2x KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 22 y = x2 y = 2 + x 22 y = x 2 1 mark http://www.SATs-Papers.co.uk 15/11/06 7:51:18 pm Barrels 23. The diagram shows four different sized barrels. Barrel A Barrel B Barrel C Barrel D holds holds holds holds 54 gallons 36 gallons 18 gallons 9 gallons Write the missing fractions as simply as possible. The ﬁrst one is done for you. Barrel C holds 1 2 of the amount barrel B holds. Barrel D holds of the amount barrel B holds. Barrel C holds of the amount barrel A holds. Barrel B holds of the amount barrel A holds. 2 marks KS3/07/Ma/Tier 3–5/P1 Sourced from SATs-Papers.co.uk KS3_p1_T3-5 275660.indd 23 23 http://www.SATs-Papers.co.uk 15/11/06 7:51:18 pm END OF TEST Sourced from and Curriculum © Qualifications SATs-Papers.co.uk Authority 2007 KS3_p1_T3-5 275660.indd 24 QCA/06/2779 (Pupil pack) http://www.SATs-Papers.co.uk 275660 QCA/06/2778 (Mark scheme pack) 15/11/06 7:51:19 pm