1 Understanding Number
Exam-style questions 7 Tasnim records the temperature, in °C, at 6 a.m. every day for 10 days: −6, −3, 0, −2, −1, −7, −5, 2, −1, −3 a Find the difference between the highest and the lowest temperatures. b Find the median temperature. (4024 paper 12 Q2 June 2012) 8 Add brackets to the expression to make it correct. 1 + 72 ÷ 4 × 2 = 10 9 Work out 43 − 52.
(4024 paper 01 Q3b June 2012) (0580 paper 01 Q1 June 2004)
10 The Dead Sea shore is 395 metres below sea level. Hebron is 447 metres above sea level. Find the difference in height. (0580 paper 01 Q2 June 2004) 11 a Express 154 as the product of its prime factors. b Find the lowest common multiple of 154 and 49.
(4024 paper 01 Q6 June 2007)
12 Place brackets in the following calculation to make it a correct statement. 10 − 5 × 9 + 3 = 60 (0580 paper 01 Q2 November 2004) 13 Write down a multiple of 4 and 14 which is less than 30. (0580 paper 01 Q1 November 2008) 14 Write 0.003 62 in standard form.
(0580 paper 01 Q7 June 2008)
15 Written as the product of its prime factors, 360 = 23 × 32 × 5. a Write 108 as the product of its prime factors. b Find the lowest common multiple of 108 and 360. Give your answer as the product of its prime factors. c Find the smallest positive integer k such that 360k is a cube number. (4024 paper 01 Q8 November 2006) 16 a Write down the two cube numbers between 10 and 100. b Write down the two prime numbers between 30 and 40. (4024 paper 01 Q3 June 2009) 17 a Write down all the factors of 18. b Write 392 as the product of its prime factors.
(4024 paper 01 Q6 June 2009)
18 The numbers 294 and 784, written as the product of their prime factors, are 784 = 24 × 72 294 = 2 × 3 × 72 Find a the largest integer which is a factor of both 294 and 784 (4024 paper 01 Q4 November 2009) b 784 .
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