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HIGHER UNIT 1 – NUMBER ISTUDY – DEVELOPING SKILLS 1 7.13 × 6.2 = 44.206 a Write down two more multiplications with an answer of 44.206 b Write down a division with an answer of 0.713 (3 marks) 2 List these numbers in order, starting with the smallest. Show your working. 4.72 52 9.4 3 125 (3 marks) 3 a Estimate 23.7 – 64.25 4.76 b Use a calculator to work out the answer. Give your answer correct to 1 decimal place. (2 marks) 4 a Write 24 as a product of its prime factors in index form. b Use your answer to write 483 as a product of its prime factors in index form. (4 marks) 5 Work out the HCF and LCM of 48 and 72. (3 marks) 6 Find the value of x. a 32 × 3x = 36 b 7x ÷ 7–4 = 79 c 5x × 5 x = 5 8 (3 marks) 7 Write (83)6 as a single power. (1 mark) 8 Use prime factors to determine whether 2080 is divisible by 16. (2 marks) 9 Write each number in standard form. a 0.000 000 047 b 0.6 million c 510 × 108 (3 marks) HIGHER UNIT 1 – NUMBER ISTUDY – DEVELOPING SKILLS 5 –2 10 Write 7 as a fraction in its simplest form. (2 marks) 11 Work out the area of this shape. Write your answer as a surd in its simplest form. (3 marks) 12 Rationalise the denominator 12 10 (2 marks) Overall mark /31