O-LevelMathematicsNumber4024/12 · May/June 2017 · Q204 Marks
Write 54 as the product of its prime factors.
- (a)(i)Write 54 as the product of its prime factors.[1]
- (a)(ii)Find the smallest possible integer m such that 54m is a cube number.[1]
- (b)(i)Find the value of k in each of the following. √27 = 3^(k)[1]
- (b)(ii)(1/4)⁻³ = 2^(k)[1]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [1] (a)(i) 2 × 3³ or 2 × 3 × 3 × 3
- [1] (a)(ii) 4
- [1] (b)(i) 3/2 oe
- [1] (b)(ii) 6
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