O-LevelMathematicsNumber4024/11 · Oct/Nov 2021 · Q145 Marks
Express 60 as the product of its prime factors.
- (a)Express 60 as the product of its prime factors.[2]
- (b)A school buys packs of pens and packs of rulers. There are 60 pens in each pack of pens. There are 42 rulers in each pack of rulers. The school wants to buy exactly the same number of pens and rulers. Work out the smallest number of each pack the school should buy.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- 14(a) 2×2×3×5 or 2²×3×5 [2] B1 for 2, 2, 3, 5 or M1 for any two stages correct in factor tree or ladder method
- 14(b) 7 (packs of pens) 10 (packs of rulers) [3] B2 for LCM = 420 soi or 2² × 3 × 5×7 or for simplified ratio pens : rulers = 10 : 7 or B1 for 42 = 2 × 3×7 or M1 for three multiples of 60 and 42 listed
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