O-LevelMathematicsNumber4024/22 · Oct/Nov 2025 · Q144 Marks
N=2ˣ×3ʸ×5¹. The lowest common multiple (LCM) of N and 360 is 16200.
- (a)Find the value of x and the value of y.[2]
- (b)Find the highest common factor (HCF) of N and 360.[1]
- (c)k is a positive integer. kN is a cube number. Find the smallest possible value of k.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [2] [x = ] 4, [y = ] 2. B1 for each or for answers 3⁴ and 5² or M1 for [16200 =] 2³ × 3⁴ × 5² or for [360 =] 2³ × 3² × 5 or for [45 =] 3² × 5
- [1] 90. FT answer 30 if their x = 1
- [1] 180
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