O-LevelMathematicsNumber4024/11 · Oct/Nov 2023 · Q145 Marks
Write 36 as a product of its prime factors.
- (a)Write 36 as a product of its prime factors.[2]
- (b)Bus A leaves the bus station every 36 minutes. Bus B leaves the bus station every 48 minutes. The two buses both leave the bus station at 0930. Find the next time when the two buses leave the bus station together.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [2] (a) 2 x 2 x 3 x 3 or 2² x 3²
- [2] B1 for 2, 2, 3, 3 not as product or M1 for any two stages correct in factor tree or ladder method
- [3] (b) 1154
- [3] B2 for 144 or 2 h 24m or M1 for 2⁴ x 3 oe or 36x48 / 12 oe OR M2 for listing times/multiples of both 36 and 48 to at least 11 54 or 144 or M1 for at least 72, 108 and 96, 144 listed or for at least 10.06, 10.42 and 10.18, 11.06 listed
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