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1
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find the prime factorisation of 45 and 60. Use the answer to fin the HCF.
45→5 x 3² 60→5 x 3 x 2²
HCF = 15
2
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If *w* = 2² x 3 x 5 then find the prime factorisation of 36*w*
5 x 3³ x 2⁴
3
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2/12 ÷ 3/7 =?
7/18
4
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A bike has a two digit lock from 1→9. How many possible combinations are there?
81
5
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How many possible ways can you order the numbers
1, 5, 6, 7, 5
120
6
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A three digit lock has number 3→8 including 3 and 8. How many possible combinations can be made without repeating a number?
120
7
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find (5/4)⁻⁴
256/625
8
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find (7/11)⁻⁴
14641/2401
9
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