May/June 2026 Paper 21

2026 · 26 questions · 43 parts · 100 marks

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5(a)5(b)

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8(a)8(b)8(c)

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Q10

10(a)10(b)

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Q11

11(a)11(b)(i)11(b)(ii)

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14(a)(i)14(a)(ii)14(b)

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25(a)(i)25(a)(ii)25(b)

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Q26

26(a)26(b)

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10(a)Number Systems Factors PrimesEasy1 mark

24192 = 2^{7} \times 3^{3} \times 7

245000 = 2^{3} \times 5^{4} \times 7^{2}

Find the highest common factor (HCF) of 24 192 and 245 000.

Answer

10(b)Number Systems Factors PrimesEasy2 marks

A number,

k

, is written as a product of its prime factors.

k = 2^{3} \times 3^{4} \times 5 \times c^{2}

where

c

is a prime number greater than 5. Write the number

20 k^{2}

as a product of its prime factors. Give your answer in terms of

c

in its simplest form.

Answer