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GCSE Maths -Higher Revision Cards Questions And Answers 2025/2026

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Use a prime factor tree. - correct_answHow do you write a number as a product of primes? e.g. 20 1. Write as a product of primes. 2. Use a venn diagram. 3. Multiply ALL the numbers in the venn diagram. - correct_answHow do you find the LCM of two numbers? e.g. LCM of 20 and 70

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Use a prime factor tree. - correct_answHow do you write a number as a product
of primes? e.g. 20



1. Write as a product of primes.

2. Use a venn diagram.

3. Multiply ALL the numbers in the venn diagram. - correct_answHow do you find
the LCM of two numbers? e.g. LCM of 20 and 70



1. Write as a product of primes.

2. Use a venn diagram.

3. Multiply the numbers in the middle. - correct_answHow do you find the HCF of
two numbers?

e.g. HCF of 20 and 70



Multiply the number by itself and by itself again.

5 x 5 x 5 = 125 - correct_answHow do you cube a number? e.g. 5³

,3 x 3 x 3 x 3 = 81 - correct_answHow do you work out 3>?



Find what number would be cubed to get the number you are cube rooting. =√27
= 3 - correct_answHow do you cube root a number? e.g. =√27



y⁸ (add the powers) - correct_answWhat is y= x y?



y@ (subtract the powers) - correct_answWhat is y⁸ ÷ y<



y⁸ (multiply the powers) - correct_answWhat is (y<)>



Round all numbers to 1 significant figure and then calculate.

e.g. 198.7 x 0.203 ≈ 200 x 0.2 = 40 - correct_answHow do you estimate a
calculation? e.g. 198.7 x 0.203



2, 3, 5, 7, 11, 13, 17, 19, 23, 29 - correct_answWhat are the first 10 prime
numbers?



1, 4, 9, 16, 25, 36, 49, 64, 81, 100 - correct_answWhat are the first 10 square
numbers?



1, 8, 27, 64, 125 - correct_answWhat are the first 5 cube numbers?

, Positive.

e.g. 8 x 3 = 24 - correct_answPositive X Positive



Negative.

e.g. 5 x -3 = -15 - correct_answPositive X Negative



Negative.

-10 x 2 = -20 - correct_answNegative X Positive



Positive.

-4 x -7 = 28 - correct_answNegative X Negative



Positive.

1000 ÷ 2 = 500 - correct_answPositive ÷ Positive



Negative.

40 ÷ -4 = -10 - correct_answPositive ÷ Negative



Negative.

-8 ÷ 4 = -2 - correct_answNegative ÷ Positive

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