Home / iGCSE Mathematics (0580) : C1.3 Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers. iGCSE Style Questions Paper 1

iGCSE Mathematics (0580) : C1.3 Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers. iGCSE Style Questions Paper 1

Question

(a) Find the value of √225.

(b) Write down the reciprocal of \(\frac{2}{3}\).

(c) Work out three-quarters of one-third.

(d) Work out -7 – (6 – 8).

▶️ Answer/Explanation
Solution

Ans:

(a) 15 (since 15 × 15 = 225)

(b) 3/2 (reciprocal means flip the fraction)

(c) 1/4 (3/4 × 1/3 = 3/12 = 1/4)

(d) -5 (first calculate 6-8 = -2, then -7 – (-2) = -7 + 2 = -5)

Question

From the list, write down:

(a) a cube number

(b) a prime number

▶️ Answer/Explanation
Solution

(a) Ans: 64 (4×4×4)

(b) Ans: 61 (Only divisible by 1 and itself)

Note: 63, 66, 68, 69 are all composite numbers.

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