iGCSE Mathematics (0580) : Use the four rules for calculations . iGCSE Style Questions Paper 3

Question

(a) Write down
(i) a square number between 30 and 40,
(ii) the number three million, three hundred and thirty in figures,
(iii) the next cube number after 64,
(iv) the five factors of 16,
(v) a common multiple of 6 and 8,
(vi) a prime number between 20 and 30.

(b) Write 567.4892 correct to
(i) the nearest ten,
(ii) 2 decimal places.

(c) Complete these calculations.
(i) 4 + 6 \(\div \) 2 = ……….
(ii) (8 – 20) \(\div \) …………. = 4
(iii) 6432 \(\times \) ………. = 64.32

Answer/Explanation

Answer:

(a) (i) 36
(ii) 3000330 cao
(iii) 125
(iv) 1, 2, 4, 8. 16
(v) Any multiple of 24
(vi) 23 or 29

(b) (i) 570 cao
(ii) 567.49 cao

(c) (i) 7
(ii) -3
(iii)  [0].01 oe

Question

 (a) Write down
(i) the number twenty seven million, three hundred and sixty thousand and forty five in figures,
…………………………………………
(ii) the six factors of 20,
…………, …………, ………… , …………, ………… , …………
(iii) a fraction that is equivalent to\( \frac{7}{9},\)
…………………………………………
(iv) a prime number between 30 and 40.
…………………………………………
(b) For each statement, insert one pair of brackets to make it correct.
(i) \(17-3\times 5-3=11\)
(ii) \(3+2^{2}-4=21\)
(c) Find \(\sqrt[3]{4913}\)
…………………………………………

Answer/Explanation

(a)(i) 27360045
(ii) 1, 2, 4, 5, 10, 20
(iii)\(\frac{7k}{9k} \) where \(k\neq 1\)
(iv) 31 or 37
(b)(i) 17 – 3 × (5 – 3) = 11
(ii)\( (3 + 2)^{2} – 4 = 21\)
(c) 17

Question

(a) Work out \(48\div 3-5\times 2\).[1]

(b) Insert one pair of brackets to make this statement correct.

3 + 2 x  12 – 4 = 19 [1]

(c) Write the following in order, starting with the smallest.

\(\frac{3}{4}\)          0.749         76%

……………….. 1 ……………….. 1 ……………….. 1 ……………….. [2]
smallest

(d) Find the value of

(i) \(\sqrt{265.69}\),[1]

(ii) 83.[1]

(e) Write down the smallest prime number. [1]

(f) Write down all the factors of 18.[2]

(g) Write down a common factor of 16 and 72 that is greater than 2.[1]

(h) Write \(\frac{28}{140}\) as a fraction in its simplest form.[1]

(i) Jeff and his friends win a prize.
      Jeff’s share is $160 which is \(\frac{5}{11}\) of the prize.
      Work out the value of the prize.

\($\)[2]

Answer/Explanation

Ans:

2(a)

2(b) 3 + 2 × (12 – 4) = 19

2(c) \(\frac{11}{15}\)         \(\left [ 0 \right ].749\)          \(\frac{3}{4}\)          76[%]

2(d)(i) 16.3 

2(d)(ii) 512 

2(e)

2(f) 1 2 3 6 9 18

2(g) 4 or 8

2(h) \(\frac{1}{5}\) cao 

2(i) 352

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