iGCSE Mathematics (0580) : C2.4 Use and interpret positive, negative and zero indices. iGCSE Style Questions Paper 3

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

Question

 (a) Write one hundred and twenty thousand and twenty in figures.
………………………………………….
(b) Find the value of\( \sqrt{3481}.\)
………………………………………….
(c)
(i) Write down the fraction of the rectangle that is shaded.
………………………………………….
(ii) Find the percentage of the rectangle that is not shaded.
……………………………………….%
(d) Write these numbers in order, starting with the smallest.
27%  \( \frac{5}{17}\)    0.268    \(\frac{7}{29}\)
……………….. <……………….. <……………….. <………………..
(e) Write 0.3728 correct to 1 decimal place.
…………………………………………
(f) Write down the value of \(19^{\circ}\)
…………………………………………..
(g) The height, h metres, of a tower is 128m, correct to the nearest metre.
Complete the statement about the value of h.
\(……………… \leq h< ………………\)
(h) Find the highest common factor (HCF) of 126 and 180.
………………………………………….
(i) Write down an irrational number with a value between 6 and 7.
………………………………………….

Answer/Explanation

(a) 120 020
(b) 59
(c)(i)\(\frac{5}{8}\)
(ii) 37.5
(d) \(\frac{7}{29}\)    0.268     27%      \( \frac{5}{17}\)
(e) 0.4
(f) 1
(g) 127.5 128.5
(h) 18
(i) Any irrational number between 6 and 7

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