IGCSE A Mathematics Revision Test 7 Duration: 1 hour [50 marks]
Date: Wednesday 12th June 2025
Name:
Instructions:
1. Answer all questions. Topics – Chapter 1: Number
2.Do not use a calculator. Chapter 2: Fractions, decimals, percentages
Chapter 3: The four operations
Chapter 4: Negative numbers
Chapter 5: Powers and roots
NB: SHOW WORKING
1 Evaluate.
(a) 7.58 × 0.89
………………………… [1]
(b) 175 ÷ 8
………………………… [1]
(c) 97.6 – 1.9
………………………… [1]
2 Write the number 152 as products of prime factors.
…………………………… [2]
1
3 Given that
810 = 2 × 3 4 × 5
252 = 22 × 32 × 7
(a) Find the HCF of 810 and 252.
………………………… [2]
(b) Find the LCM of 810 and 252.
………………………… [2]
4 Calculate.
(a) 35 × √6 64
………………………… [1]
(b) √3 343
………………………… [1]
(c) 3 4 +¿ √4 25 6
………………………… [1]
1
(d) 3
1331
2
………………………… [1]
5 Find the reciprocals of each of these:
(a) 300
…………………………… [1]
(b) 0.3
…………………………… [1]
2 4
6 The reciprocal of x is . The reciprocal of y is 1 .
3 5
Calculate the value of x y .
…………………………… [1]
7 Find the HCF of 36 and 64.
…………………………… [1]
8 Convert
5
(a) to a decimal
8
…………………… [1]
(b) 0.32 to a fraction.
3
…………………… [1]
9 Write each recurring decimal as a fraction in simplest form.
(a) 0. 777 … .
…………………… [1]
(b) 0.2̇ 4̇
…………………… [1]
10 Arrange the numbers in order of size starting with the smallest.
1 4
, 0.33,
3 15
…………….. ……………….. ………………….
[1]
11 (a) Increase $56 by 15%
…………………… [1]
(b) Decrease $8.60 by 5%
4
…………………… [1]
12 In a sale all items are reduced by 15%.
If the normal price for a bicycle is $120, calculate the sale price.
………………………… [2]
13 A store is holding a sale in which every item is reduced by 10%.
A jacket in this sale is sold for $108.
Calculate the original price of the jacket.
…………..………… [2]
14 (a) Find the simple interest earned on $250 deposited for 6 years at 8% p.a.
…………..………… [2]
(b) A woman borrows $100 000 for home improvements.
The compound interest is 15% p.a. and she repays it in full after 2 years.
How much interest will she pay?
5
…………..………… [2]
15 Complete these calculations
(a) −8.5+ ¿ 3.5 ¿
[1]
(b) −7−¿ ¿ 0
[1]
(c) −9 × 4 ¿
[1]
16 Work out.
2 1
(a) +
3 5
………………………… [1]
3 5
(b) 2 −1
4 6
………………………… [1]
3 1
(c) 1 ×2
4 2
………………………… [1]
1 3
(d) 2 ÷
2 4
6
………………………… [1]
17 (a) What is the difference between these temperatures.
−¿2 0C and −¿9 0C
………………………… [1]
(b) At 5 am the temperature in Lisbon was −¿ 4 0C. At 11 am the temperature was 3 0C.
(i) By how many degrees did the temperature rise?
………………………… [1]
(ii) The temperature in Madrid was two degrees lower than in Lisbon at 5 am.
What was the temperature in Madrid at 5 am?
………………………… [1]
18 The cost of food increases by 10% each year.
The cost of a basket of food now is $85.
Work out the cost of the food after three years.
………………………… [1]
19 Given that: x = −¿2, y = −¿ 3, and z = −¿ 4.
Work out z 2−x 2
7
………………………… [1]
20 Find the value of n if
(a) 4 n ¿ 64
n=¿………………………… [1]
(b) 5n ¿ 3125
n=¿………………………… [1]
3
21 (a) of 66kg
11
………………………… [1]
8
(b) of 54
9
………………………… [1]
22 Convert.
5
(a) 3 to an improper fraction.
8
………………………… [1]
(b) 3.5% to a fraction in simplest form.
8
………………………… [1]
