Online Quiz: British Curriculum Maths Quiz: Number Skills
Open Online Quiz: British Curriculum Maths Quiz: Number Skills - 🔢 Maths - Level 10 - Term 1 as an interactive British curriculum quiz with instant marking and explanations.
Level 10🔢 MathsTerm 12025/2026Teacher: Almanahj
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Cambridge IGCSE Number Skills Practice Quiz
This expanded Level 10 maths quiz gives students varied practice in number skills, including fractions, percentages, powers, roots, standard form, estimation, rounding, bounds, ratio, HCF, LCM, inequalities, irrational numbers, and simple interest. Each question includes instant marking and a worked explanation.
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Question 1
1 point
A shop reduces a jacket from £80 to £68. What percentage decrease is this?
Explanation
The decrease is £12. Percentage decrease is \(\frac{12}{80} \times 100 = 15\%\).
Question 2
1 point
Work out \(\frac{5}{6} - \frac{1}{4}\).
Explanation
Use a common denominator of 12: \(\frac{5}{6}=\frac{10}{12}\) and \(\frac{1}{4}=\frac{3}{12}\). The difference is \(\frac{7}{12}\).
Question 3
1 point
Write 0.000047 in standard form.
Explanation
Standard form is a × 10^n, where \(1 \leq a < 10\). Moving the decimal 5 places gives 4.7 × 10-5.
Question 4
1 point
Calculate (-3)3 + 52.
Explanation
(-3)3=-27 and 52=25. So -27+25=-2.
Question 5
1 point
Find the highest common factor (HCF) of 84 and 126.
Explanation
84=22 × 3 × 7 and 126=2 × 32 × 7. The common prime factors give 2 × 3 × 7=42.
Question 6
1 point
Find the lowest common multiple (LCM) of 18 and 24.
Explanation
18=2 × 32 and 24=23 × 3. Use the highest powers: 23 × 32=72.
Question 7
1 point
A number is rounded to 2 decimal places as 6.48. Which value could be the original number?
Explanation
Numbers that round to 6.48 to 2 decimal places are from 6.475 up to but not including 6.485. So 6.475 is possible.
Question 8
1 point
Estimate \(\frac{398 \times 21}{0.49}\) by rounding each number to 1 significant figure.
Explanation
Round 398 to 400, 21 to 20, and 0.49 to 0.5. Then \(400 \times 20 \div 0.5 = 8000 \div 0.5 = 16000\).
Question 9
1 point
Which of these fractions is equivalent to the recurring decimal \(0.\overline{3}\)?
Explanation
\(0.3333\ldots\) is one third, so \(0.\overline{3}=\frac{1}{3}\).
Question 10
1 point
Simplify \(\sqrt{72}\).
Explanation
72=36 × 2, so \(\sqrt{72}=\sqrt{36}\sqrt{2}=6\sqrt{2}\).
Divide the numbers and subtract powers: \(3.6 \div 9=0.4\), and \(10^5 \div 10^2=10^3\). So 0.4 × 103=400.
Question 12
1 point
A recipe uses flour and sugar in the ratio 5:2. If 350 g of flour is used, how much sugar is needed?
Explanation
Five parts represent 350 g, so one part is 70 g. Sugar is 2 parts, so 2 × 70=140 g.
Question 13
1 point
Increase 240 by 12.5%.
Explanation
12.5% is \(\frac{1}{8}\). One eighth of 240 is 30, so the increased value is 240+30=270.
Question 14
1 point
A population decreases from 50 000 to 42 500. What is the percentage decrease?
Explanation
The decrease is 7500. Percentage decrease is \(\frac{7500}{50000} \times 100 = 15\%\).
Question 15
1 point
Work out \(2\frac{1}{3} \times 1\frac{1}{2}\).
Explanation
Convert to improper fractions: \(2\frac{1}{3}=\frac{7}{3}\) and \(1\frac{1}{2}=\frac{3}{2}\). Then \(\frac{7}{3}\times\frac{3}{2}=\frac{7}{2}=3\frac{1}{2}\).
Question 16
1 point
A number x satisfies \(-4 < x \leq 2\), where x is an integer. How many possible values are there?
Explanation
The integer values are -3,-2,-1,0,1,2. There are 6 possible values.
Question 17
1 point
The upper bound of a length rounded to the nearest centimetre is 18.5 cm. What value was it rounded to?
Explanation
A measurement rounded to 18 cm to the nearest centimetre has bounds \(17.5 \leq x < 18.5\). The upper bound is 18.5 cm.
Question 18
1 point
Evaluate \(64^{\frac{2}{3}}\).
Explanation
\(64^{\frac{1}{3}}=4\), then square it: 42=16.
Question 19
1 point
A bank account earns 3% simple interest per year on £900 for 4 years. How much interest is earned?
Explanation
Simple interest is P × r × t. So 900 × 0.03 × 4 = 108.
Question 20
1 point
Which number is irrational?
Explanation
\(\sqrt{49}=7\), 0.125, and \(\frac{22}{7}\) are rational. \(\sqrt{50}=5\sqrt{2}\), which is irrational.
Question 21
1 point
After a 20% discount, a laptop costs £640. What was the original price?
Explanation
After a 20% discount, the price is 80% of the original. So 0.8x=640, giving \(x=640 \div 0.8=800\).
Question 22
1 point
A length is measured as 12.4 cm to the nearest 0.1 cm. A width is measured as 5.8 cm to the nearest 0.1 cm. What is the upper bound for the area?
Explanation
The upper bounds are 12.45 cm and 5.85 cm. The upper bound for the area is 12.45 × 5.85 = 72.8325 cm2.
Question 23
1 point
Simplify \(\frac{(2^3)^4 \times 2^{-5}}{2^2}\).
Explanation
(23)4=212. Then \(2^{12} \times 2^{-5} \div 2^2 = 2^{12-5-2}=2^5\).
Question 24
1 point
A quantity N is 3.6 × 108. It is divided equally into 4.5 × 103 groups. How many are in each group?
Explanation
\((3.6 \div 4.5) \times 10^{8-3}=0.8 \times 10^5\), which is 8 × 104 in standard form.
Question 25
1 point
A school has boys and girls in the ratio 7:5. After 18 boys leave and 6 girls join, the ratio becomes 4:3. How many students were there originally?
Explanation
Let the original numbers be 7x boys and 5x girls. Then \(\frac{7x-18}{5x+6}=\frac{4}{3}\). So 21x-54=20x+24, hence x=78. The original total is 12x=936.
Question 26
1 point
The value of a car falls by 18% in one year. It is now worth £9840. What was its value before the decrease?
Explanation
After an 18% decrease, the value is 82% of the original. So 0.82x=9840, giving x=12000.
Question 27
1 point
A cylinder is not needed here: estimate \(\frac{0.049 \times 602}{1.98}\) using 1 significant figure.
Explanation
Round to 0.05, 600 and 2. Then \(0.05 \times 600 \div 2 = 30 \div 2 = 15\).
Question 28
1 point
Simplify \(\frac{3^5 \times 9^{-1}}{3^{-2}}\).
Explanation
Since 9-1=(32)-1=3-2, the numerator is 35 × 3-2=33. Dividing by 3-2 gives 33-(-2)=35.
Question 29
1 point
The lower bound of a rounded mass is 7.35 kg and the upper bound is 7.45 kg. To what nearest amount was the mass rounded?
Explanation
The interval width is 0.10 kg, so the value was rounded to the nearest 0.1 kg.
Question 30
1 point
A and B share money in the ratio 5:7. B gets £48 more than A. How much money is shared altogether?
Explanation
The difference between 7 parts and 5 parts is 2 parts. If 2 parts is £48, one part is £24. The total is 12 parts, so 12 × 24=288.
