Home / iGCSE Mathematics (0580) – C1.5 Ordering- Exam Style Questions Paper 3

iGCSE Mathematics (0580) - C1.5 Ordering- Exam Style Questions Paper 3- New Syllabus

Question

(a) Find the value of

(i) $\sqrt{1.96}$

(ii) $17^3$

(iii) $-0.8 \times -1.2$

(b) Write these numbers in order, starting with the smallest.

$\frac{11}{19} \quad 58\% \quad \frac{27}{47} \quad 0.574$

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C1.3 Powers and roots (a)
• C1.5 Ordering (b)
▶️ Answer/Explanation

(a)
(i) Compute the square root directly: $\sqrt{1.96} = 1.4$
(ii) Calculate the cube: $17 \times 17 \times 17 = 4913$
(iii) Multiply the two negative decimals (result will be positive): $-0.8 \times -1.2 = 0.96$
✅ Answers: (i) $1.4$, (ii) $4913$, (iii) $0.96$

(b)
Convert all numbers to decimals for easy comparison:
$\frac{11}{19} \approx 0.5789$
$58\% = 0.58$
$\frac{27}{47} \approx 0.5744$
$0.574$
Comparing these: $0.574 < 0.5744 < 0.5789 < 0.58$.
✅ Answer: $0.574 < \frac{27}{47} < \frac{11}{19} < 58\%$

Question

Write one of the symbols <, > or = in each statement to make it correct.

$\frac{2}{3}$ …… 0.667

$\frac{1}{8}$ …… 12.5%

$\frac{7}{8}$ …… $\frac{71}{80}$

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C1.5 Ordering
▶️ Answer/Explanation

Convert everything to decimals or common denominators to easily compare them.
First, $\frac{2}{3} = 0.666…$, which is slightly less than 0.667.
Second, $\frac{1}{8}$ as a percentage is exactly 12.5%.
Third, $\frac{7}{8} = \frac{70}{80}$, which is less than $\frac{71}{80}$.
✅ Answer: <, =, <

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