iGCSE Mathematics (0580) - C1.8 Standard form- Exam Style Questions Paper 1- New Syllabus
Question
Write \(1.753 \times 10^{8}\) as an ordinary number.
Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):
▶️ Answer/Explanation
\(1.753\) becomes \(175{,}300{,}000\) (insert zeros as needed after the significant figures).
\[1.753 \times 10^8 = 175\,300\,000\]
✅ Answer: \(175\,300\,000\)
Question
Sam writes \(851\,000\) in standard form as \(85.1 \times 10^4\).
Explain why \(85.1 \times 10^4\) is not a number in standard form.
Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):
▶️ Answer/Explanation
Standard form requires a number to be written as \(A \times 10^n\), where the value of \(A\) must be between \(1\) and \(10\) (specifically \(1 \le A < 10\)).
In Sam’s answer, the number \(85.1\) is greater than \(10\), so it violates the rule for standard form.
✅ Answer: In standard form, the value \(A\) is written as \(A \times 10^n\) where \(1 \le A < 10\), and \(85.1\) is greater than \(10\).
The table shows the population and area of three countries in 2020.

(a) Calculate the difference in population between Nigeria and Vietnam.
(b) Which of Comoros or Vietnam has the greater population density? Show your working.
[Population density = \(\frac{population}{area(km^{2})}\)]
▶️ Answer/Explanation
Ans (a): 1.087 × 10⁸ or 108,700,000
Difference = Nigeria population (2.06×10⁸) – Vietnam population (9.73×10⁷) = 1.087×10⁸
Ans (b): Comoros
Comoros density = 8.70×10⁵ ÷ 1.86×10³ ≈ 468/km²
Vietnam density = 9.73×10⁷ ÷ 3.10×10⁵ ≈ 314/km²
Comoros has higher population density.
