Cambridge IGCSE Maths (0580) · Topic 1: Number · 1.8
Standard Form questions with worked answers for Cambridge IGCSE Mathematics (0580). Each question says whether it is Core or Extended and whether it is for a calculator or non-calculator paper. Try each one before you open the answer.
Summarised in our own words: check the exact wording in the official 0580 syllabus.
For everyone: Core students (Papers 1 and 3) and Extended students (Papers 2 and 4).
Write in standard form
(a) \(45\,000\)
(b) \(0.00072\)
Answer: (a) \(4.5 \times 10^4\) (b) \(7.2 \times 10^{-4}\)
Write \(3.06 \times 10^5\) as an ordinary number.
Answer: \(306\,000\)
Work out \((3.2 \times 10^{4}) \times (2.5 \times 10^{3})\). Give your answer in standard form.
Answer: \(8 \times 10^{7}\)
Calculate \((4 \times 10^5) \times (2.5 \times 10^3)\), writing the answer in standard form.
Answer: \(1 \times 10^9\)
The mass of the Earth is \(5.97 \times 10^{24}\) kg. The mass of the Moon is \(7.35 \times 10^{22}\) kg.
How many times heavier is the Earth than the Moon? Give your answer correct to 3 significant figures.
Answer: \(81.2\)
Work out \((8 \times 10^6) \div (4 \times 10^{-2})\). Give your answer in standard form.
Answer: \(2 \times 10^8\)
Work out \((6 \times 10^{8}) \div (3 \times 10^{-2})\). Give your answer in standard form.
Answer: \(2 \times 10^{10}\)
The mass of one grain of sand is \(6.4 \times 10^{-5}\) grams. Find the mass of 2.5 million grains of sand. Give your answer in standard form.
Answer: \(1.6 \times 10^{2}\) grams
Work out \(4.2 \times 10^5 + 3.8 \times 10^4\). Give your answer in standard form.
Answer: \(4.58 \times 10^5\)
Light travels at \(3.0 \times 10^8\) metres per second. The distance from the Sun to the Earth is \(1.5 \times 10^{11}\) metres.
How many minutes does light take to travel from the Sun to the Earth? Give your answer correct to 3 significant figures.
Answer: \(8.33\) minutes
Every question on this page is original, written for IGCSE Math Revision rather than taken from Cambridge papers, and each answer was re-solved independently before publishing. Questions with a mark scheme come from our 0580 practice bank (M method, A accuracy, B independent marks).
Standard Form is on both tiers (syllabus 1.8), so it can come up on Core Papers 1 (non-calculator) and 3 (calculator), and Extended Papers 2 (non-calculator) and 4 (calculator). Extended candidates also need the Extended parts listed on this page. Half of each tier's marks are on a non-calculator paper, so practise the non-calculator questions without one.
No. Every question here was written for IGCSE Math Revision in the style of the 0580 papers, and each answer was checked independently before publishing. For real exam practice, use the Cambridge past papers linked from our 0580 past papers page.
In the 0580 practice for topic 1 (Number), where every question is marked and tagged Core or Extended. Practice is part of the IGCSE plan, with a free preview; the questions on this page are free.
IGCSE Math Revision