IGCSE Math RevisionQuestion 1
A rectangle is \(12.5\) cm long and \(8\) cm wide.
Work out (a) its area (b) its perimeter.
Show the worked answer
- (a) \(12.5 \times 8 = 100\) cm²
- (b) \(2 \times (12.5 + 8) = 41\) cm
Answer: (a) \(100\) cm² (b) \(41\) cm
Cambridge IGCSE Maths (0580) · Topic 5: Mensuration · 5.2
Cambridge IGCSE Maths 0580 Area and Perimeter Questions
Area and Perimeter 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.
- 10 questions
- 10 Core
- 8 non-calculator
- Free, no sign-in
What the syllabus asks
- 5.2 Area and perimeter Core
Perimeter and area of rectangles, triangles, parallelograms and trapezia.
Summarised in our own words: check the exact wording in the official 0580 syllabus.
Area and Perimeter questions: Core
For everyone: Core students (Papers 1 and 3) and Extended students (Papers 2 and 4).
Question 2
A triangle has a base of \(14\) cm and a perpendicular height of \(9\) cm.
Work out its area.
Show the worked answer
- \(\frac{1}{2} \times 14 \times 9 = 63\) cm²
Answer: \(63\) cm²
Question 3
A parallelogram has a base of \(11\) cm and a perpendicular height of \(6\) cm.
Work out its area.
Show the worked answer
- Area \(=\) base \(\times\) perpendicular height \(= 11 \times 6 = 66\) cm².
Answer: \(66\) cm²
Question 4
A parallelogram has base 8.4 cm and perpendicular height 5.5 cm. Find its area.
Show the answer and mark scheme
- M1 8.4 × 5.5
- A1 46.2 cm²
Answer: \(46.2\text{ cm}^2\)
Question 5
A trapezium has parallel sides of \(7\) cm and \(13\) cm. The distance between them is \(6\) cm.
Work out its area.
Show the worked answer
- \(\frac{1}{2}(7 + 13) \times 6 = 10 \times 6 = 60\) cm²
Answer: \(60\) cm²
Question 6
A square has an area of \(81\) cm².
Work out its perimeter.
Show the worked answer
- Side \(= \sqrt{81} = 9\) cm.
- Perimeter \(= 4 \times 9 = 36\) cm.
Answer: \(36\) cm
Question 7
A trapezium has parallel sides of 6 cm and 10 cm. The perpendicular distance between them is 5 cm. Find its area.
Show the answer and mark scheme
- M1 ½ × (6 + 10) × 5
- A1 40 cm²
Answer: \(40\text{ cm}^2\)
Question 8
A rectangle has an area of \(52.5\text{ cm}^2\) and a length of 7.5 cm. Find its perimeter.
Show the answer and mark scheme
- M1 52.5 ÷ 7.5 (= 7)
- M1 2 × (7.5 + their 7)
- A1 29 cm
Answer: \(29\) cm
Question 9
A rectangle has a perimeter of \(46\) cm and a length of \(15\) cm.
Work out its area.
Show the worked answer
- Length \(+\) width \(= 46 \div 2 = 23\), so the width is \(8\) cm.
- Area \(= 15 \times 8 = 120\) cm².
Answer: \(120\) cm²
Question 10
A triangle has an area of \(42\) cm² and a base of \(12\) cm.
Work out its perpendicular height.
Show the worked answer
- \(\frac{1}{2} \times 12 \times h = 42\), so \(6h = 42\).
Answer: \(7\) cm
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).
Keep going
- Mensuration practice for 0580: more questions, each one marked, tagged Core or Extended
- My mistakes, then a Skill Builder on the skills you missed
- Common mistakes in 0580: what the Cambridge examiner reports say
- Mensuration revision notes and the 0580 formula sheet
- Cambridge IGCSE Maths 0580 past papers, when you are ready for a full paper
Questions students ask
Which Cambridge 0580 papers can test area and perimeter?
Area and Perimeter is on both tiers (syllabus 5.2), 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.
Are these Cambridge past-paper questions?
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.
Where can I practise more area and perimeter questions?
In the 0580 practice for topic 5 (Mensuration), 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.