A surveyor in Kenya measures two triangular plots of land. Triangle PQR has sides PQ = 12 m, QR = 15 m, and PR = 18 m. Triangle XYZ has sides XY = 8 m, YZ = 10 m, and XZ = 12 m. What is the ratio of the area of triangle PQR to the area of triangle XYZ?

Q: How do I try a free Pearson Edexcel International Mathematics question?

Just tap any of the four options on this page — no signup, no card, nothing to install. You'll see the correct answer and a full mark-scheme-style explanation within a second. Each visit shows a fresh randomly-picked question from the live Pearson Edexcel International IGCSE Mathematics bank, so you can keep refreshing to try different ones before deciding whether to create a free account for daily access.

Q: Is Kramizo really free for Pearson Edexcel International Mathematics students?

Yes — completely free. Every student gets 45 questions a day on the free plan, across any board and any subject, with no card required and no trial countdown. Kramizo's optional Pro plan removes the daily cap and adds analytics, but the free plan is genuinely free forever. We make money from the small percentage of students who choose to upgrade — not from selling data or ads.

Q: Are the Mathematics questions aligned to the Pearson Edexcel International IGCSE syllabus?

Every question is written against the published Pearson Edexcel International IGCSE Mathematics syllabus and reviewed for accuracy before being added to the bank. We match the command words (state, describe, explain, evaluate), mark allocations, and difficulty tier you'll see on real Pearson Edexcel International past papers. Explanations are written in the style of official examiner mark schemes so students learn exactly what marks are being awarded for.

Question

A surveyor in Kenya measures two triangular plots of land. Triangle PQR has sides PQ = 12 m, QR = 15 m, and PR = 18 m. Triangle XYZ has sides XY = 8 m, YZ = 10 m, and XZ = 12 m. What is the ratio of the area of triangle PQR to the area of triangle XYZ?

Accepted Answer

9 : 4 — Award 1 mark for finding the linear scale factor k = 12/8 = 3/2. Award 1 mark for applying area ratio = k² = (3/2)² = 9/4. A is incorrect — this is the linear scale factor, not the area ratio. C is incorrect — this is the volume ratio k³. D is incorrect — this simplifies to 3:2 which is the linear ratio.

Answer

3 : 2

Answer

9 : 4

Answer

27 : 8

Answer

6 : 4

One real Mathematics question.No signup. 30 seconds.

One real Mathematics question.
No signup. 30 seconds.