RATIO & SCALES: THE ARCHIVE
Edexcel 4MA1 Past Paper Style Questions
Foundation (Q1-5) → Higher Standard (Q6-10) → Grade 9 Killer (Q11-15)
Simplify the ratio 24 : 16
Find the HCF (Highest Common Factor) of both numbers. HCF(24, 16) = 8
Share £60 in the ratio 2 : 3
Total parts = 2 + 3 = 5. One part = £60 ÷ 5
Write the ratio 50cm : 2m in simplest form
🚨 TRAP ALERT: Convert to same units first! 2m = 200cm
A map has scale 1 : 100. Real length is 5m. Find the map length in cm.
Scale 1:100 means 1cm on map = 100cm in reality
If a = (1/3)b, find a : b in simplest form
Multiply both sides by 3 to eliminate the fraction
Express 4 : 5 in the form 1 : n
Divide both parts by the first number (4)
Share £416 in the ratio 4 : 3 : 1
Total parts = 4 + 3 + 1 = 8
Ali and Beth share money in the ratio 5 : 2. Ali gets £30 MORE than Beth. Find the total amount.
🚨 TRAP ALERT: £30 is the DIFFERENCE between shares. Difference in parts = 5 - 2 = 3
A map scale is 1 : 50,000. The distance on the map is 4cm. Find the real distance in km.
Convert: 1cm on map = 50,000cm = 500m = 0.5km in reality
Given x : y = 3 : 4, work out (x + y) : y
Let x = 3k and y = 4k (where k is a common multiplier)
Given a : b = 2 : 3 and b : c = 4 : 5, find a : b : c
THE BRIDGE METHOD: Make the "b" values equal by finding LCM(3, 4) = 12
The ratio of boys to girls is 3 : 5. If 10% of boys leave, find the new ratio (boys : girls) in simplest form.
Let boys = 3k, girls = 5k. After 10% leave: boys = 3k × 0.9 = 2.7k
Given x/y = 4/7, find the value of (2x + y)/(x - y)
Let x = 4k and y = 7k, then substitute
The area of circle A : area of circle B is 4 : 9. Find the ratio radius A : radius B.
Area ratio = (radius ratio)². Take square root!
Two spheres have surface areas in the ratio 16 : 25. Find the ratio of their volumes.
Surface area ratio = r² ratio. Volume ratio = r³ ratio
Designed using Edexcel 4MA1 Specification | © Gen Z Study
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