Part:Whole: Challenge & Extension

Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A challenging worksheet focusing on converting ratios to fractions representing part:whole relationships, designed to extend GCSE Foundation students' understanding.

Worksheet Preview

Full preview • 12 questions

Part:Whole: Challenge & Extension

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Express the ratio 3:7 as a fraction of the whole. Simplify your answer if possible.
[2 marks]
2.
A bag contains 12 red balls and 8 blue balls. What fraction of the balls are red?
[2 marks]
3.
Convert the ratio 5:15 into a simplified fraction of the part over the whole.
[2 marks]
4.
In a class of 30 students, 18 prefer chocolate ice cream. What fraction of the class do not prefer chocolate?
[2 marks]
5.
A recipe uses 2 parts sugar to 5 parts flour. What fraction of the total ingredients is sugar?
[2 marks]
6.
A survey finds that 40 out of 100 people like tea. Express this as a simplified fraction.
[2 marks]
7.
A mixture contains 18 grams of salt and 42 grams of water. What fraction of the mixture is water?
[2 marks]
8.
A pizza is cut into 8 slices. If 3 slices are pepperoni, what fraction of the pizza are pepperoni slices?
[2 marks]
9.
A school has 240 students, with 60 involved in sports. What fraction of students are involved in sports?
[2 marks]
10.
A bag contains 25 yellow and 75 green marbles. What is the fraction of green marbles out of the total?
[2 marks]
11.
Identify and correct the mistake: A ratio of 4:16 is written as the fraction 4/16, which is already simplified.
[3 marks]
12.
A bottle contains a mixture of 20% orange juice and 80% water. Write the part:whole ratio of orange juice to the total mixture as a simplified fraction.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet