Simple Contexts: Problem Solving & Reasoning
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet explores sharing in ratio within simple real-world contexts, focusing on problem solving and reasoning skills suitable for GCSE Higher students.
Worksheet Preview
Full preview • 12 questions
Simple Contexts: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A recipe requires 3 parts flour to 2 parts sugar. If you have 15 grams of flour, how much sugar do you need?
[2 marks]2.
Divide 48 into two parts in the ratio 5:7. What are the two parts?
[3 marks]3.
A bag contains red and blue balls in the ratio 3:2. If there are 20 blue balls, how many red balls are there?
[2 marks]4.
A worker is paid in the ratio 5:3 for hours worked on two different days. If they worked 40 hours on the first day, how many hours did they work on the second day?
[2 marks]5.
A map has a scale of 1 cm to 5 km. If two cities are 12 cm apart on the map, what is the actual distance in km?
[3 marks]6.
In a ratio of 4:7, the total parts are divided between two quantities. If the larger quantity is 35, what is the smaller quantity?
[2 marks]7.
A class has 24 students. The ratio of boys to girls is 3:2. How many boys are in the class?
[2 marks]8.
Construct a triangle on the grid with sides in the ratio 2:3:4. Use a scale where 1 unit on the grid equals 1 cm.
[4 marks]9.
A farmer divides 90 kg of grain between two silos in the ratio 5:4. How many kilograms of grain does each silo contain?
[3 marks]10.
A shop sells apples and oranges in a ratio of 3:2. If the shop sells 60 oranges, how many apples are sold?
[2 marks]11.
A factory produces two products in a ratio of 7:5. If the total production is 120 units, how many units of each product are made?
[3 marks]12.
Error Analysis: A student divides 48 into two parts in the ratio 2:3 and gets 16 and 24 as answers. Identify and correct the mistake.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet