Simplifying: Real-world Applications in Travel & Maps
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on simplifying fractions when multiplying, with contextual problems related to travel and maps to enhance real-world understanding.
Worksheet Preview
Full preview • 12 questions
Simplifying: Real-world Applications in Travel & Maps
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.
Simplify the expression: (2/3) × (9/4).
[2 marks]2.
Calculate and simplify: (5/8) × (16/10).
[2 marks]3.
Simplify: (7/9) × (3/14).
[2 marks]4.
In travel planning, a map scale shows 1/50. If a distance on the map is 3/4 of the scale, what is the actual distance? Simplify your answer.
[3 marks]5.
A cyclist travels 2/3 of a route, which is 150 km long. If they travel 1/2 of this segment, what is the distance traveled? Simplify your answer.
[3 marks]6.
Simplify the product: (12/15) × (25/30).
[2 marks]7.
A map shows a route of 3/4 mile. If a hiker covers 2/5 of this distance, what is the length traveled? Simplify.
[3 marks]8.
Calculate and simplify: (18/24) × (8/12).
[2 marks]9.
A train travels 3/4 of its journey at one speed, then 1/3 at a slower speed. If the total journey is 180 km, what is the simplified total distance traveled at each segment? (Assume equal time spent at each segment for simplicity).
[4 marks]10.
Identify and correct the mistake in simplifying: (4/6) × (9/12) = (2/3) × (3/4) = 1/2.
[3 marks]11.
Construct a map route that is 5/6 mile long. If you travel 2/3 of this route, what is the simplified distance? Show your working.
[3 marks]12.
Calculate and simplify: (14/21) × (35/28).
[2 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