HCF Method: Real-world Applications in Space & Astronomy
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the HCF (Highest Common Factor) method through space and astronomy contexts, including procedural questions and real-world applications.
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HCF Method: Real-world Applications in Space & Astronomy
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.
Find the HCF of 48 and 180 using the prime factorisation method. Show your working.
[3 marks]2.
Simplify the ratio 270:360 using the HCF method. Show all steps.
[3 marks]3.
A spaceship has fuel tanks containing 84 litres and 126 litres of fuel. Find the HCF to determine the largest uniform capacity for some containers. Show your working.
[2 marks]4.
Calculate the HCF of 144, 288, and 432.
[3 marks]5.
A satellite orbits Earth in two different paths. The durations of orbits are 120 minutes and 180 minutes. Find the HCF of these durations to determine the longest common orbit cycle.
[2 marks]6.
In a space mission, two astronauts collect meteor samples weighing 210g and 315g respectively. Use the HCF method to find the maximum weight of each sample if they are to be divided into equal parts.
[3 marks]7.
Plot the graph of y = 3x for x from 1 to 10 on the grid.
[2 marks]8.
Construct a triangle on the grid with side lengths that are in a ratio of 4:6:8, simplifying using the HCF. Show your construction steps.
[4 marks]Construction space
9.
A telescope has 105 lenses and 140 filters. Find the maximum number of identical sets that can be made with no leftover items.
[2 marks]10.
A spacecraft contains two types of fuel tanks in ratios 50:75 and 60:90. Use the HCF method to find the simplest ratio for each to optimize storage.
[4 marks]11.
Identify and correct the mistake in this student solution: "HCF of 40 and 60 is 20 because 40 and 60 are divisible by 20."
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet