Subtracting: Problem Solving & Reasoning

Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on subtraction skills applied to geometric contexts, including problem solving, real-world applications, and extension challenges.

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Subtracting: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Higher
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Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 85 - 27.
[2 marks]
2.
Subtract 146 from 200.
[2 marks]
3.
A rectangle has a length of 12 cm and a width of 8 cm. If a smaller rectangle of 6 cm by 3 cm is cut out from the larger rectangle, what is the remaining area?
[3 marks]
4.
Plot the graph of y = 2x for x values from 0 to 5.
[3 marks]
5.
Construct a triangle with sides measuring 5 cm, 7 cm, and 9 cm using the grid. Show your working.
[4 marks]
6.
A swimming pool is 25 meters long and 10 meters wide. If 15 meters of the length is filled with water, how much area remains unfilled?
[3 marks]
7.
A farmer has 150 kg of wheat. He sells 45 kg and then buys 30 kg more. How much wheat does he have now?
[2 marks]
8.
A room is 5 meters long, 4 meters wide, and 3 meters high. If a wall is 2 meters long and 2.5 meters high, how much wall area is left after painting?
[3 marks]
9.
A car travels 300 km and uses 25 liters of fuel. How much fuel is used per km? Round to two decimal places.
[2 marks]
10.
Identify the mistake in this calculation: 100 - 45 = 55, but the answer given is 50. Correct the mistake and find the right answer.
[4 marks]
11.
A rectangle has an area of 60 cm². If the length is 10 cm, what is the width? Show your working.
[3 marks]
12.
A garden is 15 meters long and 8 meters wide. A pathway of 2 meters wide runs along the length and width of the garden, reducing the planting area. Calculate the remaining planting area.
[4 marks]

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Details

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