Real-world Problems: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on estimating calculations within real-world contexts, highlighting common errors and misconceptions for GCSE Foundation students.
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Real-world Problems: Error Analysis & Misconceptions
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.
Estimate the total cost of buying 7 notebooks at £2.49 each. Round your answer to the nearest pound.
[2 marks]2.
A bag of apples weighs approximately 1.2 kg. Estimate the total weight if a market sells 15 such bags.
[2 marks]3.
Estimate the total distance traveled if a car drives 125 km each day for 4 days, then compare your estimate with the actual total.
[3 marks]4.
A container holds approximately 3.75 liters of water. Estimate how much water is in 8 such containers.
[2 marks]5.
A worker estimates that assembling 100 units will take about 4 hours. The actual time is 4 hours 30 minutes. What is the percentage error in the estimate?
[3 marks]6.
A supermarket estimates that they sell about 80 kg of potatoes daily. If they actually sell 92 kg, what is the percentage increase?
[3 marks]7.
In a survey, students estimate that 70% of their classmates prefer tea over coffee. If there are 200 students, estimate how many prefer tea.
[2 marks]8.
A bus covers approximately 150 km in 3 hours. Estimate the average speed and then calculate the actual speed given a recorded time of 2 hours 45 minutes.
[3 marks]9.
During a school event, a rough estimate suggested 200 attendees. The actual number was 215. What was the percentage error in the estimate?
[3 marks]10.
A farmer estimates that each apple tree yields about 25 kg of apples. If he has 40 trees, estimate the total yield. The actual yield turns out to be 1020 kg. Find the percentage difference between estimated and actual yields.
[4 marks]11.
Identify and correct the mistake in estimating the total cost when buying 6 items priced at £3.99 each, if a student estimates the total as £20.
[4 marks]12.
Plot the graph of y=2x for x from 0 to 5. Then, estimate the value of y at x=3.7 by drawing a suitable point.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet