Estimating: Problem Solving & Reasoning
Mathematics
GCSE Higher
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on estimating the product of two decimals through problem solving, reasoning, and real-world contexts, designed for GCSE Higher students.
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Estimating: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Estimate the product of 3.48 and 2.76 by rounding to whole numbers and then multiply.
[2 marks]2.
Round 5.89 and 4.21 to one decimal place and estimate their product.
[2 marks]3.
Estimate the product of 0.96 and 1.03 using rounded figures.
[2 marks]4.
Calculate 4.7 × 3.2 exactly and then estimate by rounding.
[3 marks]B
Problem Solving & Reasoning
Tackle these multi-step problems. Explain your reasoning clearly.
1.
A fruit shop sells oranges at £1.45 each. Estimate the total cost of buying 12 oranges. Explain your estimation process.
[4 marks]2.
A manufacturer estimates that each gadget costs approximately 0.89 hours of machine time. If they produce 150 gadgets, estimate the total machine time. Show your working.
[3 marks]3.
A recipe calls for 0.75 kg of sugar per batch. Estimate the sugar needed for 9 batches and explain why estimation is useful here.
[4 marks]4.
Estimate the combined weight of two packages, one weighing 4.3 kg and the other 2.7 kg. How close is your estimate to the actual total?
[2 marks]C
Real-world Applications
Apply estimation to realistic contexts and justify your answers.
1.
A car travels approximately 0.65 km each minute. Estimate the distance traveled in 150 minutes. Explain your reasoning.
[4 marks]2.
A supermarket sells a 2.99 kg bag of rice for approximately £3.00. Estimate the total cost for 8 bags and discuss the importance of estimation in shopping.
[4 marks]D
Challenge & Extension
Tackle these more difficult estimation problems. Show detailed working.
1.
Estimate the product of 7.89 and 3.56 by rounding to the nearest whole number. Then calculate the exact product for comparison.
[3 marks]2.
A construction project estimates that each brick weighs approximately 2.45 kg. If 320 bricks are used, estimate the total weight, then compare with the precise calculation.
[3 marks]E
Mixed Review
Answer these questions to review your estimation skills across different scenarios.
1.
Estimate 9.73 × 4.88 by rounding to the nearest tenth and then multiply. How does the estimate compare to the exact calculation?
[3 marks]2.
Estimate the total cost of 15 items priced around £8.65 each. Explain why estimation is useful for quick budgeting.
[4 marks]F
Error Analysis
Review the common mistake below and correct it. Explain the error and provide the correct estimate.
1.
A student estimated 3.49 × 2.71 as 3 × 3 = 9. Is this a reasonable estimate? Why or why not? Correct the estimate.
[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