Word Problems: Problem Solving & Reasoning

Mathematics
GCSE Higher
23 questions
~46 mins
1 views0 downloads

About This Worksheet

A worksheet focused on solving word problems involving rounding to the nearest 10. Designed to develop reasoning and application skills for GCSE Higher students.

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Word Problems: Problem Solving & Reasoning

Subject: MathematicsGrade: GCSE Higher
Name:
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.
A school has 246 students. Round this number to the nearest 10 to estimate the number of students in the school.
[2 marks]
2.
A car traveled 1,352 km in a week. Round this distance to the nearest 10 km to estimate how far the car traveled.
[2 marks]
3.
A shop sells 487 items in a day. Round this number to the nearest 10 to estimate the daily sales.
[2 marks]
4.
A farmer harvested 2,768 apples last season. Round this to the nearest 10 for an approximate count.
[2 marks]
5.
A factory produces 3,124 units of a product each week. Round to the nearest 10 to estimate weekly production.
[2 marks]
6.
A marathon runner runs 42,195 meters in total. Round this to the nearest 10,000 meters to give an approximate distance.
[2 marks]
7.
A delivery truck makes 875 deliveries in a month. Round this to the nearest 10 for an estimate.
[2 marks]
8.
A gardener plants 1,439 flowers in a season. Round to the nearest 10 to estimate the number of flowers planted.
[2 marks]
9.
A city has a population of 1,236,789. Round this to the nearest 10,000 for a rough estimate.
[2 marks]
10.
A warehouse stores 9,562 items. Round this to the nearest 10 for an estimate of items stored.
[2 marks]
11.
A train travels 789 km in a journey. Round to the nearest 10 km to estimate the distance traveled.
[2 marks]
12.
A farmer's field measures 4,987 square meters. Round this to the nearest 10 square meters for an approximation.
[2 marks]
B

Problem Solving & Reasoning

Solve each multi-step problem and explain your reasoning clearly.
1.
A supermarket sold 3,467 bottles of juice last week. Estimate the number sold using rounding. If each bottle costs £2.50, estimate the total sales for the week.
[4 marks]
2.
A school library has 1,856 books. After a new shipment, the total becomes approximately 2,010. How many books were added? Round your answer and explain the steps.
[4 marks]
3.
A factory produces 4,987 units daily. In one week, estimate the total production. Round carefully and justify your calculations.
[4 marks]
4.
A car traveled 2,764 km over 5 days. Round the total distance and find the average distance traveled per day. Show all working.
[4 marks]
C

Real-world Applications

Use your rounding skills to solve these real-life scenarios.
1.
A farmer harvests 12,345 apples. Round to the nearest 10,000 to estimate the harvest size.
[2 marks]
2.
A city’s population is approximately 987,654. Round to the nearest 10,000 for a quick estimate.
[2 marks]
3.
A delivery company made 8,764 deliveries in a year. Round to the nearest 10 for an approximate count.
[2 marks]
D

Challenge & Extension

Attempt these challenging problems to stretch your reasoning.
1.
A sports stadium has a capacity of 54,367 seats. Round to the nearest 1,000 to estimate its capacity. If 75% of seats are filled during a game, estimate the number of spectators.
[4 marks]
2.
A city plans to build 123 new houses. After planning, the total estimated cost is about £987,654. Round to the nearest 10,000 for the total cost estimate. Explain your reasoning.
[4 marks]
E

Mixed Review & Error Analysis

Review the questions and identify any common mistakes in rounding. Correct the errors where applicable.
1.
A farmer harvests 3,251 apples and rounds to the nearest 10 as 3250. Is this correct? Explain your answer and correct if necessary.
[2 marks]
2.
A student estimates 9,876 km as 10,000 km when rounding to the nearest 10,000. Is this error acceptable? Justify your response.
[2 marks]

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Details

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