Real-world Problems: Problem Solving & Reasoning

Mathematics
Grade 8
18 questions
~36 mins
1 views0 downloads

About This Worksheet

A worksheet focused on applying estimation techniques to real-world scenarios. Students will practice calculating approximate values, analyzing problems, and reasoning through multi-step estimations relevant to everyday situations.

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Real-world Problems: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 8
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Untitled Worksheet

Grade Grade 8
A

Introduction

Use estimation techniques such as rounding and mental calculations to solve real-world problems. Show your working in the grid spaces provided.
1.
Estimate the total cost of buying 15 apples at approximately $1.20 each. Show your calculation.
[3 marks]
2.
A car travels approximately 380 kilometers in 5 hours. Estimate its average speed in km/h.
[2 marks]
3.
Round 567 to the nearest hundred and estimate the sum of 567 + 432 using these rounded numbers.
[2 marks]
4.
Estimate the number of students in a school if each class has about 28 students and there are roughly 12 classes.
[2 marks]
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A grocery store sells 48 cartons of eggs. Each carton contains about 12 eggs. Estimate the total number of eggs in all the cartons.
[3 marks]
2.
A delivery truck is approximately 2.4 meters wide and 4.8 meters long. Estimate its area in square meters.
[2 marks]
3.
A factory produces around 1,250 units of a product each week. Estimate the total units produced in a month (about 4 weeks).
[2 marks]
4.
A box contains approximately 350 candies. If you pack candies into small bags of about 15 candies each, estimate how many bags you can fill.
[3 marks]
5.
Estimate the total weight if a bag of rice weighs about 5 kg and there are roughly 25 such bags.
[2 marks]
C

Problem Solving & Reasoning

Solve these multi-step estimation problems and explain your reasoning.
1.
A sports stadium has approximately 45,000 seats. If each row contains about 30 seats, estimate how many rows there are in the stadium. Explain your reasoning.
[4 marks]
2.
A farmer harvests about 2,500 apples a day during the peak season. If the season lasts approximately 60 days, estimate the total harvest. Show your working.
[4 marks]
3.
A baker makes around 120 cookies per hour. If they work for about 8 hours a day, estimate the total number of cookies baked in a week (7 days). Explain your steps.
[4 marks]
D

Challenge & Extension

Tackle these more difficult problems that require advanced estimation and reasoning skills.
1.
Estimate the total length of all the roads in a small town if there are about 25 streets, each approximately 3.2 kilometers long. Show your working.
[4 marks]
2.
A factory produces about 380 units of a product daily. Estimate the total production in a year assuming 365 days. Explain your reasoning.
[4 marks]
E

Mixed Review

Answer a variety of question types to review your understanding of real-world estimation problems.
1.
Estimate the number of pages in a book if each page has about 250 words and the book contains roughly 100,000 words. Show your working.
[3 marks]
2.
Plot the graph of y=2x for x values from 0 to 10 on the grid.
[2 marks]
3.
Construct a triangle with sides approximately 6 cm, 8 cm, and 10 cm. Use the grid for drawing.
[3 marks]
F

Error Analysis

Review the following common mistake and identify how to correct it.
1.
A student estimates the total cost of 8 items priced at $4.99 each by calculating 8 x $5 = $40. Identify the mistake and provide the correct estimation.
[3 marks]

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Details

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