Understanding Differences: Real-world Applications in Sports & Fitness

Mathematics
Grade 8
14 questions
~28 mins
1 views0 downloads

About This Worksheet

A worksheet exploring the concept of Understanding Differences through real-world sports and fitness scenarios, focusing on truncation and estimation.

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Understanding Differences: Real-world Applications in Sports & Fitness

Subject: MathematicsGrade: Grade 8
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Untitled Worksheet

Grade Grade 8
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the difference between the total points scored by Player A (128) and Player B (115).
[2 marks]
2.
Estimate the average number of laps run by a runner if they complete 76 laps in 4 races. Truncate to the nearest whole number.
[2 marks]
3.
A basketball player's average score per game is 24.7 points. Truncate this value to the nearest whole number.
[2 marks]
B

Problem Solving & Reasoning

Answer all questions. Show detailed working in the grid spaces provided.
1.
A cyclist travels 245 km in 5 days. Each day, they ride approximately the same distance. Using truncation, estimate the distance ridden per day.
[3 marks]
2.
A football team scored 87 goals over a season. If they scored 4 less goals than the total number of games played, estimate the number of games using truncation.
[3 marks]
3.
In a race, the winner's time is 12.75 seconds. Truncate to estimate the time in seconds rounded down to the nearest whole number.
[2 marks]
C

Real-world Applications

Solve these word problems based on sports and fitness contexts.
1.
A sprinter runs 200 meters in 22.9 seconds. Using truncation, estimate her speed in meters per second.
[3 marks]
2.
A swimmer completes 1500 meters in 29.4 minutes. Truncate the time to estimate the average speed in meters per minute.
[3 marks]
3.
A basketball player scores 35 points in 4 games. If each game’s points are estimated by truncating to the nearest whole number, what is the average points per game?
[2 marks]
D

Challenge & Extension

Attempt these more challenging problems. Show your reasoning.
1.
A marathon runner completes 42.195 km in 2 hours 45 minutes. Using truncation, estimate her average speed in km/h.
[3 marks]
2.
A tennis player hits 134 balls in a match lasting 2 hours 10 minutes. Truncate the total balls hit per hour.
[3 marks]
E

Mixed Review

Answer these questions to review understanding of differences.
1.
Subtract the shorter distance of 3.78 km from 12.56 km, truncating the result to the nearest tenth.
[2 marks]
2.
A runner’s time is 13.49 seconds. Truncate to estimate the time in seconds.
[2 marks]
F

Error Analysis

Review the common mistake and identify the error.
1.
A student calculates the difference between 19.78 and 4.55 as 15.23. Identify the mistake and provide the correct difference after truncation.
[3 marks]

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Details

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