Simple Scaling: Problem Solving & Reasoning
Mathematics
Grade 8
18 questions
~36 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and applying the concept of simple scaling within direct proportion. Designed for Grade 8 students to develop procedural skills and reasoning.
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Full preview • 18 questions
Simple Scaling: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
If 5 units of a material cost $20, what is the cost of 8 units?
[2 marks]2.
A map scale shows 1 cm representing 50 km. How many kilometers does 7.5 cm represent?
[2 marks]3.
A recipe that serves 4 requires 300 grams of sugar. How much sugar is needed to serve 10?
[2 marks]4.
Calculate the scaled length if a 12 cm side is increased by a factor of 3.
[3 marks]B
Targeted Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A car travels 120 km in 3 hours. How far will it travel in 7 hours at the same speed?
[3 marks]2.
A printer produces 600 pages in 4 hours. How many pages can it produce in 10 hours?
[3 marks]3.
A factory produces 250 units of a product in 8 hours. How many units does it produce in 20 hours?
[3 marks]4.
A bottle contains 1.5 liters of juice. If the bottle is scaled up by a factor of 4, what is the new volume?
[3 marks]C
Real-world Applications
Answer all questions. Show your working in the grid spaces provided.
1.
A cyclist covers 45 km in 3 hours. How far will they travel in 7 hours at the same speed?
[3 marks]2.
A painting takes 6 hours to complete by a painter. How long would it take 3 such painters working together, assuming equal efficiency?
[3 marks]3.
A train travels 240 km in 4 hours. How far will it travel in 9 hours?
[3 marks]4.
A factory produces 1000 units in 5 days. How many units are produced in 12 days?
[3 marks]D
Challenge & Extension
Answer all questions. Show your working in the grid spaces provided.
1.
A model of a building is scaled such that 1 cm on the model corresponds to 25 m on the real building. If the model's height is 8 cm, what is the actual height of the building?
[4 marks]2.
A recipe scaled up from 4 servings to 15 servings. If the original recipe uses 200 grams of flour, how much flour is needed for 15 servings?
[4 marks]3.
A photograph is scaled down so that 10 cm on the photo represents 50 km in real life. What is the real distance represented if the photo shows 6 cm?
[4 marks]E
Mixed Review & Error Analysis
Answer all questions. For the last question, identify and correct the common mistake.
1.
A car travels 150 km in 5 hours. How far will it travel in 12 hours at the same speed?
[3 marks]2.
A recipe for 6 people requires 300 grams of rice. How much rice is needed for 15 people?
[3 marks]3.
A scale drawing shows a length of 4 cm representing 12 meters in real life. What is the actual length if the drawing measures 9 cm?
[4 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