Simple Scaling: Challenge & Extension
Mathematics
Grade 7
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet exploring simple scaling through a variety of questions, from procedural practice to challenging real-world problems, designed for extension and deeper understanding.
Worksheet Preview
Full preview • 14 questions
Simple Scaling: Challenge & Extension
Subject: MathematicsGrade: Grade 7
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
If a recipe for 4 people requires 200 grams of flour, how much flour is needed for 10 people?
[2 marks]2.
A car travels 150 km in 3 hours. How far will it travel in 8 hours at the same speed?
[2 marks]3.
A map scale indicates that 1 cm represents 5 km. How many kilometers does 7.5 cm on the map represent?
[2 marks]4.
A printer prints 150 pages in 30 minutes. How many pages can it print in 2 hours at the same rate?
[2 marks]B
Target Level Practice
Answer all questions carefully, explaining your reasoning where needed.
1.
A factory produces 1200 units of a product in 8 hours. How many units does it produce in 20 hours at the same rate?
[3 marks]2.
A cyclist covers 60 km in 2 hours. How far will she travel in 5 hours at the same speed?
[2 marks]3.
A model airplane is scaled down so that its length is 15 cm, representing a real airplane of 60 meters. What is the scale factor?
[2 marks]4.
A recipe scaled up from 4 servings to 10 servings requires 250 grams of sugar. How much sugar is needed per serving in the original recipe?
[2 marks]5.
A small model of a building is 12 cm tall, representing a real building that is 48 meters tall. What is the scaling ratio?
[2 marks]C
Challenge & Extension
Tackle these advanced questions. Show all your working clearly.
1.
A photograph is enlarged by a scale factor of 3. If the original photo is 8 cm wide, what is the width of the enlarged photo?
[3 marks]2.
A car’s speed increases from 60 km/h to 90 km/h. If the time to travel a certain distance decreases proportionally, by what factor does the travel time change?
[3 marks]D
Mixed Review
Answer the following questions to consolidate your understanding of simple scaling.
1.
A scale model of a ship is 1.2 meters long. The actual ship is 150 meters long. What is the scale ratio of the model to the real ship?
[2 marks]2.
A sports field measures 90 meters by 60 meters. A scaled drawing shows the field as 9 cm by 6 cm. What is the scale used in the drawing?
[2 marks]E
Error Analysis
Review the common mistake in the following question and correct it.
1.
A student calculates that doubling the length of an object doubles its area. Identify the mistake and explain the correct relationship.
[3 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