Calculating Distances: Real-world Applications
Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating distances using map scales, with real-world shopping and money contexts to enhance understanding.
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Calculating Distances: Real-world Applications
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A shopping mall map has a scale of 1 cm : 50 m. If a corridor on the map measures 3.2 cm, what is its actual length in meters?
[2 marks]2.
A store displays a sign that says the sale price is 25% off. If the original price is $120, what is the discount amount?
[2 marks]3.
On a map, 2.5 cm represents a distance of 1.25 km in real life. What is the scale factor of the map in km per cm?
[2 marks]4.
A store's price tag shows a 15% discount on an item costing $80. What is the discounted price?
[2 marks]B
Problem Solving & Reasoning
Answer all questions clearly, showing all working steps.
1.
A map uses a scale of 1 cm : 200 m. If two shops are 4.5 cm apart on the map, what is the real distance between them in kilometers?
[3 marks]2.
A shopper plans to buy a TV priced at $600. During a sale, there is a 20% discount, and the store additionally offers a 5% cashback on the discounted price. What is the final amount the shopper pays?
[4 marks]3.
A city map has a scale of 1 cm : 2 km. If a route on the map measures 7.2 cm, what is the actual length of the route in kilometers?
[3 marks]4.
A product originally costs $150, but a store offers a 12% discount plus an additional $10 off for members. What is the final price for a member?
[3 marks]C
Real-world Applications
Solve these contextual problems related to shopping and money.
1.
A map of a shopping center has a scale of 1 cm : 100 m. If the shopping mall is 2.4 cm across on the map, what is the actual width of the mall in meters?
[3 marks]2.
A customer has $250 to spend. If they buy items costing $70, $85, and $50, how much money will they have left?
[3 marks]3.
A store advertises a 30% discount on a jacket originally priced at $120. What is the sale price?
[2 marks]D
Challenge & Extension
Try these more difficult problems to extend your understanding.
1.
A city map has a scale of 1 cm : 5 km. A new highway is planned to be 35 km long. How long should the highway be on the map in centimeters?
[3 marks]2.
A person wants to buy a laptop priced at $1,200. They have a coupon for 18% off. After the discount, they also receive a cashback of $50. What is the total amount paid?
[4 marks]E
Mixed Review & Error Analysis
Attempt these questions and review the common errors shown.
1.
A map scale is 1 cm : 250 m. If a shopping complex measures 6.4 cm on the map, what is its real size in meters? (Watch for calculation errors.)
[3 marks]2.
Common mistake: students forget to convert units correctly when calculating real distances from map scales. Identify and correct the mistake in the following solution: 'Scale: 1 cm : 100 m. Map length: 3 cm. Real length: 3 x 100 = 300 m.'
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet