Are you smarter than an 8th grader?
Problem-solving with Ratio
Maps
Scale
Maps & Speed
100

What is the area of a rectangle with length 8 cm and width 3 cm?

24 cm²

100

The mother bear is fed 4 fish for every 2 fish that her cub is fed. How many fish would the cub get if the mother is fed: 10 fish?

5

100

Name 3 cities that run along Highway 401?

Any three of: Pickering, Ajax, Whitby, Oshawa, Bowmanville, etc.

100

A toy bus is 10 cm long. The real bus is 1,000 cm. What’s the scale?

1:100

100

If 1 cm on a map equals 5 km in real life, how far is 3 cm on the map?

15 km

200

Solve for x: 2x + 5 = 13

x = 4

200

To make 1 litre of jam, I use 45 strawberries.

How many strawberries do I need to make 2 litres?

90 strawberries

200

What does a map scale tell you?

How distances on the map relate to real-life distances.

200

A drawing of a chair is 4 cm tall. The real chair is 80 cm tall. What’s the scale?

1:20

200

The map scale is 1:100,000. If a student measures 4 cm between two cities on the map, how many kilometers is the real distance?

100,000 cm = 1 km 

1 x 4 = 4 km

300

What is the square root of 144?

12

300

There are 2 parents for every 7 students at the disco. The disco has 21 students. How many parents are there?

3 parents

300

If a map scale is 1:500,000, how many km is 2 cm on the map?

10km


300

If a toy house is 12 cm tall and the real house is 720 cm, what is the scale?

1:60

300

A car travels at 60 km/h. How long will it take to travel 180 km?

 3 hours

400

A jacket originally costs $80. It’s on sale for 25% off. With 13% tax added after the discount, what’s the final price?

  • 25% of $80 = $20 discount → $60

  • 13% of $60 = $7.80 tax

  • Final price = $67.80

400

Balin got $1.20 pocket money and saved 40 cents. Thorin got $3 and saved $2.

Who saved the largest proportion of pocket money? And by how much?

Thorin and by $1.60.

400

A map scale is 1:1,000,000. What’s the real distance if you measure 3 cm?

30km


400

A model airplane is 9 cm long. The real airplane is 27 meters long. What’s the scale?

Convert 27 meters to cm → 2,700 cm → Scale = 1:300

400

A cyclist is going 25 km/h. If the distance between Town A and Town B is 87.5 km, how long will the trip take in minutes?

87.5 ÷ 25 = 3.5 hours

500

A train travels 60 km in the first hour, 90 km in the second hour, and 75 km in the third hour. What is the average speed of the train over the 3 hours?

Total distance = 60 + 90 + 75 = 225 km
Total time = 3 hours
Average speed = 225 ÷ 3 = 75 km/h

500

A printing press prints 120 sheets in 3 minutes. How many sheets are printed in 1 and half hours?

120/3 = 40 sheets, 

40 x 90  = 3600 prints

500

On a map, 6 cm equals 24 km. What’s the scale ratio?

1:400,000

500

A doll’s map shows a 3.5 cm long path. In real life, that path is 1.4 km long. What’s the scale?

Convert 1.4 km to cm → 140,000 cm → Scale = 1:40,000

500

The scale on a map is 1:200,000. If the real distance is 16 km, how many centimeters would that be on the map?

Convert 16 km → 1,600,000 cm
1,600,000 ÷ 200,000 = 8 cm

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