Math Competition - Grade 8/9

Numbers, Variables and Equations + Geometry/Measurement

100

Evaluate.

15 + (3 + 12) x  6

What is 105?

200

Write in standard form.

7.2 x 10²

What is 7200?

300

Solve this equation:

3 + 11 =  5 + x

What is x = 9?

400

Calculate the volume of the triangular prism using the following dimensions:

b = 8 cm

h = 4 cm

l = 6 cm 

What is 192 cm cubed?

500

Calculate the surface area of the triangular prism using the following dimensions:

a = 4 cm

b= 5 cm

c = 6 cm

h = 7 cm

l = 3 cm

What is 80 cm squared?

Ratio, Rate and Percent + Data Management

100

25% of a number is 5.

What is 20?

200

A speed walker walks 2.5 km in 20 min.

a) What is her average speed in kilometres per minute?

What is 0.125 km/min?

300

Calculate the Mode of the following set of data

5, 2, 3, 9, 10, 5, 2, 8, 7, 15, 14, 17, 28, 30, 16, 19, 4, 7, 9, 11, 25, 30, 32, 15, 27, 18, 9, 10, 16, 22, 34, 19, 25, 18, 20, 17, 9, 10, 15, 35, 10

What is 10?

400

Calculate the median for the following set of data:

5, 2, 3, 9, 10, 5, 2, 8, 7, 15, 14, 17, 28, 30, 16, 19, 4, 7, 9, 11, 25, 30, 32, 15, 27, 18, 9, 10, 16, 22, 34, 19, 25, 18, 20, 17, 9, 10, 15, 35

What is 

500

Calculate the mean for the following set of data:

5, 2, 3, 9, 10, 5, 2, 8, 7, 15, 14, 17, 28, 30, 16, 19, 4, 7, 9, 11, 25, 30, 32, 15, 27, 18, 9, 10, 16, 22, 34, 19, 25, 18, 20, 17, 9, 10, 15, 35

What is 15.7?

Fractions and Decimals

100

Add: 

2/3 + 3/2

What is 10/6?

= 1 4/6

= 1 2/3

200

Subtract:

3/4 - 2/3

What is 1/12?

300

Add: 

2 2/3 + 1 1/2

What is ?

400

Subtract:

3 1/2 - 2 3/4

What is ?

500

Evaluate: 

5/6 x 2/3 

What is 10/18?

5/9

Circles

100

Calculate the diameter of a circle with radius 7 cm.

What is 14 cm?

200

Calculate the radius of a circle with diameter 50 cm.

What is 25 cm?

300

Calculate the circumference of a circle with radius 32 cm. Round to the nearest cm.

What is 201 cm?

400

Calculate the area of a circle with diameter 16 cm. Round to nearest cm.

What is 201 cm squared?

500

How is the area of a circle with radius 7 cm related to the area of a circle with diameter 7 cm? 

What is the area of the circle with 7 cm is 4 times the area of a circle with diameter 7 cm.

Grade 9

100

Classify the degree of the term:

-2a²b

What is 3?

200

Apply the power rule to solve.

[(-2)³]⁴

What is (-2)¹²?

What is 4096?

300

Simplify this expression.

6p⁷ / 3p³

What is 2p⁴?

400

Solve.

3 + 4m + 5m = 21

What is 9m = 18

             m = 2?

500

Solve.

3 (y-5) / 4 = 7 

What is y = 43 / 3