Year 8 Topics Review

Solving Algebra

100

7x = 28

x = 4

200

3x + 8 = 14

x = 2

300

x/6 - 5 = 0

x = 30

400

25 - 3x = 37

x = -4

500

7(x + 3) = 42

x = 3

Simplifying Equations

100

-2x + 7 + x 

-x + 7

200

4x + 5x² - 2x + 12 + 3x²

2x + 8x² + 12

300

12 + 21x

3(4 + 7x)

400

7x - 6x² + x

2(4x - 3x²)

500

2x * -2x + 4x² + 5

5

Shape Formulae

100

What is the formula for the area of a triangle?

1/2 x base x height

200

What is the formula for the area of a circle?

pi x r²

300

What is the formula for the area of a parallelogram? 

base x height

400

What is the formula for the circumference of a semicircle

pi x r + 2r
OR
1/2 x pi x d + d

500

What is the formula for the area of a trapesium?

h(a+b)/2

Probability

100

What is the sample space for randomly selecting one of the school houses? 

{Incana, Ornata, Serrata, Formosa}

200

What is the sample space for choosing a multiple of 7 less than 30?

{7, 14, 21, 28}

300

In a game of pool, you sink a random ball on the break - what is the theoretical probability that it is not the 8 ball?

14/15

400

A piece from a 6x6 jigsaw puzzle is chosen at random. What is the probability that it is NOT an edge piece?

4/9 (simplified from 16/36)

500

A class contains 35 students, of whom 14 are male. What is the probability that a chosen student is not male.

3/5 (from 21/35)

Statistics

100

Statistically speaking, a 'census' asks what group of people?

Everyone

200

Is 'Breakfast Cereal Brands' a categorical or numerical variable?

Categorical

300

What is the mean of the following set of numbers?

1, 3, 4, 5, 9, 9, 11

6

400

What is the median of the following set of numbers?

10, 12, 12, 15, 15, 17, 18, 18, 18, 19

16

500

What is the mean of the following set of numbers?

1, 3, 12, 15, 16, 23, 24, 24, 25, 28, 31, 35, 36

21