Year 8 Review

Algebra

100

Expand:

2(x + 3)

2x + 6

200

Expand and simplify:

3(m + 2) + 4m

7m + 6

300

Factorise:

5a + 10b - 15c

5(a + 2b - 3c)

400

Expand and simplify:

3(x - 4) - 2(x + 1)

x - 14

500

Expand and simplify:

(2y + 5)(3y - 2)

6y² + 11y - 10

Equations

100

m + 5 = 11

m = 6

200

1 + m/4 = 4

m = 12

300

7 - 2m = -5

m = 6

400

5a - 1 = 3a + 4

a = 5/2

500

5(m - 1) - 2m = 2

m = 7/3

Percentages

100

Convert 0.52 to a fraction and percentage

13/25 = 52%

200

Find 23% of 200

46

300

Increase $475 by 45%

$688.75

400

Calculate the pre-GST price of an item that sells for $5682

$5165.45

500

An item was bought for $580 and then sold at a 14% increase. It was then sold again at a 23% loss. Calculate the final price as a percentage of the original.

86.64%

Measurement

100

Calculate the perimeter of a rectangle with side lengths 5cm and 10.7cm

P = 31.4 cm

200

A rhombus has diagonals 4 cm and 7 cm. Calculate the area.

A = 14 cm²

300

The two shorter sides of a right-angled triangle are 6 cm and 8 cm. Calculate the perimeter of the shape.

P = 24 cm

400

A trapezium has height 3.8 cm, and parallel lengths of 4.2 cm and 7.7 cm. Calculate the area.

A = 22.61 cm²

500

A square is enclosed by 4 equilateral triangles on each side. The side length of the square is 5 cm and the total length from one end of the shape to the other is 13 cm. Draw a diagram & calculate the area of the entire shape.

A = 65 cm²

Circles

100

A circle has diameter 12.5 cm. Find the radius

6.25 cm

200

Find the circumference of a circle with radius 4 cm. Leave as exact.

C = 8 pi cm

300

Find the area of a quadrant with radius 3.7 cm (2 dp.)

A = 10.75 cm²

400

A quarter of a circle is cut out and replaced with a square of side length 3.5 cm. Draw a diagram and calculate the area of the shape (2 dp.)

A = 41.11 cm²

500

A semi-circle is placed on top of a square with side length 12 cm. Calculate the total perimeter of the shape (2 dp.)

P = 54.85 cm