Number
Algebra
Index Laws
Measurement
Ratios
100

Evaluate -6 + 9

3

100

What is the coefficient of x in 6xy + 2x - 4y2 + 3

2

100

Evaluate 53

125

100

Convert the measurement to the units given in brackets 2cm (mm)

20 mm

100

In a pencil case there are 6 coloured pencils, 2 black pens, 1 red pen, 5 textas, 3 lead pencils, and a ruler. Write the ratio of lead pencils to coloured pencils

3 : 6  (Or simplified to 1 : 2)

200

Evaluate  5 - 13

-8

200

If x=2, what is 3x + 5?

11

200

Simplify the expression m2 x m5

m7

200

Find the perimeter of a triangle with two sides of 5m and one side of 3m

13m

200

Simplify the following ratio 75 : 100

3 : 4

300

Round this decimal to three decimal places  3.57964

3.580

300

Simplify this expression 3a + 5b - a

2a + 5b

300

Simplify the expression 3m7 x 4m

12m8

300

Find the area of a triangle with a base of 18m and a height of 7 m

63m2

300

Simplify the ratio by first converting to the same units

2cm : 8 mm

5 : 2

400

Evaluate -81 divided by -27

3

400

Simplify this expression 9a x 4b

36ab

400

Simplify m5 divided by m3

m2

400

Find the perimeter of a circle with a diameter of 20mm, round your answer to two decimal places

62.83mm

400

Divide $80 into the ratio 7 : 9

$35 and $45

500

Evaluate 0 x (-2 + 11 x (-3)) + (-1)

-1

500

Factorise fully 12x + 3xy

3x(4 + y)

500

Simplify (2a2)3

8a6

500

Find the length of the hypotenuse for a right angled triangle with side lengths of 24 cm and 7 cm

25 cm

500

How far does Siri ride her bike if she rides at 4.5km/h and rides for 90 minutes?

6.75km