Year 9 Adv Maths

Products & Factors

100

The expansion of (x+3)²

x²+6x+9

200

Factorise x²-9

(x-3)(x+3)

300

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

3x²-x-4

400

Factorise x²+7x+12

(x+3)(x+4)

500

Factorise fully 8x²- 36

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

Area and Volume

100

Find the volume of a cube with side length 5cm

125 cm³

200

Find the volume of a cylinder with height 8cm and radius 4cm. Give your answer in terms of Pi

128 pi cm³

300

Find the volume of a square based pyramid with a height of 12cm and the side length of the base is 5m. 

100cm³

400

Find the volume of a hemi-sphere with diameter 8cm. 

134cm³

500

Calculate the surface area of a rectangular prism with domensions 5cm by 8cm by 10cm

340 cm²

Data & Probability

100

What is the probability of rolling a number less than 3 on a standard dice

1/3

200

There are 50 marbles in bag, 40% are blue, 1/10 are red and the rest are yellow. Find the probability of choosing a red or a blue marble. 

0.5

300

There are 25 students in a class. Everyone studies Art or Geography or both. If 17 students study geography and 14 students study Art, Find the probability that a student selected at random studies both subjects. 

6/25

400

Give a set of 5 scores with a range 6, a median of 5. and IQR of 5

1, 1, 5, 5, 7

500

The letters from the word ALGEBRA are written on cards and two cards are selected at random without replacement. Find the probability that the letters are both A. 

1/21

Equations

100

Solve x²=25

x=5 or x=-5

200

Solve 9 - 5x < 34

x >-5

300

Solve 3(x - 4) = 2(x + 5)

x=22

400

Solve x² - 6x + 8 = 0

x=2, x=4

500

Solve (2x+3)/2  + x/3 = 5

x = 21/8

Mrs Burke

100

Mrs. H's first name

Roslyn

200

How many children does Mrs H have?

2

300

Where do Mrs Burke's 2 children live?

Cairns and New York City

400

What do Mrs Halmy and Mrs Burke have in common? 

eldest children went to primary school together 

500

Name 1 of Mrs Burke's favourite hobbies

photography

basketball

mountain biking