Algebra
Measurement
Financial Maths
Statistics
100

What is the value of  x in the equation  (5-x)/3=6 

A. -13

B. -3

C. 3

 D. 13

A

100

The diagram represents a field.
 

What is the area of the field, using four applications of the Trapezoidal’s rule?

A. 105 m²

B. 136 m²

C. 210 m²

D. 420 m²

A. 105

100

BRAIN BREAK! Visual Puzzle:

Can you guess what phrase is being represented by this puzzle?


Travel overseas

100

This box-and-whisker plot represents a set of scores.
 

What is the interquartile range of this set of scores?

(A)  1

(B)  2

(C)  3

(D)  5

C. 3

200

The weight of a steel beam, w, varies directly with its length, ℓ.

A 1200 mm steel beam weighs 144 kg.

Calculate the weight of a 750 mm steel beam.

90kg

200

The capacity of a bottle is measured as 1.25 litres correct to the nearest 10 millilitres.

What is the percentage error for this measurement? 

0.4%

200

Billy worked for 35 hours at the normal hourly rate of pay and for five hours at double time. He earned $561.60 in total for this work.

What was the normal hourly rate of pay?

(A)  $7.02

(B)  $12.48

(C)  $14.04

(D)  $16.05

B

200

BRAIN BREAK!Logo Challenge:

Name the companies/brands whose logos are shown below.

BIC

Beats

Adidas 

Paypal

300

BRAIN BREAK! Riddle:

If you say my name, you will break me. What am I?

Silence


300

The time in Melbourne is 11 hours ahead of Coordinated Universal Time (UTC). The time in Honolulu is 10 hours behind UTC. A plane departs from Melbourne at 7 pm on Tuesday and lands in Honolulu 9 hours later.

What is the time and day in Honolulu when the plane lands? 

7am Tuesday

300

An asset is depreciated using the declining-balance method with a rate of depreciation of 8% per half year. The asset was bought for $10 000.

What is the salvage value of the asset after 5 years?

A. $1749.01

B. $4182.12

C. $4343.88

D. $6590.82

C

300

The dot plots show the height of students in Year 9 and Year 12 in a school. They are drawn on the same scale.
 


 

Which statement about the change in heights when comparing Y9 to Y12 is correct?

A. The mean increased and the standard deviation decreased.

B. The mean decreased and the standard deviation decreased.

C. The mean increased and the standard deviation increased.

D. The mean decreased and the standard deviation increased.

A

400

Chris started to make this pattern of shapes using matchsticks.
 

 
 

If the pattern of shapes is continued, which shape would use exactly 486 matchsticks?

(A)   Shape 96

(B)   Shape 97

(C)   Shape 121

(D)   Shape 122

C. Shape 121

400

A total of 11 400 people entered a running race. The ratio of professional runners to amateurs was  3:16. All the professional runners completed the race while 600 of the amateurs did not complete the race.

For those who completed the race, what is the ratio, in its simplest form, of professional runners to amateurs?

A. 1:2

B. 1:5

C. 1:8

D. 1:19


B. 1:5

400

A person owns 1526 shares with a market value of $8.75 per share. The total dividend received for these shares is $1068.20.

Calculate the percentage dividend yield. 

8%

400

Christina has completed three Mathematics tests. Her mean mark is 72%.

What mark (out of 100) does she have to get in her next test to increase her mean mark to 73%? 

76