Measurement and Geometry
Number and Algebra
Statistics and Probability
100

A 10 by 10 grid was drawn and the numbers 1 to 100 were entered into the squares.

What number would be immediately south-west of 53?

62

100

What is the next number in the pattern?

0.3, 0.9, 1.5, 2.1, 2.7, x

3.3

100

The data below represents the number of sheep shorn by shearers at a sheep station.



Which histogram below matches this grouped data?

a.      b.       

c. 

b.   

100

Ebony used a photocopier to double the side lengths of a triangle.

She then calculated the area of each triangle and found that the enlarged triangle:

a. had the same area as the original triangle
b. had twice the area of the original triangle
c. had 4 times the area of the original triangle
d. had 6 times the area of the original triangle

c. had 4 times the area of the original triangle

100

These patterns are made using square tiles.

How many square tiles will be needed to build the 20th pattern?

77

100

This diagram shows the number of gizmos that had faults in switch A, B or C.

How many gizmos had a fault in only one of the switches?

27

100

This parallelogram is divided into two equal triangles by the black diagonal line.

What is the area of the parallelogram? 

1000 m2

100

Carina helped sell jewellery at the markets and earned 10 cents for every dollar she sold of the sales.

If she sold $456 worth of jewellery, what did she earn?

$45.60

100

The measure that best describes the difference between these two sets of data is:

a. the mode

b. the median 

c. the mean 

d. the range

c. the mean

100

9 m3 of topsoil is spread across a lawn with 12 m in length and 7.5 m wide. How deep is the layer of topsoil (in m). 

0.1 m

100

What is the mass of the cereal in the smaller packet?

1.2 kg

100

The table below shows all the possible totals when two dice are tossed.

If two dice are thrown, which of the following statements is correct?

a. A sum of 7 or 10 is less likely than a sum of 8 or 12.

b. An even sum is more likely than an odd sum. 

c. A sum greater than 7 is more likely than a sum less than 7. 

d. A sum greater than 7 has the same probability as a sum less than 7.

d. A sum greater than 7 has the same probability as a sum less than 7.

100

Should lines l and m be shown to be parallel in this diagram? Give reasons.

Yes, because the two marked angles are co-interior as they are supplementary.

100

It started to rain at 4 pm on 29th April and didn’t stop raining until 11 am on 3rd May.

For how long did it rain?

3 days 19 hours

100

On three Science exams, Jonathon had a mean mark of 60%. After doing one more examination, Jonathon's mean mark rose to 65%.

For this last examination, Jonathon must have scored:

80%

100

A ship sailed NE for 12 nautical miles. It changed course by rotating 180° clockwise.

What was the new direction?

SW

100

In a class of 40 students,  have brown eyes, 5 students have green eyes and the rest have blue eyes.

What percentage of the students in the class have blue eyes?

12.5%

100

What is the shortest perimeter you can have if you join 12 squares together and each square is 1 cm by 1 cm?

14 cm

100

Sascha and Abby bought a $10 lottery ticket. Sascha paid $6 and Abby paid the rest. They won a prize of $25 000 and agreed to share the money according to the ratio of their contribution.

How much did Abby win?

$10,000

100

Two backpackers, Anna and Barbara, left their hostel, H, to walk around the city.

Back at the hostel, they compared their routes.

Barbara said, ‘I was tired, so I took a short cut.’

 

Who walked the shorter distance?

They both walked the same distance. 

100

 

What is the rule for this graph? 

y = x - 2

100

Find the value of x.

x = 30

100

If you entered the car park at 8:35 am and left at 11:38 am, how much would you pay for parking?

$9

100

 

Calculate the perimeter of this sector to the nearest whole centimetre.

24 cm

100

Rena earns $204.75 for working 7 hours 30 mins overtime at time-and-a-half. What is her standard hourly rate? 

$18.20