VIC Selective – Mathematics Practice Test – FREE

Find the least number, which when divided by 4, 6 and 7, leaves remainder 1 in each case?

What would be the average of 5 consecutive numbers starting from 66?

In this diagram,

What is the value of angle X?

Which number goes in the X to make the number sentence true?

5 x 12 = 15 x X

A circle is divided into four sectors, as shown.

If the Area of sector C is 90, what is the area of sector A?

In this diagram,

What is the value of angle X?

In how many ways can you rearrange the word JUMBLE such that the rearranged word starts with a vowel?

A square page is folded and folded again, as shown. A pattern is cut out of the folded page. The page is then unfolded, and placed in the same way as shown originally.

Which picture shows the cut page opened out?

Lines AB and CD are parallel. Line PQ intersects lines AB and CD as shown.

Which pair of angles are equal?

Dice A has six faces with numbers 1,3,5,7,9 and 11 on faces.

Dice B has six faces with numbers 2,4,6,8,10 and 12 on faces.

Both dice rolled together, what are the chances of getting the sum of two numbers on top faces of A and B equal to 9?

Find angle X

A letter is chosen at random from the letters of the word HIPPOPOTAMUS. What is the probability that the letter chosen is vowel?

Find angle A

Select correct option

In The Ultimate Quiz Show, a contestant must pass in the Qualifying Round or Stage -1 and then reaching Stage-2 and answering random questions from four categories in as shown in the diagram.

What is the probability of a getting a question from Category -1 for a contestant playing the quiz?

Rick drives at an average speed of 60 km/hr for 3 hrs to his parent’s house. How long will it take him to come back if he drives at 100 km/hr?

The scale is balanced.

Maria created this graph to show the favourite fruit of the students in her class.

Rose put the same information in a sector (pie) graph.
What angle should Rose use to represent the apples?

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

If a letter cube with letters from ‘a’ through ‘f’ and a cube numbered 1 through 6 are rolled together, what will be the probability of getting a letter ‘b’ and number ‘2’?

At Prime High School there are three language classes; French, German and Italian. There are 40 students in each class.
5 students study all three languages.
12 students study only German and Italian. 15 students study only French and Italian. 11 students study only French.
How many students study Only Italian at Prime High School?

Find the value of the shape

45% is the same as 99.9 out of

What is the area of the white parallelogram?

Which number should be added to the list so that the average of the numbers is 12?

3, 5, 7, 11, 13, 17, 19

One-third of the chocolates in a carton was expired. Of the number left there was enough to give two chocolates to each of five children.
How many chocolates were originally in the carton?

Find the value of the shape

What is the difference in the volume of liquid between the jars A and C?

Select the correct statement if two lines are perpendicular to the same line.

Refer to the information on the left figure, in the figure on the right C represents

45 kg – 2.5kg + 4500g = ______ kg

Mona can walk from home to school following the roads, or she can cut across a vacant block as shown in the diagram below.
Along the roads, she walks 600 metres east and 800 metres south.

How many metres less does she walk by going across the vacant block?

How many lines of symmetry a RECTANGLE has?

Rita sets his watch at quarter to nine in the morning but it loses four minutes every hour.

What time it will show at quarter past four in the evening?

The product of two numbers is 450. If the HCF of these numbers is 15, then the sum of these two numbers is:

The length of a rectangle is four times its width. If the area is 256 m² what is the perimeter of the rectangle?

Which Statement is correct?

Gina’s swimming pool is in the shape of a rectangular prism, 8 m long, 4 m wide and 1.5 m deep. How many litres of water would be needed to fill the 90% pool?

How many lines of symmetry this figure has?

Which month had most rainfall?

What is the surface area of this square base pyramid?.

Mr. Brown drove 55 km per hour for 4 hours and then 68 km per hours for 2 hours.

How many km did he drive altogether?

A store sold plates for $5 each and mugs for $3 each.
Nathan wrote the equation 5p + 3m = 75 to calculate the number of plates and mugs he could buy for exactly $75.
How many plates and mugs did Nathan buy for $75?

Select the largest number

Desmond is a dental sales representative who wants to distribute 18 brochures and 15 pamphlets to local dental offices. He wants to deliver the same combination of brochures and pamphlets to each office, without having any materials left over. What is the greatest number of dental offices Desmond can distribute materials to?

A methane molecule is a compound that contains four hydrogen atoms for every one carbon atom. If in a sample of methane there are 12500 carbon atoms, how many hydrogen atoms are there in that sample?

Both the orange and the blue stacks are of same height.

What is the height of a hexagon if the area of a blue square block is 49 cm²?

Which one of these has the same value as 20²?

Which of the following lines has a NEGATIVE GRADIENT?

When two points are not aligned vertically or horizontally, Pythagoras’ theorem can be used to find the distance between them. What is the distance between these pairs of points?

(-1, -2) and (2, 2)

Solve the following equation to find the value of pronumeral

(m – 3)/8 = 7

Find the rule for these tables of values.

What is the value of m

m² – 16m + 61=2m – 20

Expand

(m + 3n)(5m – 2n) =

Find the coordinates of all points where the given parabola and line intersect each other.

y = x² + 4x – 12
and
y = -2x -21

The area of the triangle is

Factorise the following

6ab + 10bc + 4abc

Factorise the following

7a²b³ − 4ab²