VIC Selective – Mathematics Practice Test – FREE

Find the value of the shape

Find the value of the shape

The scale is balanced.

A rectangle has a length (2x + 3) units, where x is a variable. The width of the rectangle is (x + 1) units.
What is the value of x if the perimeter of the rectangle is equal to 32?

What is the missing number?

Find angle X

What would be the supplementary angle of 74^o?

In this diagram,

What is the value of x?

Samantha recorded temperature at every hour for her school project. She put all data in a Stem-and-Leaf plot.

What is the mode of the data she collected?

Peter drives at 60 kmph for one hour and the 45 kmph for the next two hours. What is his average speed?

Average cost of 5 apples and 4 mangoes is $36. The average cost of 7 apples and 8 mangoes is $48. What is the total cost of 24 apples and 24 mangoes?

-2.5 x 5 – (-1.9) =

3.1 x (2 -0.9) =

4.2 – (0.1 – 7.8) =

In a lottery, there are 10 prizes and 25 blank tickets. A lottery is drawn at random. What is the probability of getting a prize?

In an examination, a candidate is required to pass all five different subjects. The number of ways he can fail is:

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red is:

What is the probability of picking a vowel from the word EXPERIMENT?

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 -3 for a contestant playing the quiz?

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.

Which of the following event has the highest probability?

The y intercept of the graph could only be:

Which set of coordinates lie inside the shaded area?

The midpoint of a line segment (or interval) is the point that cuts the segment in half. What is the midpoint of the line segment joining following pairs of points?

(-4, 1) and (-6, 3)

The graph shows the favourite fruit for Year 4 Students.

Which one is the most popular fruit among students?

In the below diagram,
The orange circle represents numbers divisible by 3
Green circle represents numbers divisible by 5
Blue circleOrange circle represents numbers divisible by 3
represents numbers divisible by 7 and

Whole numbers can be placed in different sections of the diagram, marked from A to H. Where would you place 31 in this diagram?

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

If eight more students like cricket than tennis; how many students like badminton?

Find the rule for these tables of values.

If x = 4 and y = 7,
find the value of

3x − 5y

A square transparent sheet has a pattern on it as shown in the picture. How would the pattern appear when the transparent sheet is folded at the dotted line?

In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?

Four squares are placed as shown in the picture.

What is the area of one blue triangle?

A circle is divided into four sectors, as shown.

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

Factorise the following

−8k²mn³ + 2km²n

Which of the following sticks can be used to make a right-angle triangle?

In a street on one side, every third house is painted red while on the opposite side every fourth house is red. The street has 25 houses on each side and the first house on both sides is painted red.
How many houses facing each other on the street are painted red?

Two balls A and B rotate along a circular track. Ball A makes 2 full rotations in 20 minutes. Ball B makes 5 full rotation in 45 minutes. If they start rotating now from the same point, when will they be at the same starting point again?

How many lines of symmetry this figure has?

How many lines of symmetry a Regular OCTAGON (8 equal sides) has?

How much 12 Pencils, 24 Notebooks, 2 Erasers and a Pencil Case will cost?

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

11 x 8 = 4 x X

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

20 x 4 = 5 x X

10 min 43 sec – 6 min 58 sec =

How heavy is the object?

Maria is making 8 blueberry muffins, each with a weight of 85 g.
To make the muffins, she weighs two eggs and puts them in a bowl with flour, double the weight of the two eggs. After that, she takes sugar, half the weight of the two eggs and butter weighing a quarter of the weight of the two eggs. Finally, Maria adds blueberries, weighing half the weight of the two eggs. Finally, Maria adds blueberries, weighing half the weight of the two eggs.
What was the weight of the two eggs she used, in grams?

In the rectangle below, the line MN cuts the rectangle into two regions. Find x, the length of segment MB, so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.

Max wants to estimate how much water required to fill his oval-shaped swimming pool. Max knows each identical tile at bottom of the pool has an area of 4900 cm². He completes corner tiles for calculation as shown below.

How much water in m³ is required to fill the swimming pool to a depth of 1.5 m? (π =22/7)

Daryl receives an amount of money from his grandparents for his birthday. He spends 70% of the money on buying a new music CD. He then spends 50% of the remaining money, buying more credit for his mobile phone. After these two purchases, Daryl has $6 remaining.

How much money did Daryl’s grandparents give him for his birthday?

30% is the same as 16.5 out of

Find the coordinates of all points where the given circle and line intersect each

x² + (y + 4)² =20
and
x – 3y = 2

What is the value of m

m² + 2m = 3

Joe drove at a speed of 45 km per hour for a certain distance. He then drove at a speed of 55 km per hour for the same distance. What is the average speed for the whole trip?

If container A can hold 15 litres of liquid; how much container C will hold?

Robert has 50 cents, 20 cents and 10 cents coins in 2:3:4 ratio. If he has $8.00 in total, how many 20 cents coins he has?

Select correct option

If (7)^(a-1) = (1/7)^(a-3); then a=

Which one of these has the same value as 20²?

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 area of the triangle is