Free HAST Mathematical Reasoning Questions and Answers

Question 1

If x +2 = 7, what is the of x?

Accepted Answer

5

Answer

To solve the equation x + 2 = 7, the goal is to isolate the variable 'x'. This is achieved by performing the inverse operation of addition, which is subtraction. Subtracting 2 from both sides of the equation (x + 2 - 2 = 7 - 2) results in x = 5.

Question 2

What is the next number in the sequence: 2, 4, 8, 16, ___?

Accepted Answer

32

Answer

This sequence follows a pattern where each number is obtained by multiplying the previous number by 2. Starting with 2, the sequence progresses as 2x2=4, 4x2=8, and 8x2=16. Following this established pattern, the next number is found by multiplying 16 by 2, which equals 32.

Question 3

A rectangle has a length of 10 cm and a width of 4 cm. What is the area of the rectangle?

Accepted Answer

40 cm²

Answer

The area of a rectangle is calculated using the formula: Area = Length × Width. Given a length of 10 cm and a width of 4 cm, multiplying these values (10 cm × 4 cm) yields an area of 40 cm². The unit for area is always squared.

Question 4

If a train travels 60 kilometers in 1.5 hours, what is its average speed in kilometers per hour?

Accepted Answer

40 km/h

Answer

Average speed is calculated by dividing the total distance traveled by the total time taken. In this scenario, the train travels 60 kilometers in 1.5 hours. Dividing 60 km by 1.5 hours (60 / 1.5) gives an average speed of 40 kilometers per hour.

Question 5

A box contains 4 red balls, 5 blue balls, and 2 green balls. If one ball is picked at random, what is the probability that it is blue?

Accepted Answer

1/2

Answer

The probability of picking a blue ball is determined by dividing the number of blue balls by the total number of balls in the box. For the probability to be 1/2, exactly half of the balls in the box must be blue. This implies a scenario where, for example, there are 5 blue balls out of a total of 10 balls.

HAST - Higher Ability Selection Test Practice Test

HAST - Higher Ability Selection Test Practice Test

Free HAST Mathematical Reasoning Questions and Answers