ISAT - International Student Admissions Mathematical Problem-Solving Questions and Answers

Question 1

A car travels from Town A to Town B at an average speed of 60 km/h and returns from Town B to Town A along the same route at an average speed of 40 km/h.
What is the average speed for the entire round trip?

Accepted Answer

48 km/h

Answer

50 km/h

Answer

52 km/h

Answer

45 km/h

Question 2

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. If two marbles are drawn at random without replacement, what is the probability that both are blue?

Accepted Answer

1/11

Answer

1/9

Answer

2/21

Answer

1/12

Question 3

A stock's price increases by 20% in January and then decreases by 20% in February. What is the net percentage change in the stock's price from the beginning of January to the end of February?

Accepted Answer

A 4% decrease

Answer

A 4% increase

Answer

No change

Answer

A 1% decrease

Question 4

A circle is inscribed perfectly within a square. What is the ratio of the area of the circle to the area of the square?

Accepted Answer

π/4

Answer

π/2

Answer

4/π

Answer

2/π

Question 5

A painter can paint a house in 6 days, and their apprentice can paint the same house in 12 days. If they work together for 2 days, what fraction of the house remains unpainted?

Accepted Answer

1/2

Answer

1/3

Answer

3/4

Answer

1/4

Question 6

If 'n' is an odd integer, which of the following expressions must result in an even integer?

Accepted Answer

3n + 5

Answer

n + 2

Answer

2n + 1

Answer

n - 4

A car travels from Town A to Town B at an average speed of 60 km/h and returns from Town B to Town A along the same route at an average speed of 40 km/h.What is the average speed for the entire round trip?

A car travels from Town A to Town B at an average speed of 60 km/h and returns from Town B to Town A along the same route at an average speed of 40 km/h.
What is the average speed for the entire round trip?