BSEP Mathematical Problem Solving & Number Operations 5

Question 1

An employee's salary increased from $42,000 to $46,200. What percentage raise did they receive?

Accepted Answer

10%

Answer

(46200 − 42000) / 42000 × 100 = 4200/42000 × 100 = 10%.

Question 2

What is the value of √144 + √25?

Accepted Answer

17

Answer

√144 = 12 and √25 = 5; 12 + 5 = 17.

Question 3

A class of 30 students has a test average of 78. If 5 more students join and their average is 82, what is the new overall average?

Accepted Answer

78.6

Answer

(30×78 + 5×82) / 35 = (2340 + 410) / 35 = 2750 / 35 ≈ 78.6.

Question 4

Which of the following is a rational number?

Accepted Answer

0.333...

Answer

0.333... = 1/3, which can be expressed as a fraction of two integers.

Question 5

A pipe fills a tank in 6 hours. A second pipe fills it in 4 hours. Working together, how long will they take to fill the tank?

Accepted Answer

2.4 hours

Answer

Combined rate = 1/6 + 1/4 = 2/12 + 3/12 = 5/12 per hour; time = 12/5 = 2.4 hours.

BSEP - Basic Skills Education Program Practice Test