Selective Test Mathematical Reasoning

Question 1

What is 3/4 + 2/3?

Accepted Answer

17/12

Answer

Finding a common denominator of 12: 9/12 + 8/12 = 17/12.

Question 2

If 40% of a number is 60, what is the number?

Accepted Answer

150

Answer

If 40% = 60, then 1% = 1.5, so 100% = 150.

Question 3

What is the value of 2³ × 5²?

Accepted Answer

200

Answer

2³ = 8 and 5² = 25; multiplying gives 8 × 25 = 200.

Question 4

Simplify the fraction 36/48 to its lowest terms.

Accepted Answer

3/4

Answer

The GCF of 36 and 48 is 12; dividing both by 12 gives 3/4.

Question 5

A train travels 180 miles in 3 hours. What is its average speed?

Accepted Answer

60 mph

Answer

Speed = Distance ÷ Time = 180 ÷ 3 = 60 mph.

(Selective Test) Selective High School Placement Test Practice Test