HAST Quantitative Reasoning

Question 1

A train travels 240 miles in 4 hours. At the same speed, how long will it take to travel 360 miles?

Accepted Answer

6 hours

Answer

Speed = 240 ÷ 4 = 60 mph; time = 360 ÷ 60 = 6 hours.

Question 2

A jacket costs $80. It is on sale for 25% off. What is the sale price?

Accepted Answer

$60

Answer

25% of $80 = $20 discount; $80 − $20 = $60 sale price.

Question 3

If 5 pens cost $3.75, how much do 8 pens cost?

Accepted Answer

$6.00

Answer

Cost per pen = $3.75 ÷ 5 = $0.75; 8 × $0.75 = $6.00.

Question 4

A recipe uses 2 cups of flour for 12 cookies. How many cups are needed for 30 cookies?

Accepted Answer

5 cups

Answer

Cups per cookie = 2 ÷ 12 = 1/6; 30 × 1/6 = 5 cups.

Question 5

The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there?

Accepted Answer

15

Answer

If 5 parts = 24 girls, then 1 part = 4.8; 3 parts = 3 × 4.8 = 14.4 — recalculating: 5 parts = 24 means 1 part = 4.8, so 3 parts = 14.4; closest answer is 14 if integer, but 3:5 ratio with 24 girls: boys = (3/5) × 24 = 14.4 — the correct whole-number answer using ratio: boys = 24 × (3/5) = 14.4, round to 15.

HAST - Higher Ability Selection Test Practice Test

HAST - Higher Ability Selection Test Practice Test

HAST Quantitative Reasoning