Numerical Reasoning Flashcards
21 cards from real MSAP practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 20 Numerical Reasoning flashcards as text
A store reduces a $120 item by 15%. What is the sale price?
Answer: $102.00
A 15% discount means you pay 85% of $120: 120 × 0.85 = $102.00.
What is 3/8 expressed as a decimal?
Answer: 0.375
Dividing 3 by 8 gives 0.375.
A worker earns $18 per hour and works 40 hours per week. What is the annual salary over 52 weeks?
Answer: $37,440
18 × 40 × 52 = $37,440 annual salary.
If 5 workers complete a job in 12 days, how many days would 4 workers take at the same rate?
Answer: 15 days
Total work = 5 × 12 = 60 worker-days; 4 workers need 60 ÷ 4 = 15 days.
What is 125% of 80?
Answer: 100
125% of 80 = 80 × 1.25 = 100.
A train travels 240 miles in 3 hours. What is its average speed in miles per hour?
Answer: 80 mph
Speed = Distance ÷ Time = 240 ÷ 3 = 80 mph.
Which fraction is equivalent to 0.6?
Answer: 3/5
0.6 = 6/10, which simplifies to 3/5.
A map uses a scale of 1:50,000. If two towns are 8 cm apart on the map, what is the actual distance in kilometers?
Answer: 4 km
8 cm × 50,000 = 400,000 cm = 4 km.
If 3 apples cost $1.50, how much do 10 apples cost at the same rate?
Answer: $5.00
Each apple costs $1.50 ÷ 3 = $0.50; 10 × $0.50 = $5.00.
A recipe requires 2.5 cups of flour for 12 cookies. How much flour is needed for 30 cookies?
Answer: 6.25 cups
2.5 × (30 ÷ 12) = 2.5 × 2.5 = 6.25 cups.
The ratio of boys to girls in a class is 3:5. If there are 40 students in total, how many are boys?
Answer: 15
Boys make up 3/8 of the class: 3/8 × 40 = 15.
A car uses 8 liters of fuel per 100 km. How many liters are needed for a 450 km journey?
Answer: 36 liters
8 × (450 ÷ 100) = 8 × 4.5 = 36 liters.
A job pays $25 per hour plus a $50 daily bonus. What is the total pay for working 7 hours in a day?
Answer: $225
25 × 7 = $175 in hourly pay, plus $50 bonus = $225.
A container holds 75% of its capacity when it contains 60 liters. What is the full capacity of the container?
Answer: 80 liters
If 60 liters = 75%, then full capacity = 60 ÷ 0.75 = 80 liters.
A student scored 68, 74, 81, and 79 on four tests. What score is needed on a fifth test to achieve an average of 76?
Answer: 78
Target total = 76 × 5 = 380; 380 − (68 + 74 + 81 + 79) = 380 − 302 = 78.
An investment of $5,000 earns 4% simple interest per year. What is the total value after 3 years?
Answer: $5,600
Simple interest = 5,000 × 0.04 × 3 = $600; total value = $5,000 + $600 = $5,600.
A store sells 3 items for $7.50. How much would 2 items cost at the same unit rate?
Answer: $5.00
Unit price = $7.50 ÷ 3 = $2.50; 2 × $2.50 = $5.00.
A population of 20,000 grows by 5% in one year. What is the population after one year?
Answer: 21,000
20,000 × 1.05 = 21,000.
A box contains 12 red, 8 blue, and 5 green marbles. What fraction of the marbles are blue?
Answer: 8/25
Total marbles = 12 + 8 + 5 = 25; blue fraction = 8/25.
A 6% sales tax is added to a $45 purchase. What is the total cost?
Answer: $47.70
Tax = $45 × 0.06 = $2.70; total = $45.00 + $2.70 = $47.70.
How this page was made: written with AI tools and published by Nathan Beja, founder of Practice Test Geeks, who is responsible for its content. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy
Sources & references
Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy