Numerical Reasoning Cheat Sheet 2026

The 30 highest-yield Numerical Reasoning facts, distilled from real exam questions. Print it, save it as a PDF, or study it here — free, no sign-up.

1. The price of a laptop is reduced by 15%, then reduced again by 10%. What is the overall percentage reduction from the original price? → 23.5%
2. The mean of five numbers is 18. Four of the numbers are 12, 20, 24, and 16. What is the fifth number? → 18
3. Which region's project cost the least money? → West
4. A project requires 300 hours of work. Team A works at 15 hours/day and Team B at 10 hours/day. Working together, how many days will they take? → 12 days
5. Which value is closest to the square root of 200? → 14.1
6. A car depreciates by 15% per year. If it was worth $24,000 new, what is it worth after one year? → $20,400
7. A line graph shows population grew from 2.0M in 2010 to 2.6M in 2020. What was the average annual growth (in thousands)? → 60,000
8. What is the next number: 5, 10, 20, 40, 80, __? → 160
9. Which of the five national branches had the third quarter's highest average pricing per unit? → Croatia
10. Three partners invest in a business in the ratio 2:3:5. If the total investment is $50,000, how much does the partner with the middle share invest? → $15,000
11. A dog breeder typically keeps two fifths Cavaliers and one quarter Golden Retrievers. How many Golden Retrievers must this breeder have as a minimum? → 5
12. Two colleagues share a bonus in the ratio 3:5. If the total bonus is $1,600, how much does the person with the larger share receive? → $1,000
13. What is the approximate average monthly profit from selling the Blue package across all regions? → $194,000
14. A stacked bar shows total expenses of $800 with rent taking 37.5%. How much is rent? → $300
15. An item costs $75 to produce and is sold at a 40% markup. What is the selling price? → $105
16. A truck travels the first half of a journey at 40 km/h and the second half at 60 km/h. What is the average speed for the entire trip? → 48 km/h
17. Which dairy generates the most cheese blocks per average cow? → Big Cow
18. A motorboat travels 24 km upstream and 36 km downstream in equal time. If the stream speed is 4 km/h, what is the boat's speed in still water? → 20 km/h
19. A number is increased by 20% and then decreased by 20%. What is the net percentage change? → −4%
20. Sales figures (in thousands) for 5 months are: 30, 45, 28, 52, 35. What is the median? → 35
21. A store offers a 35% discount on a jacket originally priced at $120. What is the sale price? → $78
22. A company issues bonds worth $50,000 at a 6% coupon rate payable semi-annually. What is each semi-annual coupon payment? → $1,500
23. Two numbers are in the ratio 3:5. If their sum is 96, what is the larger number? → 60
24. Which of the following bundles sold the second fewest in the two northern regions? → Black
25. A pie chart shows that 72° represents the 'Travel' category. What percentage of the total does Travel represent? → 20%
26. A pie chart shows department budgets: Marketing 25%, IT 30%, HR 15%, Operations 20%, R&D 10%. If the total budget is $2,000,000, how much is allocated to IT? → $600,000
27. A bag contains 4 red, 3 blue, and 5 green balls. What is the probability of randomly picking a blue ball? → 1/4
28. Three workers can complete a job in 8 days. How many days would it take 6 workers to complete the same job? → 4 days
29. An investment of $5,000 earns simple interest at 6% per year. What is the total value after 3 years? → $5,900
30. A sequence follows the pattern 3, 7, 15, 31, 63. What is the next term? → 127