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Numerical Reasoning Test

Numerical Reasoning

Multiple Choice Questions

1. A total of Birr 450 is divided into equal shares. If Kate receives four shares, Kevin receives three shares, and Anna receives the remaining two shares, how much money did Kevin receive?

2. Woy. Helen paid Birr 48 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket?

3. In a hockey league, 87 players play on seven different teams. Each team has at least 12 players. What is the largest possible number of players on any one team?

4. If n−5 is an even integer, what is the next larger consecutive even integer?

5. The expression (4a+2b)−(2a−3b)−(a−b) when simplified is:

6. The numbers of products a store sold on 4 consecutive days were x, x+5, x+3x and x+12. If the daily average of the products sold was 13, what is the value of x?

7. If 2z2−5z+30<2z2+5z−15, which of the following MUST be true?

8. What is 2% of 7%?

9. A quiz consists of true and false questions. The ratio of the number of true questions to the number of false questions is 4:3. About what percent of the questions are false?

10. Jack is now 7 times as old as Jill. If 10 years from now, he will be 3 times as old as Jill, how old is Jack now?

11. What is z if 2.5% of z equals 75% of 50?

12. From 1999 to 2000, the computer sales increased by 40% and the printer sales decreased by 40%. The ratio of printer sales to computer sales in 2000 was how many times the ratio of printer sales to computer sales in 1999?

13. In a class with 25 students, 13 learn French and 18 learn Spanish and 2 do not learn either. How many students learn both French and Spanish?

14. If x+y−z=5 and x−y+z=10, which of the following statements MUST be true?
I. y>z
II. x>5
III. y>5

15. A toy factory manufactures d dolls every hour. Each doll costs c cents. How much money will the factory spend in costs for manufacturing dolls in 7 hours and 30 minutes?

16. The arithmetic mean (average) of five numbers is −5. If the sum of two of them is 50, what is the average of the other three?

Short Answer Questions

17. An agent receives a commission of 40 cents for every Birr 50 of business she procures. What percent is the agent's commission?

18. In the figure, each of the four white “petals” is formed by the intersection of two semicircles. Each of the four semicircles is drawn with its center at the midpoint of each side of the square. If the length of the side of the square is 2, what is the total area of the shaded region excluding the petals?
petal

19. An office requires P sheets of paper each month for each employee. If there are E employees in the office, for how many months will T sheets of paper last?

20. A train travels from Athena to Bareena at a constant speed of v miles per hour. If the journey from Athena to Bareena takes t hours, how many miles did it cover in the first 10 minutes?

21. A satellite in a circular orbit rotates around the Earth every 120 minutes. If the Earth's radius is 4000 miles at sea level, and the satellite's orbit is 400 miles above sea level, approximately what distance does the satellite travel in 40 minutes?

Orbit radius = 4000 + 400 = 4400 miles. Circumference = 2πr ≈ 27,646 miles. Distance in 40 min = (40/120) × 27,646 ≈ 9,205 miles.

26. What is the net profit of the company after paying a 13% yearly tax on all sale?

Sales figure for a car company in 2020

numerical reasoning test

25. Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?

64 people
Let initial passengers = x. After 6 stops: x/2⁶ = 1 → x = 64

24. n denotes the number obtained when n is rounded to the nearest tenth. For example: 4.31 = 4.3, 0.089 – 1.135 = ?


0.089 ≈ 0.1; 1.135 ≈ 1.1 → 0.1 – 1.1 = –1.0

The restaurant lost its customers after Covid-19. In 2021 its sale was again reviving.

23. Tickets to a play cost Birr $ for adults and Birr 2 for children. If 1,750 tickets were sold for a total of Birr 7,100, how many children’s tickets were sold?

Let C = children’s tickets, A = adult tickets. Equations: C + A = 1750; 2C + 5A = 7100 → C = 1100 children’s ticket

22. John buys 100 shares of stock at $100 per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and he sells his remaining 50 shares. How much did he get for the last 50?

First sale: 50 shares × $110 = $5,500. Second sale: 50 shares × $99 = $4,950

27. What is the cost price of model D?

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What Is a Numerical Reasoning Test?

A Numerical Reasoning Test is a type of assessment that measures how well you can understand, interpret, and analyze numerical data. Unlike simple math tests, it focuses on reasoning — your ability to make logical decisions using numbers, graphs, charts, and tables.

These tests are widely used by employers, universities, and public institutions to evaluate candidates’ problem-solving and analytical thinking skills. They help determine how effectively a person can work with numerical information in real-world scenarios such as budgets, reports, or data analysis.

Why Numerical Reasoning Matters

In today’s data-driven world, numbers are everywhere — in business reports, academic research, and even daily decision-making. Strong numerical reasoning skills show that you can:

  • Think logically and make data-based decisions

  • Identify trends and patterns in numerical information

  • Work accurately under time pressure

  • Communicate results with confidence

Employers value these skills because they directly relate to job performance in roles involving finance, engineering, technology, statistics, and management.

Numerical Reasoning vs. Numerical Aptitude

Although the terms sound similar, there’s a small but important difference:

TermFocusExample
Numerical Reasoning TestMeasures your ability to interpret and reason with numbersReading charts, calculating percentages, analyzing trends
Numerical Aptitude TestMeasures your basic math ability and speedAddition, subtraction, ratios, sequences
Numerical Reasoning Aptitude TestCombines both reasoning and aptitudeMixed problems requiring logic and math accuracy

If you’re preparing for job assessments or graduate admission exams, you’re more likely to face a Numerical Reasoning Test, not just a simple arithmetic quiz.

What to Expect in the Test

A typical numerical test includes multiple-choice questions based on:

  1. Data Interpretation: Reading graphs, tables, or charts and extracting useful information.

  2. Percentages & Ratios: Comparing values and understanding proportions.

  3. Currency & Exchange Rates: Real-life business-style questions.

  4. Statistics: Mean, median, mode, or basic probability.

  5. Time, Distance, and Work Problems: Logical word problems involving formulas.

Each question usually comes with limited time, testing not only accuracy but also speed and pressure management.

Example Question

A company’s revenue increased from $120,000 to $150,000 in one year.
What is the percentage increase?

Solution:
Increase = 150,000 − 120,000 = 30,000
Percentage increase = (30,000 ÷ 120,000) × 100 = 25%

This question checks your ability to quickly apply percentages in a real-world context — a key part of numerical reasoning.

How to Prepare Effectively

Here are simple yet effective steps to boost your performance:

  1. Understand the Question Types
    Familiarize yourself with charts, graphs, and data sets. Knowing what to expect reduces test anxiety.

  2. Practice Regularly
    The more questions you solve, the faster your brain recognizes patterns. Practice daily with free numerical reasoning and numerical aptitude tests.

  3. Learn Shortcuts and Formulas
    Review key math concepts like ratios, percentages, and averages. Write quick formulas on paper for easy recall.

  4. Focus on Time Management
    Most tests are timed. Learn to skip hard questions first and return to them later.

  5. Review Your Mistakes
    Understanding why you got a question wrong is more valuable than simply knowing the right answer.

  6. Stay Calm During the Test
    Numerical reasoning is not about perfection — it’s about accuracy under pressure.

Common Mistakes to Avoid

  • Guessing randomly: Always try to eliminate impossible options.

  • Rushing through questions: Accuracy matters more than completing all questions.

  • Ignoring instructions: Some tests require rounding or specific decimal places.

  • Not practicing data interpretation: Most candidates lose marks here, not in pure math.

Why Employers Use Numerical Tests

Organizations use numerical reasoning tests to identify candidates who can:

  • Make sense of complex data

  • Support decisions with evidence

  • Detect errors quickly

  • Think logically even under pressure

For example, banks use them to assess analytical thinking, while engineering firms use them to measure problem-solving accuracy. Even administrative roles today require interpreting reports and numerical results.

Numerical Reasoning and Your Future

Improving your numerical reasoning is not just about passing a test — it’s a long-term investment in your career. It strengthens logical thinking, financial awareness, and decision-making in everyday life.

If you’re planning to take an Undergraduate Admission Test (UAT), Graduate Admission Test (GAT), or a job aptitude exam, mastering this skill gives you a major advantage.

Final Tips

  • Practice under real-time conditions.

  • Focus on understanding patterns, not memorizing formulas.

  • Use online simulators from trusted platforms like Alljobtest.com to track your progress.

  • Keep your mind relaxed — confidence plays a big role in performance.

Summary

A Numerical Reasoning Test measures your ability to interpret data and think logically using numbers. It’s more advanced than a simple numerical aptitude test, requiring quick analysis and problem-solving. With consistent practice, anyone can improve and achieve a high score.

Whether you’re applying for a job, taking a university admission test, or preparing for competitive exams, mastering numerical reasoning is an essential step toward success.

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