Non-Calculator Numerical (Maths) Test

numerical reasoning tests sample question

Non-Calculator Numerical Reasoning Tests are a common assessment tool employers and educational institutions use to evaluate a candidate’s numerical aptitude, problem-solving skills, and logical reasoning abilities. These tests require candidates to solve complex mathematical problems without the aid of a calculator. In this article, we will explore the importance of non-calculator numerical reasoning tests, the skills they assess, and provide tips to help you prepare and excel in these assessments.

What is a Non-Calculator Numerical Reasoning Test?

A non-calculator numerical reasoning test is designed to assess an individual’s ability to perform numerical calculations and make logical deductions without the use of a calculator. These tests typically involve solving mathematical problems involving basic arithmetic, percentages, ratios, and data interpretation. Candidates are expected to demonstrate their proficiency in mental math and apply logical reasoning to arrive at accurate solutions.

Importance of Non-Calculator Numerical Reasoning Tests

Non-calculator numerical reasoning tests are highly valued by employers and educational institutions as they provide insights into an individual’s numerical abilities and problem-solving skills. These tests assess critical skills that are essential in a wide range of professions, such as finance, engineering, data analysis, and scientific research. Strong performance in these tests can significantly enhance your chances of securing employment or admission to prestigious academic programs.

Skills Assessed in Non-Calculator Numerical Reasoning Tests

Non-calculator numerical reasoning tests evaluate various skills, including:

  1. Mental arithmetic: The ability to perform calculations quickly and accurately in your head.
  2. Numerical fluency: Proficiency in working with numbers and applying mathematical operations.
  3. Data interpretation: Skill in analyzing and drawing conclusions from numerical information presented in graphs, tables, or text.
  4. Logical reasoning: Capacity to identify patterns, make deductions, and solve problems using logical thinking.
  5. Attention to detail: The ability to spot errors or inconsistencies in numerical data.

Tips to Prepare for Non-Calculator Numerical Reasoning Tests

Preparing for non-calculator numerical reasoning tests requires practice and familiarity with different question types. Here are some tips to help you excel in these assessments:

  1. Review basic mathematical concepts: Refresh your knowledge of arithmetic, percentages, ratios, and other fundamental mathematical concepts.
  2. Practice mental calculations: Enhance your mental math skills by practicing mental calculations daily. Focus on speed and accuracy.
  3. Solve sample questions: Solve a variety of non-calculator numerical reasoning questions to familiarize yourself with different question formats and improve your problem-solving strategies.
  4. Develop data interpretation skills: Practice analyzing and interpreting numerical data presented in graphs, tables, and charts.
  5. Time yourself: Practice solving questions under timed conditions to improve your speed and time management skills.

Example Free Questions and Solutions

To illustrate the types of questions you may encounter in a non-calculator numerical reasoning test, here are a few examples along with their solutions:

  1. Percentage CalculationQuestion: What is 25% of 80?Solution: To calculate 25% of 80, multiply 80 by 0.25. The answer is 20.
  2. Ratio Comparison Question: If the ratio of boys to girls in a class is 2:3 and there are 40 students in total, how many boys are there?Solution: Divide the total number of students by the sum of the ratio parts (2 + 3). Then multiply the result by the ratio part representing boys (2/5). In this case, there are 16 boys in the class.

Here are 15 more sample questions for non-calculator numerical reasoning:

  1. If a book originally costs $80 and it is on sale for 25% off, what is the sale price?
  2. The population of a city is 500,000. If the population increases by 8% annually, what will be the population after 3 years?
  3. A container has a capacity of 2 liters. If it is filled to 75% of its capacity, how many milliliters of liquid are in the container?
  4. A company’s revenue increased by 12% from last year, reaching $500,000. What was the revenue last year?
  5. A school has a student-to-teacher ratio of 25:1. If there are 800 students, how many teachers are there?
  6. The length of a rectangle is 12 meters, and its width is 8 meters. What is the perimeter of the rectangle?
  7. A bicycle is originally priced at $350, and it is on sale for 20% off. What is the sale price?
  8. The price of a stock increased by 15% in a day. If the original price was $50, what is the new price?
  9. A recipe calls for 3 eggs, and you want to make half the recipe. How many eggs will you need?
  10. In a class of 40 students, 60% are girls. How many boys are in the class?
  11. A store offers a 15% discount on all items. If a customer purchases a product with a price of $120, what is the discounted price?
  12. A tank is filled with water up to 80% of its capacity. If the capacity of the tank is 500 liters, how many liters of water are in the tank?
  13. A company has 250 employees. If 20% of the employees are on vacation, how many employees are currently on vacation?
  14. A car travels at an average speed of 60 miles per hour. How long will it take to travel 180 miles?
  15. The price of a concert ticket increased by 10% from last year, reaching $110. What was the price of the ticket last year?

Strategies for Solving Non-Calculator Numerical Reasoning Questions

When approaching non-calculator numerical reasoning questions, consider employing the following strategies:

  1. Read the question carefullyTake time to understand the problem statement, identifying the key information and the required calculations or deductions.
  2. Break down complex problemsBreak complex problems into smaller, more manageable steps. This approach helps prevent errors and allows you to focus on one aspect at a time.

Common Mistakes to Avoid

While attempting non-calculator numerical reasoning tests, be mindful of these common mistakes:

  1. Misinterpreting the question: Rushing through the question may lead to misinterpretation and incorrect answers. Take your time to understand the problem correctly.
  2. Calculation errors: Careless mistakes during calculations can result in incorrect answers. Double-check your calculations for accuracy.

Time Management in Non-Calculator Numerical Reasoning Tests

Time management is crucial in non-calculator numerical reasoning tests. Here are some time management tips:

  1. Allocate time for each question: Read through the questions and allocate a reasonable amount of time to each based on their complexity.
  2. Prioritize easier questions: Start with questions that you find relatively easier to solve. This approach builds confidence and helps save time for more challenging problems.

How to Improve Your Performance

To enhance your performance in non-calculator numerical reasoning tests, consider the following strategies:

  1. Practice regularly: Regular practice is key to improving your numerical skills and becoming familiar with various question types.
  2. Identify your weaknesses: Focus on areas where you struggle the most and dedicate additional time to improve your skills in those areas.

Practice Resources for Non-Calculator Numerical Reasoning Tests

Several resources can help you practice for non-calculator numerical reasoning tests:

  1. Online practice tests: Various websites offer free or paid numerical reasoning practice tests that simulate real test conditions.
  2. Study guides and books: Look for study guides or books specifically designed to improve your non-calculator numerical reasoning skills.

Benefits of Practicing Non-Calculator Numerical Reasoning Tests

Practicing non-calculator numerical reasoning tests offers several benefits, including:

  1. Improved accuracy and speed: Regular practice enhances your calculation speed and accuracy, enabling you to solve problems more efficiently.
  2. Enhanced problem-solving skills: Solving a variety of numerical reasoning questions improves your analytical thinking and problem-solving abilities.


Non-calculator numerical reasoning tests are an integral part of many recruitment processes and academic assessments. You can enhance your performance in these tests by understanding the skills assessed, preparing effectively, and utilizing strategies for solving problems. Regular practice, time management, and attention to detail are key factors in achieving success. Remember to use the provided resources and seek further practice to refine your skills. Start preparing today to boost your confidence and excel in non-calculator numerical reasoning tests.


FAQ 1: Are non-calculator numerical reasoning tests difficult?

Non-calculator numerical reasoning tests can be challenging, especially if you’re not familiar with the question types or lack practice. However, with sufficient preparation and practice, you can improve your skills and perform well in these tests.

FAQ 2: How can I improve my speed in non-calculator numerical reasoning tests?

Improving speed in non-calculator numerical reasoning tests requires practicing mental math regularly. Focus on enhancing your mental calculation skills and develop strategies to solve problems more efficiently.

FAQ 3: Are there any specific techniques to solve non-calculator numerical reasoning questions?

Yes, there are specific techniques you can employ to solve non-calculator numerical reasoning questions. These include breaking down complex problems into smaller steps, identifying key information, and utilizing logical reasoning to arrive at solutions.

FAQ 4: Can I use a calculator during a non-calculator numerical reasoning test?

No, non-calculator numerical reasoning tests explicitly prohibit the use of calculators. These tests assess your ability to perform calculations mentally and rely on logical reasoning instead.

FAQ 5: What are some recommended resources for practicing non-calculator numerical reasoning tests?

There are several resources available for practicing non-calculator numerical reasoning tests. Online platforms offering practice tests, study guides, and books specifically focused on numerical reasoning can be valuable resources for improving your skills. Additionally, you can seek guidance from career or educational institutions that provide practice materials and support.