Free Numerical Reasoning Example Questions and Answers 2024

The questions on this free Numerical Reasoning practice test are a true representation of the questions you'll face on the actual Numerical Test.

These Numerical Reasoning example questions were specifically chosen from our full Numerical Reasoning practice pack to help improve your score and ace your pre-employment process.

Good Luck!

1. Convert 310/50 to a decimal.

**Choose the correct answer:**

A. 15.1

B. 6.2

C. 3.1

D. 0.62

E. 6.1

Hence, it is a good idea to rewrite 310/50 using 100 as a denominator:

310/50 = (310x2)/(50x2) = 620/100 = 6.2

Another way to solve this item is by separating the large number into components:

310 = 300 + 10

Hence 310/50 = 300/50 + 10/50

From here we can simplify both fractions:

300/50 = 30/5 = 6.

10/50 = 1/5 = 0.2

310/50 = 6 + 0.2 = 6.2

*When solving decimal questions, it's important to understand decimal place values. Each digit in a decimal number has a different value depending on its position. *

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You can find basic math questions in a variety of tests, including the SHL Calculation Test, and the Optiver Test.

2. There is a circular outdoor ice skating rink. The machine that prepares the rink for skating at the start of the day prepares 600 square feet of rink every hour. If the circumference of the rink is 200 feet, approximately how many minutes does it take the machine to prepare the entire rink for skating at the beginning of each day?

A. 5.

B. 32.

C. 64.

D. 318.

E. 3183.

The correct answer is approximately 318 minutes.

C = 2*π*r. If the circumference of the rink is 200 feet, then the radius of the rink is 100/π.

A = π*r2, therefore the area of the rink is 10000/π.

If the machine prepares 600 square feet every hour, then it takes (10000/π)/600 = 50/3π hours in order to prepare the entire rink. Multiply this result by 60 to convert from number of hours to number of minutes: (50*60)/3π = 1000/π.

Since π≈3.14, the correct answer must be 318 minutes.

*When solving Word Problem questions, read the problem carefully. Make sure you understand what the problem is asking for. *

*Practice more Word Problems and other numerical reasoning test questions like a pro with the comprehensive Numerical preparation pack from JobTestPrep.*

3. 30 | 37 | 46 | 58 | 74 | 95 | ?

What is the next number in the series?

A. 122.

B. 27.

C. 111.

D. 126.

*When solving Number Series questions look for patterns. Try to identify a pattern in the way the numbers are increasing or decreasing, the difference between consecutive numbers, or the relationship between numbers. *

*Impress your future employer with your mastery of Number Series and other Numerical Reasoning questions, found in the JobTestPrep preparation pack*

4. In a group of 25 teenagers, 12 enjoy playing sports. What is the probability that a teenager chosen at random enjoys playing sports?

A. 0.48.

B. 0.12.

C. 0.37.

D. 0.52.

*When solving Probability questions consider the different types of probabilities: classical, empirical, and subjective. Make sure you understand the difference between these types and use the appropriate one for the problem you are solving. *

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5. Please choose the correct answer. If none of the options are the correct answer please choose answer choice e, "N".

A. 30.

B. 11.16.

C. 8.9.

D. 62.

E. N.

The correct answer is (A) - 30

This question deals with a single variable equation.

When solving a single variable equation, the goal is isolating the variable (mostly called x) in order to find its value.

The way to do that is by gathering all variable-expressions of the equation (one or more X-expressions) on one side and all numerical members of the equation on the other side. This is done by using the four operations (+, -, *, /) in the equation, as needed.

Important! Any numerical operation must be applied on both sides of the equation.

On this case, to isolate X apply the following operations to both sides of the equation:

1. Subtract 0.27

9.6/X + 0.27 - 0.27 = 0.59 - 0.27

9.6/X = 0.32

2. Multiply by X to eliminate the denominator

X*(9.6/X) = X*0.32

9.6 = 0.32X

3. Multiply by 100

100*9.6 = 100*0.32X

960 = 32X

4. Divide by 32

960/32 = 32X/32

30 = X

*Note that solving tip #1 was used in step 3, to ease the calculation process.

Solving tip #3: Re-arranging the data often helps solving the problem, without needing a calculator; e.g.:

9.6 = .32X / changing the way the data is presented

96/10 = (32/100)X / :(32/100)

(96/10) / (32/100) = X / re-arranging the data

(96x100) / (32x10) = X / re-arranging the data (see solving tip at the end of the explanation)

(96/32) * (100/10) = X / cancel down by 32 and 10

3 * 10 = X

=> X = 30

Solving tip#4: Dividing two fractions is equal to multiplying the nominator fraction by the inverse denominator fraction:

(a/b) / (c/d) = (a/b) * (d/c)

*When solving Algebra questions try to isolate the variable on one side of the equation by using inverse operations such as addition, subtraction, multiplication, and division. *

*You can find more Algebra practice questions in the JobTestPrep Numerical Reasoning PrepPack*

1 | 2 | 3 | 4 | 5 |

B | D | A | A | A |

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