3. Numerical and Mathematical Reasoning

Our tests cover in detail the following and much more….

Maths Deductive Reasoning

Evaluate your capacity to apply general mathematical principles to reach specific, logical conclusions based on given premises.

Inductive Reasoning

Measure your ability to draw general conclusions from specific observations by identifying patterns and making logical inferences.

Data Interpretation

Evaluate your skill in interpreting and analyzing data from charts, graphs, and tables to draw logical conclusions.

Numerical Reasoning

Test your numerical problem-solving skills, focusing on basic arithmetic operations, ratios, percentages, and word problems involving mathematical reasoning.

Conditional Statements

Test your ability to analyze and interpret conditional (“if-then”) statements and their logical implications.

Data Sufficiency

Assess your ability to determine if provided data is sufficient to answer a given question or solve a problem.

Alphanumeric Series Reasoning

Test your ability to identify patterns and continue series that combine letters and numbers.

Clock – Based
Reasoning

Evaluate your understanding of time-related problems, including calculating angles and times based on clock positions.

Calendar-Based Reasoning

Test your ability to solve problems related to dates, days, and calendar calculations, including leap years and day counting.

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What are numerical and mathematical reasoning tests?

Numerical and mathematical reasoning tests are assessments designed to evaluate a candidate’s ability to understand, interpret, and manipulate numerical and mathematical information. These tests typically include questions on basic arithmetic, algebra, geometry, statistics, and data interpretation. The goal is to measure a candidate’s proficiency in handling numbers, solving mathematical problems, and making data-driven decisions.

What skills do numerical and mathematical reasoning tests assess?

Numerical and mathematical reasoning tests assess several key skills, including:

Arithmetic Proficiency: Ability to perform basic mathematical operations such as addition, subtraction, multiplication, and division accurately and quickly.
Algebraic Skills: Capability to solve equations, understand functions, and work with algebraic expressions.
Geometry and Spatial Awareness: Understanding of geometric principles, shapes, and spatial relationships.
Data Interpretation: Skill in analyzing and interpreting data from tables, charts, and graphs to draw meaningful conclusions.
Statistical Analysis: Proficiency in understanding statistical measures such as mean, median, mode, and standard deviation, and interpreting statistical data.
Problem-Solving: Ability to apply mathematical concepts to solve complex problems and make reasoned decisions based on numerical data.

Test your knowledge

1 / 52

At a party, there are a total of 200 guests. One-fifth of the guests are children and the rest are adults. If one-third of the adults are vegetarians, how many vegetarians are at the party?

a) 30

b) 40

c) 53

d) 60

2 / 52

Which of the following are examples of plastic deformation?

a) a car crash

b) squeezing a ball of silly putty

c) crushing a soft drink can

d) all of the above

3 / 52

In a beautiful country called ‘Down Under’ you can find a lot of strange animals such as the kangaroo. The following pictures represent the population of ‘roos’ in this country. Each picture represents 4 million animals. How many female roos are there?

a) 7

b) 8

c) 15

d) 32 million animals

4 / 52

How long is needed to produce 9,000 cars? A factory can produce 200 cars per day.

a) 30 days

b) 40 days

c) 45 days

d) 50 days

5 / 52

What word can be placed in the brackets so that it forms another word or phrase when tacked on to the end of the first word, and another word or phrase when placed in front of the second word? SAND ( ) WORK

a) BOARD

b) CAST

c) PAPER

d) WITCH

e) STONE

6 / 52

Which of the following contains fiber?

a) raspberries

b) chicken breast

c) steak

d) butter

7 / 52

What is the better buy? 2 pair of socks for $6 or 100 pair of socks for $200

a) 5 phones for $200

b) 12 phones for $500

c) 2 pair of socks for $6

d) 100 pair of socks for $200

8 / 52

Find the ODD one in the group

a) A

b) B

c) C

d) D

e) E

9 / 52

The band One Day Fly came out with a new record. The following line graph shows the number of albums th band sold the last couple of months. Use the information to answer the questions. If the sales in September doubled, what would be the new total for September?

a) 100

b) 125

c) 150

d) 150

10 / 52

Every year the forest rangers in the jungles of India count the number of wild elephants in their park and put their findings in a line graph. Use the information to answer the question. How many more elephants were counted in 2012 than in 2014?

a) 0

b) 10

c) 20

d) 30

11 / 52

The following picture graph shows the total savings of a group of kids in 2022. Each picture stands for a saving of $1. The survey represents their answers. Peter: 5, Maria: 7, Mike: 4, John: 5, Ronny: 3. How many more dollars do Maria and John have together compared to Mike and Ronny together?

a) 3

b) 6

c) 5

d) 4

12 / 52

Use the alphabet series A to Z as a guide to decode and find the answer to each question. Example: If the code for PIG is NJE, what is DVL the code for? (a) FKM (b) AVE (c) BZK (d) FCL (e) HNM

a) FKM

b) AVE

c) BZK

d) FCL

e) HNM

13 / 52

You prioritize the comfort and satisfaction of others, readily adjusting your own plans and desires to accommodate their wishes. This can be a valuable trait, but it can also lead to resentment and a sense of losing yourself in the process of pleasing everyone. This week highlights your people-pleasing tendencies in a situation. It's movie night with your family. Your parents suggest a classic film they haven't seen in years, while your siblings push for a new action movie. Despite secretly wanting to watch a comedy, you readily agree to the classic film, eager to make everyone happy, even if it means sacrificing your personal preference. How often do you find yourself prioritizing the desires of others, even if it means sacrificing your own preferences or needs? Do you have healthy boundaries and feel comfortable expressing your own wishes, or do you struggle to say no and end up feeling resentful?

a) I prioritize my own needs and desires and feel comfortable expressing them. I collaborate with others to find mutually agreeable solutions.

b) I might go along with someone else's plan occasionally, but I can also voice my own preferences and negotiate compromises.

c) I often prioritize the wishes of others and struggle to say no. I'm working on establishing healthy boundaries and expressing my own needs more assertively.

d) I consistently put the needs of others before my own, even when it makes me unhappy. This can lead to resentment and a feeling of inauthenticity. I need to learn to prioritize my own well-being and communicate my needs effectively.

14 / 52

The price of Adidis shares fluctuates a lot. The following graph shows the
price per Adidis share per day. Use the information to answer the question. What was the ratio of the price per share on Tuesday to that on Thursday?

a) 1:02

b) 2:03

c) 3:07

d) 3:07

15 / 52

The following line graph shows the rental price of a jet ski per hour.
Use the information to answer the questions. How much will it cost you to rent a jet ski for half an hour?

a) 15 dollars

b) 22.50 dollars

c) 30 dollars

d) 37.50 dollars

16 / 52

Alex wants to buy a pizza. He is currently waiting in line at Pizza Palace. Alex thinks, "Pizza Palace always takes 25 minutes to bake my favourite pizza. But Crispy Crust, just down the block, always takes 30 minutes. It takes less than five minutes to walk there – so I should head to Crispy Crust and then I’ll get my pizza sooner." Which sentence below shows that Alex has made a mistake?

a) Pizza Palace higher quality

b) Fashion Haven better reviews

c) Sweet Treats Bakery more

d) Tech World longer wait time

17 / 52

For a math assignment a group of students had to draw their favorite shaps. The following pictures represent their choices. How many more triangles were drawn compared to hexagons?

a) 0

b) 1

c) 2

d) 3

18 / 52

Emily is 8 years older than her brother Jack. Jack was 28 years old when their daughter Lily was born. If Lily is now 5 years old, how old is her mother Emily?

a) 35

b) 41

c) 37

d) 38

19 / 52

Find the value of ?

a) 9

b) 8

c) 7

d) 9

20 / 52

A library is open from 10:00 am to 6:00 pm every day. Each librarian works for 7 hours with a 45-minute lunch break but no other breaks. There are two librarians working in the library. What is the maximum number of books that can be checked out from the library in a day?

a) 180

b) 210

c) 240

d) 270

21 / 52

You navigate the world with a calm demeanor, rarely ruffled by the emotional storms that sweep through others. While your friends and colleagues might get excited, frustrated, or heartbroken by various events, you tend to maintain a neutral perspective. This week highlights your even-keeled nature in a situation. Your team scores a last-minute victory in a crucial game. Your coworkers erupt in cheers, hugging and high-fiving each other. You offer a smile and congratulations, happy for the win but not swept up in the emotional frenzy. How often do you find yourself remaining calm and collected when others are experiencing strong emotions? Do you struggle to connect with others on an emotional level, or do you simply express your emotions in a more muted way?

a) I'm highly empathetic and easily swayed by the emotions of others. I frequently mirror their feelings.

b) I might not show it outwardly, but I do feel emotions similar to what others experience.

c) I can understand and acknowledge the emotions of others, but I express them less intensely.

d) I don't react much to events that trigger strong emotions in others. I prioritize logic and reason over emotional responses. This can sometimes be perceived as coldness, but it's simply my natural way of processing the world.

22 / 52

A 15 cc dosage must be increased by 20%. What is the new dosage?

a) 17 cc

b) 18 cc

c) 30 cc

d) 35 cc

23 / 52

The teacher asked the students about their favorite pets. The following pictures show which pet each student liked the most. The picture shows: birds - 3, cats - 4, dogs - 3, fish - 4, rabbits - 6. How many more students like dogs than birds?

a) 0

b) 1

c) 2

d) 3

24 / 52

Some people argue that retribution is the purpose of
punishment of a person convicted of a crime, and
that therefore the punishment must in some direct
way fit the crime. Another view, the deterrence theory,
promotes punishment in order to discourage
commission of future crimes. In this view, punishment
need not relate directly to the crime committed.
However, punishment must necessarily be
uniform and consistently applied, in order for the
members of the public to understand how they
would be punished if they committed a crime. According to the passage, what would a person who believes in the deterrence theory likely support?

a) allowing television broadcasts of court proceedings.

b) non-unanimous jury verdicts.

c) early release of prisoners because of prison overcrowding.

d) a broad definition of the insanity defense.

25 / 52

Melodious is to harsh as pleasant is to ?

a) Unpleasant

b) Beautiful

c) Noisy

d) nose

26 / 52

Which of these comes next in the pattern sequence?

a) A

b) B

c) C

27 / 52

What is 0.716 rounded to the nearest tenth?

a) 0.72

b) 0.7

c) 0.8

d) 1

28 / 52

In a small country called ‘Holland’ the people love to get around on their bicycles. The following pictures represent the number of bicycles in this country. Each picture stands for 2 bicycles. How many more scooters are there compared to bicycles?

a) 8

b) 10

c) 20

d) 14

29 / 52

After school, Mia likes to visit her favourite juice stand to buy a drink. The stand sells four types of juice, which are available on different days. Mia does not like apple or lemon juice, but she will visit the stand if she can buy a drink that she likes. If today is Sunday, which juice can Mia buy?

a) Apple juice

b) Orange juice

c) Grape juice

d) Lemon juice

30 / 52

Identify the right letter/s in place of the question mark in the following questions: E G J K O Q ? (a) S (b) R (c) U (d) V (e) T

a) S

b) R

c) U

d) V

e) T

31 / 52

Divide the alphabet into two halves (11 letters each). What is the first letter in the second half?

a) M

b) A

c) B

d) C

e) D

32 / 52

If O is the middle letter, how many letters are there before it?

a) 13

b) 12

c) 11

d) 14

e) 15

33 / 52

Rachel spun a wheel and it landed on yellow. She spun it again and it landed on blue. What is the probability it will land on green on her third spin?

a) It is certain it will land on green.

b) It is most probable it will land on green.

c) The chance it lands on green is 1 in 3.

d) The chance it lands on green is 1 in 4.

34 / 52

City X is north of City Y and northeast of City W. City Y is north of City Z and west of City A. City B is east of City A. Which city is northwest of City Z?

a) City W

b) City X

c) City A

d) City B

35 / 52

We asked a group of 240 people about their favorite ice cream flavour. The bar graph
shows the flavours in percentages . Use the information to answer the question. How many respondents did not choose vanilla as their favorite flavor?

a) 180

b) 204

c) 210

d) 220

36 / 52

The perimeter of the triangle is 28 centimeters. The lengths of two of the sides are 6 cm and 12 cm. What is the length of the third side?

a) 10 centimeters

b) 18 centimeters

c) 36 centimeters

d) 46 centimeters

37 / 52

A farmer harvests his potato crop once a year. The following line graph shows the
tonnes of potato he harvested per year. Use the information to answer the questions. How much did the farmer earn on potatoes in 2013 if he gets $0.65 per kilogram?

a) $7,500

b) $9,750

c) $10,000

d) $9,750

38 / 52

How long will it take me to write a 500 words essay? I can type 4 words per minute.

a) 125 minutes

b) 100 minutes

c) 150 minutes

d) 200 minutes

39 / 52

If the code for CHAIR is KRDLS, what is SOFA the code for?

a) SOAF

b) SAOF

c) SFOA

d) SAFO

e) SOFA

40 / 52

A survey was done among a group of primary students about their favorite thing to do on a lazy Sunday. The survey represents their answers. Each student had to choose 1 favorite activity. Doing Nothing: 10, Going to Cinema: 9, Reading a Book: 6, Going to the Park: 3, Meeting Friends: 12. How many students do not prefer going to the park?

a) 20

b) 37

c) 18

d) 16

41 / 52

In a Book Store, a Book costs $2.99 , a Cassette costs $1.25, and a CD costs $2.50. How much would it cost for 3 books?

a) $8.97

b) $9.99

c) $7.50

d) $6.99

42 / 52

Whenever Jack tosses a fair coin, which of the following statements are correct? If the coin lands on heads, then the probability of getting heads again in the next toss is 0.5.

a) True

b) False

c) Can't say

d) Depends on toss

43 / 52

You struggle to maintain focus, with even minor distractions pulling you away from your tasks. This can make it difficult to complete projects efficiently and can lead to feelings of frustration and inefficiency. This week highlights your focus challenges in a situation. Determined to finish your research paper, you settle into the library with all your notes and resources. However, a notification pops up on your phone. Intrigued, you check your social media and get sucked into a scrolling vortex. Hours later, you realize you've made minimal progress on the paper, sidetracked by a series of unimportant online distractions. How often do you find yourself getting sidetracked by minor distractions, hindering your ability to focus on tasks? Are you able to develop strategies to stay on track, or do you frequently get pulled off course by irrelevant stimuli?

a) I excel at maintaining focus and rarely get distracted, even in noisy or stimulating environments.

b) I might occasionally get distracted by something interesting, but I can usually refocus quickly.

c) I struggle with distractions sometimes, but I use techniques like time management and putting my phone away to stay on track.

d) I'm easily pulled off task by even minor distractions. This can make it challenging to complete tasks efficiently. I'm actively working on developing strategies to improve my focus and minimize distractions.

44 / 52

If the code for MUSIC is NRXAL, what is SONG the code for?

a) SNGO

b) SNGO

c) SOAG

d) SNAG

e) SOGN

45 / 52

What does "oblivious" most nearly mean?

a) ignorant

b) visible

c) sinister

d) aware

46 / 52

Solve 12(84 - 5) - (3 × 54) =

a) 796

b) 54,000

c) 841

d) 786

47 / 52

Mister Clockhouse has a small but lovely organic apple orchard. The following picture graph shows the number of apples that he harvested during a couple of years. Each picture stand for 1 apple. How many apples were harvested in 2010?

a) 3

b) 6

c) 9

d) 12

48 / 52

If Z is the last letter, how many letters are there in total?

a) 26

b) 24

c) 25

d) 27

e) 23

49 / 52

The table shows the number of goals scored by four players in a soccer tournament. Jack scored 5 goals, Sarah scored 8 goals, Mike?, and Emily scored 7 goals. If the total number of goals scored by all players is 50, what percentage of the goals were scored by Mike?

a) 60%

b) 15%

c) 20%

d) 25%

50 / 52

A clerk can process 26 forms per hour. If 5,600
forms must be processed in an 8-hour day, how
many clerks must you hire for that day?

a) 26 clerks

b) 24 clerks

c) 25 clerks

d) 27 clerks

51 / 52

The table shows the cost of dry-cleaning clothes. How much would it cost to dry clean 1 skirt, 2 blouses, and 1 coat?

a) $10.95

b) $8.95

c) $9.95

d) $7.95

52 / 52

The following pictures represent the food and beverage items a busy fast food restaurant in Tokyo sold in 30 minutes. Each picture stands for 12 sold items. ice cream- 3, fries- 4, burgers- 6, drinks- 3, hotdogs- 4. How many ice creams were sold compared to burgers?

a) 1 sold items

b) 2 sold items

c) 3 sold items

d) 4 sold items

Your score is

Why do DEFENCE organizations use numerical and mathematical reasoning tests in their recruitment?

DEFENCE organizations utilize numerical and mathematical reasoning tests in their recruitment process for several reasons:

Resource Management: Effective management of resources, including personnel, equipment, and finances, requires strong numerical reasoning skills.
Operational Efficiency: Numerical reasoning is crucial for optimizing operational processes, ensuring resources are used efficiently, and improving overall mission effectiveness.
Tactical Decision-Making: Military personnel must make data-driven decisions in high-pressure situations. These tests help identify candidates capable of making such decisions.
Logistics and Planning: Defense operations often involve complex logistical planning. Mathematical reasoning skills are essential for planning and executing operations effectively.
Budgeting and Financial Management: Sound financial management is critical in defense roles. Numerical reasoning tests assess candidates’ ability to manage budgets and financial resources.
Intelligence Analysis: Military intelligence roles demand the ability to analyze numerical data, recognize patterns, and draw logical conclusions to inform strategic decisions.

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How to prepare and pass your numerical and mathematical reasoning test?

Preparing for a numerical and mathematical reasoning test involves several steps:

Understand the Test Format: Familiarize yourself with the types of questions typically asked, including arithmetic problems, algebraic equations, data interpretation, and statistical analysis.
Practice Regularly: Regular practice helps improve speed and accuracy. Use sample tests and practice questions to hone your skills.
Review Basic Concepts: Brush up on basic mathematical concepts, including arithmetic, algebra, geometry, and statistics, to ensure a strong foundation.
Use Practice Tests: Take practice tests to simulate the actual test environment. This helps you become comfortable with the format and timing.
Analyze Mistakes: Review your practice test results to identify areas of weakness. Focus on understanding and correcting mistakes to improve performance.
Stay Calm and Focused: Maintain composure during the test. Read each question carefully and avoid rushing through the answers.

Numerical and Mathematical Reasoning Tests Tips

Read Questions Carefully: Pay close attention to the details in each question. Misinterpreting information can lead to incorrect answers.
Show Your Work: Write down your calculations and reasoning. This helps in reviewing your answers and ensures accuracy.
Use Estimation: When appropriate, use estimation to quickly check the reasonableness of your answers.
Break Down Problems: Divide complex problems into smaller, more manageable parts to simplify the solution process.
Practice Mental Math: Improve your mental math skills to increase speed and efficiency in solving arithmetic problems.
Familiarize Yourself with Formulas: Memorize key mathematical formulas and understand when and how to apply them.
Manage Your Time: Keep track of time and ensure you allocate enough time to answer all questions.

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3. Numerical and Mathematical Reasoning

Our tests cover in detail the following and much more….

Maths Deductive Reasoning

Inductive Reasoning

Data Interpretation

Numerical Reasoning

Conditional Statements

Data Sufficiency

Alphanumeric Series Reasoning

Clock – Based Reasoning

Calendar-Based Reasoning

What are numerical and mathematical reasoning tests?

What skills do numerical and mathematical reasoning tests assess?

Test your knowledge

Why do DEFENCE organizations use numerical and mathematical reasoning tests in their recruitment?

Boost your confidence today.

How to prepare and pass your numerical and mathematical reasoning test?

Numerical and Mathematical Reasoning Tests Tips

FREE: Take a 16 Personalities test to assess your suitabilty

Here’s more proof why you should choose us:

Only from $349 109 (80% off SALE)

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Clock – Based
Reasoning