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10
Minute Time Limit

8,780
Have Taken This Test

8
Questions included

As a candidate who is about to go through the SHL numerical assessment process, your performance, **speed**, **accuracy** and **awareness** are all taken into consideration during the exam.

All of these factors will help to determine your overall test score. It is therefore important to nurture and sharpen your kills properly before taking the test.

**Start off Your Preparation with This Free Shl Numerical Test Sample**

- Any amount of practice can prove invaluable to your success
- Complete Your free sample test to assess your skill level & get your predicted score

Most of SHL's numerical reasoning questions are in a charts and tables format, so familiarising yourself with them and learning to interpret them fast is crucial for your success. We advise that you practise this type of question until you dream about it at night.

Each practice question below is followed by a thorough explanation regarding the correct answer, as well as tips for solving questions of this type, so go slow to take it all in.

But first some basics.

**Title and Headings**- will tell you what the chart/table is about, what information it presents and how it is presented.**Types of chart used to present the data**- Pie, bar, histogram, line etc.**Numerical data presentation format**- Integers, fractions, decimals, percentages etc.**Math terms to be familiarised with**- Terms such as mean, median, mode etc. what do they mean and how to use them correctly?**Macro and Micro**- Understand what each piece of the chart or table means, as well as the general theme the chart or table is associated with.**Scales**- What are the scales in which the chart or table elements are presented? (hundreds/ thousands/ percentages/ litres/ millilitres etc.)**Locate and mark the specific element/s you are asked about.**

**For example:** the revenues in July. Cross July, on the months' axis with its revenue, on the revenues' axis.

NOTE:When dealing with two-axes charts you should be aware of:Time elements(days, months, years etc.) that will mostly appear on the horizontal ("X") axis, andQuantity elementsthat will mostly appear on the vertical ("Y") axis.

**Ready to try some questions?**

- Answer each question prior to looking at the correct answer and its explanation
- SHL numerical reasoning questions tend to be complex.
**Read them carefully**

If in 2009 13.7% of earned dividends were paid to shareholders before the financial statement was made, approximately what was the original income from dividends if the proceeds from sales were 4.7 million that year?

A. £5.3m

B. £5.79m

C. £6.03m

D. £6.14m

E. £11.71m

**The correct answer is (D) - £6.14m.**

The following equation appears under the graph: Cash Flow from investments = Proceeds from sales + Dividends earned.

Company earnings are either reinvested or paid to stockholders.

Dividends are payments made by a corporation to its shareholder members.

First, find the correct value of investments in the graph. The value in **2009** was **10 million**.

You can then subtract the portion belonging to proceeds from sales according to the formula given below the graph: 10 – 4.7 = 5.3.

To find the original income from dividends, all you need to do is divide 5.3 by the remaining percentage:

100% - 13.7% = 86.3% = 0.863

5.3/0.863 = **6.14**

What was the total number of European large family cars sold in 2004?

A. 400,000

B. 1,000,000

C. 1,200,000

D. 2,000,000

E. 2,200,000

**The correct answer is (E) - 2.2 million.**

The graph presents the **number of vessels** carrying sold vehicles (minivans and SUVs) and not the number of sold vehicles.

As can be seen from the 2004 column in the graph, there were 20 × 100 **vessels** of sold minivans = 2,000 and the same number of **vessels** of sold SUVs (20 x 100 = 2,000 vessels).

500 minivans fit into one vessel. Therefore,

The number of minivans soled = 500 × 2,000 = 1,000,000.

600 SUVs fit into one vessel. Therefore,

The number of SUVs soled = 600 × 2,000 = 1,200,000.

Adding the number of large family cars sold in 2004 results in a total of 1,000,000 + 1,200,000 = 2,200,000 = **2.2 million**.

What is the ratio of the number of students who visit the Louvre museum to the number of Adults who visit Madame Tussaud's (approximately)?

A. 103:171

B. 104:143

C. 105:169

D. 101:159

E. 106:163

**The correct answer is (C) – 105 : 169.**

According to the table:

Students who visit the Louvre: 45% out of 4200 = 1,890.

Adults who visit the Madam Tussauds: 78% out of 3,900 = 3,042.

The ratio is: 1890 : 3,042.

Since you don't have this possibility in the answer-options, you will have to divide this ratio by a common denominator. When adding up the digits of each ratio number, you will see that 1,890 adds up to 18 and that 3,042 adds up to 9. This means that both numbers can surely be divided by a common denominator of 9:

210 : 338.

As can be seen, this ratio can further be divided by 2 to arrive at the correct answer:

105 : 169

*(In other words, both numbers' (1,890 and 3,042) greatest common denominator equals 18).*

If the total costs of Bared-type products were reduced by 0.7% and the sale prices of Calir-type products were increased by 0.3%, what would be the approximate profits from selling 350 units of each Calir-type product and 270 of each Bared-type product?

A. 1.277 million pounds

B. 1.173 million pounds

C. 1.336 million pounds

D. 0.867 million pounds

E. 1.272 million pounds

**The correct answer is (A) - 1.277 million pounds.**

**Step 1:**

Calculate the new costs of Bared-type products, as well as the new prices of Calir-type products **(be aware not to confuse 0.7% with 7% and 0.3% with 3%)**:

- 7% = 0.7/100 = 0.007. Therefore, a decrease in 0.7% is expressed as: 1 – 0.007
- 3% = 0.3/100 = 0.003. Therefore, an increase in 0.3% is expressed as: 1 + 0.003

Cost of Bared 120: (236+37+95)*(1-0.007) = £365.424

Cost of Bared 260: (268+37+96)* (1-0.007) = £398.193

Cost of Bared 450: (320+38+130)* (1-0.007) = £484.584

Price of Calir XC: 1,734*(1+0.003) = £1,739.202

Price of Calir XR: 2,326*(1+0.003) = £2,332.978

Step 2:

Find the profit gained from selling one unit of each product.

**profit = sell price – total cost**:

Profit from one unit of Bared 120: 792-365.424 = £426.576

Profit from one unit of Bared 260: 797-398.193 = £398.807

Profit from one unit of Bared 450: 987-484.584 = £502.416

Profit from one unit of Calir XC: 1,739.202-(408+56+240) = £1,035.202

Profit from one unit of Calir XR: 2,332.978-(432+57+256) = £1,587.978

Finally,

Calculate the **total approximate profit**:

(270*426.576)+(270*398.807)+(270*502.416)+(350*1,035.202)+(350*1,587.978)

Tip**:** in order to simplify the calculation, pull out the common factors:

[270*(426.576+398.807+502.416)]+[350*(1,035.202+1,587.978)] = 1,276,618.73 ≈ **1.277 million**

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Take Your Numerical Reasoning Skills to the Next Level.

Use **CEEC Answering technique**: **C**alculation/ **E**stimation/ **E**limination/ **C**ombination:

**Calculation**- there are cases where you need to fully calculate what you are being asked in order to get at the correct answer.**Estimation**- sharpen your estimation skills- especially (but not solely) when the use of a calculator is forbidden. using estimations as a shortcut can be of great value. You might be able to eliminate some of the answer-options based on rough estimations, thus saving a considerable amount of time.

Differentiate questions in which estimation can be of valuable use, from those where it can't (e.g. answer-options of very close values, questions which requires for an accurate answer-value etc).

**Elimination**- Go over the answer options and eliminate those that stand out as incorrect.**Combination**- There is more than one technique to be used when answering a numerical reasoning question (Calculating & Eliminating / Estimating & Eliminating etc.)

You can see CEEC in action, implemented on example questions below:

In which age range is the total number of entrances to social networking websites the second highest?

A. 13-19

B. 20-29

C. 30-39

D. 40-49

E. 50-59

**The correct answer is (B): 20-29**

**In this case, in order to solve the question quickly and correctly, use the combination of calculation and estimation:**

**Using calculation** – adding the total numbers of entrance to social networks, you get (in millions):

Ages 13-19: 5.1 + 5.5 = 10.6

Ages 20-29: 6.3 + 6.7 = 13

Ages 30-39: 8.5 + 4.9 = 13.4

**Using estimation** - you can see that there is no need to calculate the sum of the other two age ranges because we can see that their numbers are far smaller.

Therefore, the second highest total number of entrances belongs to ages 20-29.

Which brewery produced the least in 2004?

A. Uxbridge, UK

B. Malmo, Sweden

C. Torino, Italy

D. Ottawa, Canada

E. Canberra, Australia

**The correct answer is (D): Ottawa, Canada.**

**Here are some of the CEEC techniques used to solve the question:**

__Using calculation only:__

In order to determine which brewery produced the least in 2004, you need to use the 2005 Monthly Output ad the Total Output as a Percentage of 2004.

Since you are not told otherwise, you can assume the monthly output for any brewery is the same throughout the year, which means the brewery with the smallest monthly output will also be the one with the smallest yearly output.

From this you can create the following equation:

Monthly Output 2005 = Monthly Output in 2004 X Total Output as a Percentage of 2004

**This equation can be converted to:**

Monthly Output in 2004 = Monthly Output in 2005 / Total Output as a Percentage of 2004

Using the equation, you can find the monthly output for each brewery (since the data for each is in thousands of liters, you can omit the thousands from the calculation):

** Uxbridge, UK:** 12,000 / 120% = 12,000 / 1.2 = 10,000

** Malmo, Sweden:** 1,200 / 90% = 1,200 / 0.9 = 1,333.33

** Torino, Italy:** 8,000 / 70% = 8,000 / 0.07 = 11,428.57

** Ottawa, Canada:** 1,000 / 80% = 1,000 / 0.8 = 1,250

** Canberra, Australia:** 4,500 / 110% = 4,500 / 1.1 – 4,090.91

**Therefore, the answer is Ottawa, Canada. **

** - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - **

__Using a Combination of Estimation & Elimination:__

**Shortcut:** You can time by using estimation to eliminate some of the answer options.

For the 2004 output to be low, the 2005 output should be as low as possible and the Total Output as a Percentage of 2004 should be as high as possible.

Malmo and Ottawa’s low outputs stand out (with a fair Total Output as a Percentage of 2004).

Therefore, you can eliminate all other options.

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**Complexity -**SHL tests tend to be complex and require your attention to details.**Job-Specific tests -**SHL offers several numerical reasoning tests compatible with a variety of positions and job levels (including graduate__,__management__,____and__operational__)__.**Heterogeneity -**SHL numerical reasoning tests may differ greatly in terms of the number of questions and the time limit. Note that our SHL tailored prep packs take into account the components and characteristics of the specific test they target and structure your practice material and mock test accordingly.**Holism -**Time limit applies to the whole test (and not per question). In most cases, you will be given between 25-35 minutes to complete the test.**Appearance -**SHL numerical reasoning questions mostly appear in the form of graphs and/or of tables, which will:**a)**Be followed by multiple-choice questions relating to the data presented and**b)**Present you with numerical data.**Statistically one -**Most questions consist of one graph/table (Some may exceptionally consist of more).**Sharing -**Usually two to four questions relates to the same graph/table.**The magic five -**Most questions consist of five distractors.

Answering SHL numerical reasoning questions often requires you to demonstrate basic numerical aptitude and to perform calculations involving fractions, percentages, ratios, exponents, conversions etc. Therefore, assimilating the following tips might serve you greatly in your preparation process:

The use of a calculator on SHL's numerical tests is not always allowed. It is highly recommended to find out whether its use is permitted or not and prepare for the test accordingly;

**In case the use of a calculator is not allowed:**Practice the required maths techniques such as basic arithmetic's operations, averages, percentages__,__ratios__,__exponents, square roots etc. Check out the 2 guides in the links above to refresh your maths skills and close your knowledge gap. For strengthening your mental arithmetic check out this site.**In case the use of a calculator is allowed:**Master your skills in operating it; Aside from the basic arithmetic operations, learn how to use its various, more advanced, formulas and operations such as exponents, square roots, factorial, memory Get on top of this issue with our guide on how to use a calculator.

At the start of your test you should check whether moving backward and forward through the questions is possible/permitted.

**In case it is permitted**, answer the questions on your own preferable order.**However**, while doing so, mark questions you haven’t answered yet, so you won't miss any of them.

SHL's numerical tests have a time limit upon completion of the entire test. Learn how to manage your time per question, within that time limit.

- In case moving backward and forward through the questions is permitted, answer easy questions first. This will allow you extra time to work on the more difficult sections. However, don't forget to go back to the questions you skipped.
- In case the questions' points-value is stated on the test, focus your time on questions that are worth the most points.
- Wear a watch/stop-watch to your test – since you won't be able to bring cell-phone in your test and having a clock hanged on the wall is not guaranteed, wearing a watch will allow you sticking to your time budget.
- Although sticking to your time budget is very important, it's also important not to rush yourself through the questions. After all, your goal is not only answering as many questions as you possibly can but answering them correctly.

Hence, if you went over the test and budgeted your time, don't rush yourself through the test. Part of a successful time-management is setting your own pace, to avoid the risk of making critical mistakes. - Expect the unexpected- take into consideration that although well prepared for the test, you may seldom stumble upon unfamiliar question-format. Knowing that in advance will help you to avoid anxiety and approach this question more calmly, increasing your chances to answer it correctly.

On SHL's numerical tests** Don't leave questions unanswered**. You can find tips for making educated guesses (such as estimation and elimination of answers) on the Solving Strategies and techniques section below.

SHL's numerical questions are multiple-choice with five answer-options per question, on average and only one correct answer. **Choose your answers wisely**.

The SHL scoring system is comparative- meaning that your test score is based upon comparing your performance to those of the other candidates who took the test. This competition-like scoring system should inspire you to perform well above average on your test. You can read about SHL Scoring in more detail here.

**1) Introduction** - Introducing you with SHL numerical reasoning test:

- Test material - what math-topics does the test include.
- Questions style, format, structure, etc.
- Answering style.

**2) Reflection** - of how you currently cope with numerical reasoning questions:

- What your strengths and weak areas are.
- What needs to be done in order to improve your performances and overcoming obstacles.

**3) Feedback** - Providing you with feedback in the form of a score-report informing you:

- How well you did on the free test.
- On which questions you failed to answer correctly.

**4) Explanation** - Providing you with detailed answer explanations to each question:

- Stimulating your learning process.
- Clarifying how beneficial can pre-test preparation be for you.

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