Numerical Test Tutorial – SHL type formatOne of only two ‘numerical test’ tutorials you need for Graduate & Internship jobs Graduate test solutions by www.graduatemonkey.com marketing and consulting firms use SHL (test system) as part of their graduate recruitment and industrial placement/internship programmes: 3 categories of timed tests used: numerical.g.Numerical Test Structure and Use SHL is one of the biggest recruitment test providers supplying blue chip companies globally Many banks. verbal and abstract reasoning Cannot go back to change the answer once you have clicked “Next” Non-interactive but somewhat challenging at the higher end (e. retail banking numeracy tests that tend to be simpler than investment banking or Big4 accounting firm tests Corporate / Investment Banking Test ** 21 questions 21 minutes Can’t go back to change answers Tailor made for some top banks ** Incl. some Big4 accounting firm tests . Investment Banks) Numerical Reasoning Test Standard Non-Banking Numeracy Test * 18 questions 25 minutes Can’t go back to change answers Usually non-interactive * Incl. audit. Data Context 2: Line charts: inflation indices . Numerical Test: Data Context 2 Line charts: inflation indices Inflation indices are used to measure change in the prices of a group of goods and services monthly. what would be the 4th quarter inflation index for Producer Prices? (101/102)*100 Q1 Q2 Q3 Q4 (102/101)*100 (100/102)*100 Retail Price Index (RPI) Producer Price Index (PPI) Consumer Price Index (CPI) Wholesale Price Index (WPI) (102*100)/101 Cannot say . Comparing several indices 106 104 102 100 98 96 94 Question 4 If the inflation indices were rebased at 100 again at the 3rd quarter. quarterly or annually. Retailer Price Index and Consumer Price Index are the most common indices. Retailer Price Index and Consumer Price Index are the most common indices. what would be the 4th quarter inflation index for Producer Prices? Solution to Question 4 Task: Figure out how rebasing would affect the 4th quarter figure for Producer Price Index (PPI). E. Solution: Rebasing an index from a certain quarter (month or year) simply means dividing all the index figures by the value given for that month. quarterly or annually.g. 106 104 102 100 98 96 94 Q1 Q2 Q3 Q4 Retail Price Index (RPI) Producer Price Index (PPI) Consumer Price Index (CPI) Wholesale Price Index (WPI) .04 Tip: Rebasing an index for period A means dividing all the index values by the value of A. rebasing 4th quarter PPI would be: (4th quarter PPI / 3rd quarter PPI) x 100 = (100/102)x100 = 98. Question 4 If the inflation indices were rebased at 100 again at the 3rd quarter. 3 rd quarter PPI 102 – so all the index figures will be divided by 102. then multiplying all of them by 100.Numerical Test: Data Context 2 Line charts: inflation indices Inflation indices are used to measure change in the prices of a group of goods and services monthly. then multiplying them by 100 – this is always the same.Therefore. Data Context 3: Line charts: comparing company sales by brands . 3% Everyday Value 10% Cannot say . in comparison with the previous year.Numerical Test: Data Context 3 Line charts: comparing company sales by brands Compares how the sales values of several brands have changed over time Company sales by brand 750 700 650 600 550 500 450 400 350 300 Question 5 What was the highest proportional increase in sales value. for any of the three brands? £ million British Pounds 9% 2005 2006 2007 2008 Premium 2009 2010 Finest 25% 14. £ million British Pounds 750 700 650 600 550 500 450 400 350 300 2005 2006 2007 2008 Premium 2009 2010 Finest Everyday Value . Tip: When you a graph and the question asks you to determine the biggest change in values. then first identify the steepest line or part of the line. for any of the three brands? Solution to Question 5 Task: This problem has a simple two step solution. whether it is a rise or drop. in comparison with the previous year.Numerical Test: Data Context 3 Line charts: comparing company sales by brands Compares how the sales values of several brands have changed over time Question 5 What was the highest proportional increase in sales value. First. the steepest rise occurred in the Finest brand from 2007 to 2008 period. calculate the percentage change by dividing the two figures between which the increase had occurred. look at the lines on the graph and identify the one with the steepest rise. Then. It will save you time and you could answer the test within 15 seconds. Solution: If you look closely at the lines on the graph. Data Context 4: Stacked column charts: comparing data across time . 4 12 10 Rest of World 8 6 3.9 10 years ago Now 340.000.000 240.000 Cannot say .000.2 South America Asia Pacific Europe US 1. Annual Road Travellers (100 million drivers) 14 1. in total and across divisions.000 1.000.Numerical Test: Data Context 4 Stacked column charts: comparing data across time Stacked columns typically show how several categories contributed from one period to another.000 300.8 0.1 4 2.5 1.8 0.000.9 6.5 2 0 1.6 Question 9 Over the last decade by how many drivers did the increase in in Asia Pacific region exceed the increase in European region? 24. 1 – 0.000 = 240.7 Annual Road Travellers (100 million drivers) Asia Pacific minus Europe: 3.5) = 2. Calculations: Asia Pacific: 6.4 10 8 6 4 2 0 0. in total and across divisions.8 = 0.e.7 = 2.5 2.000 12 1.1 1.4 14 The answer must be in 100’s of millions.6 Shortcut: Look at the red arrows. You just need to sum up those numbers that are positioned diagonally – then take their difference.8) – (3.5 1. Then deduct the Europe figure from the Asia Pacific one.9 US 10 years ago Now . I. (6.8 1.2 Rest of World South America Asia Pacific Europe 3.1 = 3.Numerical Test: Data Context 4 Stacked column charts: comparing data across time Stacked columns typically show how several categories contributed from one period to another.9 6.4 x 100.5 – 1.1 + 2.1 Europe: 2.000.00.2 – 3. Question 9 Over the last decade by how many drivers did the increase in in Asia Pacific region exceed the increase in European region? Solution to Question 9 Task: Calculate the differences between now and 10 years ago separately for Asia Pacific and European regions . therefore: 1.8 0.2 + 1.4 2. Data Context 5: Stacked 100% column charts: comparing sales of 2 companies . 000) . 100% stacked column typically includes sales (or other data) breakdown by divisions or products. what is the gross margin (sales minus production costs) of Unilever? 35% $2 billion $2.Numerical Test: Data Context 5 Stacked 100% columns: comparing sales of 2 companies Bar charts typically compare sales or other financial data of two or more companies.5 billion $3 billion $3.000) L'Oreal ($24.5 billion Cannot say Unilever ($8. Global Toiletry Sales: Unilever and L'Oreal 100% 80% 60% 40% 20% 25% 0% 7% 18% 26% 15% 6% 14% 10% Africa Asia Pacific South America 44% North America Europe Question 13 If production costs for L’Oreal are 2 times those for Unilever. Question 13 If production costs for L’Oreal are 2 times those for Unilever. we still have 3 unknowns in the two equations above – which cannot be solved. Global Toiletry Sales: Unilever and L'Oreal 100% 80% 60% 40% 20% 25% 35% 44% 7% 10% 26% 15% 6% 14% South America North America Europe Africa Asia Pacific 18% 0% Unilever ($8. 100% stacked column typically includes sales (or other data) breakdown by divisions or products. The chart does not contain data on production costs or gross margin for either brand. the answer must be “Cannot Say”. we need to determine if we have sufficient data to calculate the required figure. then try to build equations to determine whether you can solve the problem.Numerical Test: Data Context 5 Stacked 100% columns: comparing sales of 2 companies Bar charts typically compare sales or other financial data of two or more companies.000) . the problem cannot be solved. L’Oreal S1 (sales) – P1 (production costs) = GM1 (gross margin) Unilever S2 – P2 = GM2 P1 = 2P2 therefore S1 – 2P2 = GM1 although S1 and S2 (sales figures) are known. Tip: When you have 2 or more unknowns. If the number of unknowns exceed the number of equations. what is the gross margin (sales minus production costs) of Unilever? Solution to Question 13 Task: First. Therefore.000) L'Oreal ($24. Data Context 9: Data tables: currency exchange rates . Approximately what amount of Tenges is left over.21 24.31 190.13 0.23 26. Currency exchange rates: Tenge per currency Today's Exchange Rates* for the Kazakh Tenge Currencies Euro US Dollar Russian Rouble Chinese Renminbi Closing Point 194.65 -0.000 Tenge still owing 534.44 152.24 0.Numerical Test: Data Context 9 Data tables: currency exchange rates Currency exchange data table typically shows trading highs and lows as well change on day and the closing rate.000 euros to Kazakh Tenge at the "Day's High" rate to pay a debt of 30 million Tenges.000 Tenge left over None of the above * Rates represent number of Tenge per stated currency .59 0.21 24. opening rate equals to the closing point rate minus change on day.000 Tenge still owing 1. Typically.32 150.11 0.85 192.65 0.28 Today's Today's Change on Benchmark High Low Day Index 196.534.000 Tenge left over 1.534.15 149.81 0. or still owing. following this transaction? 534.01 -0.19 23.78 148.18 Question 24 A company changes €150. Typically.23 26.44 (today’s high rate) = 29.24 0. Approximately what amount of Tenges is left over.81 0.21 24.000 x 196.000 euros to Kazakh Tenge at the "Day's High" rate to pay a debt of 30 million Tenges. Eur corresponds to the row heading – Euro).85 192. following this transaction? Solution to Question 24 Task: First. Today's Today's Change on Benchmark High Low Day Index 196. 29. or still owing.11 0. Eur 150.18 * Rates represent number of Tenge per stated currency .g.000 Tenge The answer: 534.466.31 190.000.32 150. Today's Exchange Rates* for the Kazakh Tenge Currencies Euro US Dollar Russian Rouble Chinese Renminbi Closing Point 194. Then we need to subtract 30 million Tenge from this amount to arrive at the correct answer. Calculations: 1.000 Tenge 2.65 -0. we need to work out how much Tenge one would get for EUR 150.000 – 30.78 148. When you are asked to convert a currency amount that corresponds to row headings (e. On the other hand.44 152.21 24. Into a currency that is in the row heading.01 -0.534.00 Tenge would still be owed.000 at “Today’s High” rate.000 = .28 Tip. then you always multiply this amount by the corresponding rate in this row.19 23.13 0. then you always divide the given amount by the corresponding rate in this row.466.65 0.15 149. Question 24 A company changes €150. opening rate equals to the closing point rate minus change on day.Numerical Test: Data Context 9 Data tables: currency exchange rates Currency exchange data table typically shows trading highs and lows as well change on day and the closing rate. if you are asked to convert the main currency (which is in the title of the table such as Tenge).59 0. 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