Free numerical reasoning practice for banking applicants

Eight questions on two data sets, in the data-table style of the online numerical tests many banks set early in their applications. Pick an answer for each, then check them all at once to see the working.

We wrote every question ourselves: the companies, deals and figures are made up. Each answer is worked out in code from the tables, so the marking is consistent. Have a calculator ready.

Northgate Group (fictional): revenue by division, £ million

Division Q1Q2Q3Q4
Advisory 48.052.561.257.8
Markets 84.079.491.6103.3
Asset management 36.538.139.041.7
Retail banking 62.460.963.366.8
  1. By what percentage did Markets revenue change from Q1 to Q4?
  2. What share of the group's total Q3 revenue came from Advisory?
  3. If Retail banking revenue grows by the same percentage from Q4 to next year's Q1 as it did from Q3 to Q4, what will next year's Q1 revenue be?
  4. Across the whole year, how much Asset management revenue was there for every £1 of Advisory revenue?

Three fictional acquisitions and the exchange rates used to value them

Deal Currency Value (millions, local currency)
Project Alder EUR 842
Project Birch USD 1,160
Project Cedar CHF 615
Currency Units per £1
EUR 1.16
USD 1.27
CHF 1.12
  1. What is Project Birch worth in pounds sterling?
  2. In pounds sterling, how much bigger is the largest of the three deals than the smallest?
  3. The adviser on Project Alder charges a fee of 1.8% of the deal value. What is the fee in pounds sterling?
  4. Before Project Alder completes, the euro weakens: the number of euros £1 buys rises by 5% from the table. What is the deal worth in pounds sterling now?
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How to get faster on these questions

  • Read the units first. "Units per £1" means you divide to get pounds.
  • Percentage change is the difference divided by the starting value, not the end value.
  • Convert everything to one currency before you compare or subtract.
  • Look at the options before you calculate. Several are the result of a common slip, so a rough estimate often rules most of them out.