From Table 1.
Bank Numerical Reasoning Test Practice
Twenty questions on five tables from a bank's own world, with the working shown.
BY MICHAEL SHANG · SIXTEEN YEARS IN COMMERCIAL BANKING · UPDATED
// THE SHORT ANSWER
A numerical reasoning test gives you tables of figures and little time to answer questions on them: percentages, ratios, currency conversions and changes over time, usually with a calculator allowed. This practice paper sets twenty questions on five tables from a bank's own world: a loan book, branch costs, international payments, annual results and arrears. Every question is original, and none comes from any test publisher or any bank's test. Sit it against a twenty-five minute clock with the answers held to the end, or take it as practice; each answer shows the working.
BASIS Practitioner judgment from sixteen years in commercial banking, set out in How Bankers Think (Highbank Press, 2026). Every borrower on this site is a composite constructed for teaching, not a client. The market is mid-market commercial lending as practised in New Zealand and Australia; where a convention differs elsewhere, the page says so.
// HOW TO SIT IT
Answer below as practice, and each answer opens as you go. Or sit it as a test: 25 minutes, with every answer held back until you finish.
PART 1
The loan book
Four questions on one table. A calculator is fine; work each one before you look at the options.
TABLE 1 · THE LOAN BOOK
A regional bank's lending by sector at two year ends. Figures in US$m.
| Year 1 | Year 2 | |
|---|---|---|
| Agriculture | 420 | 462 |
| Commercial property | 1,150 | 1,196 |
| Manufacturing | 380 | 361 |
| Retail and hospitality | 240 | 252 |
| Other business | 310 | 329 |
| Total | 2,500 | 2,600 |
From Table 1.
What share of the Year 2 book was agriculture?
From Table 1.
Which sector grew fastest in percentage terms?
From Table 1.
If manufacturing falls by the same percentage again next year, what will it be, to the nearest US$1m?
PART 2
Five branches
Four questions on one table. A calculator is fine; work each one before you look at the options.
TABLE 2 · FIVE BRANCHES
One region's branches at the year end. Deposits and loans in US$m, annual running cost in US$000.
| Deposits | Loans | Staff | Cost | |
|---|---|---|---|---|
| Central | 120 | 96 | 20 | 2,800 |
| Harbour | 84 | 63 | 12 | 1,560 |
| Northgate | 52 | 65 | 9 | 1,080 |
| Riverside | 66 | 72 | 11 | 1,430 |
| Westfield | 45 | 27 | 6 | 690 |
From Table 2.
Which branch has the highest ratio of loans to deposits?
From Table 2.
What is the running cost per member of staff at Central?
From Table 2.
By how much do the region's deposits exceed its loans?
From Table 2.
What is Riverside's running cost as a percentage of its deposits?
PART 3
International payments
Four questions on one table. A calculator is fine; work each one before you look at the options.
TABLE 3 · INTERNATIONAL PAYMENTS
What one US dollar buys today. The bank's fee on a payment is 0.5% of the US dollar amount, with a minimum of US$15.
| Currency | Per US$1 |
|---|---|
| Euro (EUR) | 0.92 |
| Pound sterling (GBP) | 0.79 |
| Australian dollar (AUD) | 1.52 |
| New Zealand dollar (NZD) | 1.65 |
From Table 3.
A customer sends US$8,000 to Europe. How many euros arrive, before any fee?
From Table 3.
What is the fee on a payment of US$2,000?
From Table 3.
A supplier must receive GBP 3,950. How many US dollars are needed, before any fee?
From Table 3.
Through the US dollar, about how many New Zealand dollars does one Australian dollar buy?
PART 4
A bank's results
Four questions on one table. A calculator is fine; work each one before you look at the options.
TABLE 4 · A BANK'S RESULTS
Two years of a bank's results. Figures in US$m.
| Year 1 | Year 2 | |
|---|---|---|
| Interest income | 410 | 470 |
| Interest expense | 230 | 290 |
| Fee income | 60 | 66 |
| Operating costs | 132 | 138 |
| Impairment charge | 12 | 18 |
| Average interest-earning assets | 6,000 | 6,400 |
From Table 4.
What was net interest income in Year 2?
From Table 4.
What was the net interest margin in Year 2?
From Table 4.
What was the cost-to-income ratio in Year 2?
From Table 4.
How did pre-tax profit change from Year 1 to Year 2?
PART 5
Arrears
Four questions on one table. A calculator is fine; work each one before you look at the options.
TABLE 5 · ARREARS
A home loan book through one year. Figures in US$m. Arrears are balances more than 90 days overdue.
| Q1 | Q2 | Q3 | Q4 | |
|---|---|---|---|---|
| Book balance | 800 | 820 | 850 | 900 |
| Arrears | 8.0 | 9.0 | 11.9 | 13.5 |
From Table 5.
What percentage of the book was in arrears in Q3?
From Table 5.
Between which two quarters did the arrears rate rise most?
From Table 5.
By what percentage did the book grow from Q1 to Q4?
From Table 5.
If the book grows 4% next quarter and the arrears rate stays at its Q4 level, what will arrears be, to the nearest US$0.1m?
0 OF 20 ANSWERED · 0 CORRECT · 0 NOT CORRECT
// THE REST OF THE ROUND
Every question here is original; none comes from any bank's test or any test publisher.
- The interview: your seat’s questions, against a two-minute clock.
- Situational judgement, for any seat.
- The assessment centre: a whole case in forty-five minutes.
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