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// EXAM HALL20 QUESTIONS · 25 MINUTES

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 1Year 2
Agriculture420462
Commercial property1,1501,196
Manufacturing380361
Retail and hospitality240252
Other business310329
Total2,5002,600
PART 1 · QUESTION 1

From Table 1.

By what percentage did commercial property lending grow?

BACK TO TABLE 1 ↑
PART 1 · QUESTION 2

From Table 1.

What share of the Year 2 book was agriculture?

BACK TO TABLE 1 ↑
PART 1 · QUESTION 3

From Table 1.

Which sector grew fastest in percentage terms?

BACK TO TABLE 1 ↑
PART 1 · QUESTION 4

From Table 1.

If manufacturing falls by the same percentage again next year, what will it be, to the nearest US$1m?

BACK TO TABLE 1 ↑

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.

DepositsLoansStaffCost
Central12096202,800
Harbour8463121,560
Northgate526591,080
Riverside6672111,430
Westfield45276690
PART 2 · QUESTION 5

From Table 2.

Which branch has the highest ratio of loans to deposits?

BACK TO TABLE 2 ↑
PART 2 · QUESTION 6

From Table 2.

What is the running cost per member of staff at Central?

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PART 2 · QUESTION 7

From Table 2.

By how much do the region's deposits exceed its loans?

BACK TO TABLE 2 ↑
PART 2 · QUESTION 8

From Table 2.

What is Riverside's running cost as a percentage of its deposits?

BACK TO TABLE 2 ↑

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.

CurrencyPer US$1
Euro (EUR)0.92
Pound sterling (GBP)0.79
Australian dollar (AUD)1.52
New Zealand dollar (NZD)1.65
PART 3 · QUESTION 9

From Table 3.

A customer sends US$8,000 to Europe. How many euros arrive, before any fee?

BACK TO TABLE 3 ↑
PART 3 · QUESTION 10

From Table 3.

What is the fee on a payment of US$2,000?

BACK TO TABLE 3 ↑
PART 3 · QUESTION 11

From Table 3.

A supplier must receive GBP 3,950. How many US dollars are needed, before any fee?

BACK TO TABLE 3 ↑
PART 3 · QUESTION 12

From Table 3.

Through the US dollar, about how many New Zealand dollars does one Australian dollar buy?

BACK TO TABLE 3 ↑

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 1Year 2
Interest income410470
Interest expense230290
Fee income6066
Operating costs132138
Impairment charge1218
Average interest-earning assets6,0006,400
PART 4 · QUESTION 13

From Table 4.

What was net interest income in Year 2?

BACK TO TABLE 4 ↑
PART 4 · QUESTION 14

From Table 4.

What was the net interest margin in Year 2?

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PART 4 · QUESTION 15

From Table 4.

What was the cost-to-income ratio in Year 2?

BACK TO TABLE 4 ↑
PART 4 · QUESTION 16

From Table 4.

How did pre-tax profit change from Year 1 to Year 2?

BACK TO TABLE 4 ↑

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.

Q1Q2Q3Q4
Book balance800820850900
Arrears8.09.011.913.5
PART 5 · QUESTION 17

From Table 5.

What percentage of the book was in arrears in Q3?

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PART 5 · QUESTION 18

From Table 5.

Between which two quarters did the arrears rate rise most?

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PART 5 · QUESTION 19

From Table 5.

By what percentage did the book grow from Q1 to Q4?

BACK TO TABLE 5 ↑
PART 5 · QUESTION 20

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?

BACK TO TABLE 5 ↑

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.