What does the Finance area cover in SQA National 5 Applications of Maths?

The Finance area covers personal and everyday money. It includes analysing factors affecting income such as gross pay, overtime and deductions (income tax, National Insurance and pension) to find net pay, analysing a budget to find a surplus or deficit, working with profit, loss and VAT, determining the best deal from several offers by comparing unit costs, converting between currencies using an exchange rate, and investigating the impact of interest rates through simple interest, compound interest, hire purchase and loans.

What is the difference between simple and compound interest?

Simple interest adds the same amount each year, calculated as principal times rate times time. Compound interest earns interest on previous interest, so the balance multiplies by the same factor each year and grows faster. For example, 1000 pounds at 5% for 3 years gives 150 pounds of simple interest, but compound interest gives about 157.63 pounds because each year's interest is added to the balance before the next year's interest is worked out. Compound interest also models appreciation and depreciation.

How do you find the best deal in National 5 Applications of Maths?

Reduce every offer to a common basis, usually the unit cost, then compare. Divide the price by the quantity to find the cost of one gram, one item or one litre, and choose the offer with the lowest unit cost. For offers with a fixed charge plus a rate, such as phone tariffs, work out the full cost for the quantity in the question and compare the totals. Always state the conclusion with its reason, because the justified decision earns a mark.

How do you convert between currencies?

Use the exchange rate the right way round. To convert from pounds to a foreign currency, multiply by the rate; to convert back to pounds, divide by the rate. For example, with one pound equal to 1.25 dollars, 240 pounds is 240 times 1.25 equals 300 dollars, and 80 dollars is 80 divided by 1.25 equals 64 pounds. A sense-check helps: if a pound buys more than one unit of the foreign currency, a pound sum becomes a larger foreign number and a foreign sum becomes fewer pounds.

ScotlandApplications of Mathematics

SQA National 5 Applications of Mathematics Finance: income, budgeting, best deal, currency, interest and borrowing

A deep-dive SQA National 5 Applications of Mathematics guide to the Finance area. Covers analysing income from gross pay, overtime and deductions, analysing a budget for a surplus or deficit, profit, loss and VAT, determining the best deal by unit cost, converting currency, and the impact of interest rates through simple and compound interest, hire purchase and loans.

Generated by Claude Opus 4.815 min readNational 5Updated 2026-06-15

Reviewed by: AI editorial process; not yet individually human-reviewed

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What the Finance area actually demands
Income, pay and deductions
Budgeting, profit, loss and VAT
Best deal and currency
Interest, savings and borrowing
How the Finance area is examined
Check your knowledge

What the Finance area actually demands

Finance is the heart of Applications of Mathematics, the area that sets it apart from National 5 Mathematics. It models real money: pay, budgets, deals, exchange rates and the cost of saving or borrowing. The examiners reward careful reading of a context, accurate percentage and proportion work, and decisions that are justified, not just calculated. This guide walks through every topic of the area, then sets out the patterns the SQA repeats. Each topic has a matching dot-point page with practice questions; this overview ties them together.

Income, pay and deductions

The area starts with analysing factors affecting income. Gross pay is basic pay (hours times rate) plus overtime, paid at a higher rate such as time and a half. Net pay is gross pay minus all deductions: income tax, National Insurance and pension contributions. The skill is reading a payslip, separating additions from deductions, and combining them correctly. Salaries convert between annual, monthly and weekly by dividing by $12$ or $52$ .

Budgeting, profit, loss and VAT

Analysing a budget totals income and expenditure, then compares them: income above expenditure is a surplus, below it a deficit. The figures must be brought to the same period before comparing. Profit is selling price minus cost price, with percentage profit taken as a percentage of the cost price. VAT at $20\%$ multiplies a net price by $1.20$ .

Best deal and currency

Determining the best deal compares offers on a common basis, usually the unit cost (price per gram, item or litre), and justifies the choice. Currency conversion multiplies by the exchange rate to go from pounds to a foreign currency and divides to come back, keeping the rate the right way round.

Interest, savings and borrowing

The final strand investigates the impact of interest rates. Simple interest adds the same amount each year; compound interest multiplies by $(1 + \tfrac{r}{100})$ each year and so grows faster. Appreciation uses a multiplier above $1$ , depreciation below $1$ . For borrowing, the total cost of hire purchase is the deposit plus all the instalments, usually more than the cash price.

How the Finance area is examined

A typical SQA profile for Finance:

Context reading. Worded money problems must be turned into the correct calculation, often over several steps.
Justified decisions. Best-deal and budget questions reward stating the conclusion with its reason.
Multi-step totals. Net pay, hire purchase and budgets each combine several figures, so missing one costs marks.

Check your knowledge

A mix of recall and method questions covering the Finance area. Attempt them, then check against the solutions.

A worker earns $\pounds 10$ per hour for $37$ hours, plus $3$ hours at time and a half. Find the gross pay. (3 marks)
Income is $\pounds 1500$ and expenditure is $\pounds 1340$ . State the surplus or deficit. (2 marks)
Add $20\%$ VAT to a net price of $\pounds 60$ . (2 marks)
With $\pounds 1 = \$ 1.30 $, convert$ \pounds 50$ to dollars. (2 marks)
Find the value of $\pounds 1000$ after $2$ years at $3\%$ compound interest. (3 marks)

Solutions to check-your-knowledge questions

Step 1: Find the gross pay including overtime

Gross pay is basic pay (hours at the standard rate) plus overtime pay at the higher rate. Calculating each part separately and adding them avoids the error of multiplying all hours by the overtime rate:

\text{Basic: } 37 \times 10 = \pounds 370; \quad \text{overtime rate: } 1.5 \times 10 = \pounds 15, \text{ so } 3 \times 15 = \pounds 45; \quad \text{gross} = \pounds 415.

Step 2: Determine whether the budget shows a surplus or deficit

A surplus means income exceeds expenditure; a deficit means expenditure exceeds income. Subtracting expenditure from income gives the result, and the sign tells you which applies:

1500 - 1340 = \pounds 160 \text{ surplus.}

Step 3: Add VAT at 20% to the net price

VAT at 20% is added on top of the net price. Multiplying the net price by 1.20 adds the 20% and gives the gross (VAT-inclusive) price in one step:

60 \times 1.20 = \pounds 72.

Step 4: Convert pounds to dollars using the exchange rate

To convert from pounds to dollars, multiply by the exchange rate, because each pound buys that many dollars. The rate is given as pounds 1 equals dollars 1.30:

50 \times 1.30 = \$65.

Step 5: Calculate the value after 2 years at 3% compound interest

Compound interest multiplies the balance by the same factor each year, so interest is earned on interest already added. The annual multiplier for 3% is 1.03, and applying it twice gives the balance after 2 years:

1000 \times 1.03^2 = \pounds 1060.90.

Sources & how we know this

SQA National 5 Applications of Mathematics Course Specification — SQA (2023)
SQA National 5 Applications of Mathematics - Course overview and resources — SQA (2023)