Free ATI TEAS 7 Mathematics guide

November 2026 - Money Management Study Guide

Budgeting questions cover income against expenses, unit-price comparison, discounts, tax, tips and simple interest. None of the arithmetic is hard; the marks are won by reading precisely what is being asked for — the amount saved or the amount paid, the monthly figure or the annual one.

Updated November 2026

Mathematics guide Numbers and algebra · 18 scored questions 6 min read

Practice As You Read

Try 4 short questions throughout this guide. Check each answer to learn from the explanation.

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Budgets

A budget question is subtraction with careful bookkeeping.

  • Total the income, then total the expenses, then subtract. The remainder is what is left over — the surplus, or a deficit if negative.
  • Watch the period. A weekly expense against a monthly income needs converting first, and the exam mixes them deliberately.
  • For "what percentage of income goes on rent", it is rent ÷ income × 100 — a part-to-whole percentage.
  • For a savings target, work out the shortfall and divide by the amount saved per period to get the number of periods.

Apply a discount before tax unless the question says otherwise, and read whether it wants the amount saved or the amount paid. Those two instructions between them account for most of the wrong answers in this topic.

Discount then tax

Worked example

A set of scrubs is priced at £45, reduced by 20%, with 5% tax added at the till. What is the final price?

  1. Apply the discount first: 45 × 0.80 = 36.
  2. Apply the tax to the discounted price: 36 × 1.05 = 37.80.
  3. Check what is being asked. The final price is £37.80; the amount saved would be 45 - 36 = 9 before tax.

£37.80. Taxing first and then discounting gives the same figure here because multiplication commutes, but questions that apply tax only to part of a basket do not, so keep the stated order.

Question 1 of 4

A student earns £1,450 a month. Rent is £620, travel £145, food £280 and other costs £190. How much is left each month?

Answer Choices for Question 1

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Correct answer: A. £215

The expenses total 620 + 145 + 280 + 190 = 1,235, and 1,450 - 1,235 = 215. £1,235 is the expense total offered as an answer in its own right, and the other two figures come from dropping one of the four expenses from the sum.

The standard calculations

TaskMethodTrap
Unit price Total price ÷ quantity Comparing pack prices instead of per-unit prices
Discount × (100 − rate)% Giving the saving when the price was asked for
Tax or tip × (100 + rate)% Adding the rate to the wrong base
Simple interest I = P × r × t Using months where the rate is annual
Total repayable Principal + interest Reporting the interest alone

Question 2 of 4

A £64 uniform is reduced by 25%. Sales tax of 8% is then added. What is the final price?

Answer Choices for Question 2

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Correct answer: B. £51.84

64 × 0.75 = 48, then 48 × 1.08 = 51.84. £48 is the discounted price before tax — correct arithmetic, wrong stopping point — and the higher figures come from applying the tax to the original £64 rather than to the discounted amount.

Simple interest

Simple interest is I = P × r × t: principal times rate times time. £2,000 at 4% for three years earns 2000 × 0.04 × 3 = 240, so £240 of interest and £2,240 repayable in total.

Time has to match the rate. A 6% annual rate over 8 months is t = 8/12, not 8. This is the one genuinely error-prone step in the calculation, and it is where the distractors come from.

Tips and shared bills

  • A 15% tip on £48 is 48 × 0.15 = 7.20; the total paid is £55.20.
  • To split a bill including a tip, add the tip first and then divide.
  • To estimate a tip quickly: 10% is the bill with the decimal point moved one place left, and half of that again is 5%.

Terms to know

Income
Money coming in over a period.
Expense
Money going out, whether fixed or variable.
Surplus
What remains after expenses are subtracted from income.
Deficit
The shortfall when expenses exceed income.
Unit price
The cost of one unit — what makes different pack sizes comparable.
Principal
The original amount borrowed or invested.
Simple interest
Interest calculated only on the principal: I = P × r × t.
Gross and net
Gross is before deductions; net is what actually arrives.

What the TEAS asks most

The same core ideas appear in different wording. If you can answer these without stopping to think, you have what this section requires.

How much is left over each month?

Total income minus total expenses, with every figure converted to the same period first.

Which option is the better value?

Unit price for each, then compare.

What is the price after a discount and tax?

Discount first, then tax on the discounted amount, unless told otherwise.

How much interest is earned, and what is the total?

I = P × r × t, with t in years. Then read whether the question wants the interest or the total.

Question 3 of 4

Which is cheaper per item: a box of 24 gloves for £7.20, or a box of 40 for £11.60?

Answer Choices for Question 3

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Correct answer: B. The box of 40, at £0.29 each

7.20 ÷ 24 = 0.30 and 11.60 ÷ 40 = 0.29, so the larger box is marginally cheaper per glove. The last choice is the trap the topic exists to defeat: a lower total price says nothing about value when the quantities differ.

Key points

  • Convert everything to the same time period before comparing or subtracting.
  • Discount before tax, unless the question specifies otherwise.
  • Read whether the answer wanted is the price paid or the amount saved.
  • Unit price is the only fair way to compare different pack sizes.
  • Simple interest is P × r × t, and t must be in the same unit as the rate.

Question 4 of 4

£1,500 is invested at 4% simple interest for 9 months. How much interest is earned?

Answer Choices for Question 4

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Correct answer: A. £45

1500 × 0.04 × (9/12) = 45. £60 is a full year's interest, which is what you get by ignoring the nine-month term; £540 treats t as 9 years; and £1,545 is the total balance rather than the interest the question asked for.

TEAS · Money management

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