Money Word Problems Year 4: Complete Collection

Money: Currency used to purchase goods and services. In the UK, money comes in pounds (£) and pence (p).

Word Problem: A math problem presented in the form of a story or real-life situation that requires mathematical operations to solve.

Cost: The amount of money needed to buy something.

Change: The money returned when you pay more than the cost of an item.

Total: The sum of all amounts being added together.

Tax: An extra amount of money that is added to the price of items when you buy them.

Discount: An amount of money taken off the original price of an item.

Rule 1 - Addition: Use addition when finding the total cost of multiple items or combining amounts of money.

Rule 2 - Subtraction: Use subtraction when finding change or comparing amounts of money.

Rule 3 - Multiplication: Use multiplication when finding the total cost of multiple identical items.

Rule 4 - Division: Use division when sharing money equally or finding unit costs.

Rule 5 - Money Operations: Always align decimal points when adding or subtracting money amounts.

Rule 6 - Tax Calculation: Multiply the cost by the tax rate to find the tax amount.

Rule 7 - Discount Calculation: Multiply the original price by the discount rate to find the discount amount.

Step 1: Read the Problem Carefully - Identify what information is given and what you need to find.

Step 2: Identify the Operation(s) - Determine whether you need to add, subtract, multiply, or divide.

Step 3: Set Up the Equation - Write down the numbers and operation needed to solve the problem.

Step 4: Solve the Problem - Perform the calculation carefully, paying attention to decimal placement.

Step 5: Check Your Answer - Make sure your answer makes sense in the context of the problem.

Simple Example: Sarah has £50 and wants to buy a book that costs £15. How much money will she have left? £50 - £15 = £35. Sarah will have £35 left.

Intermediate Example: Tom buys 5 notebooks that cost £3.50 each. How much does he spend in total? 5 × £3.50 = £17.50. Tom spends £17.50 in total.

Advanced Example: Emma has £100. She buys a shirt for £25, a pair of socks for £8, and a hat for £12. How much change does she receive? £25 + £8 + £12 = £45 spent. £100 - £45 = £55 change.

Complex Example: A store charges 20% VAT on purchases. If Jake buys items that cost £75, how much does he pay in total? VAT = £75 × 0.20 = £15. Total = £75 + £15 = £90.

Tip 1 - Read Carefully: Underline important information in the problem to help focus on what's needed.

Tip 2 - Draw Pictures: Draw coins or bills to visualize the money amounts when needed.

Tip 3 - Estimate First: Round numbers to estimate the answer before calculating to check reasonableness.

Tip 4 - Use Charts: Create tables or charts to organize information in multi-step problems.

Common Pitfall 1: Forgetting to include the currency symbol (£) in your final answer.

Common Pitfall 2: Misaligning decimal points when adding or subtracting money amounts.

Common Pitfall 3: Forgetting to calculate tax or discounts when they are part of the problem.

Note 1: Always write money amounts with a currency symbol (£) and two decimal places (e.g., £5.00).

Note 2: When finding change, subtract the cost from the amount paid.

Note 3: When buying multiple identical items, multiply the cost by the quantity.

Note 4: When sharing money equally, divide the total by the number of people.

Note 5: To calculate tax, multiply the cost by the tax rate (e.g., 20% = 0.20).

Note 6: To calculate discount, multiply the original price by the discount rate.

Note 7: Check your answer by doing the opposite operation (addition to check subtraction, etc.).