Solving Money Problems in 11-Plus Mathematics

Solving Money Problems in 11-Plus Mathematics

In the 11-plus mathematics curriculum, understanding how to solve problems involving money is essential. This topic encompasses various skills, including adding and subtracting money, calculating change, and solving multi-step money problems.

Adding and Subtracting Money

When dealing with money, it is crucial to align decimal points correctly. For example:

Worked Example

Problem: If you have £5.75 and you buy a toy for £2.50, how much money do you have left?

Solution:

• Start with £5.75
• Subtract £2.50
• £5.75 - £2.50 = £3.25

You have £3.25 left.

Calculating Change

Calculating change is a common task. To find out how much change you should receive, subtract the total cost from the amount given.

Worked Example

Problem: You pay £10 for a book that costs £7.80. How much change do you get?

Solution:

• Amount given: £10
• Cost of the book: £7.80
• Change = £10 - £7.80 = £2.20

You receive £2.20 in change.

Multi-Step Money Problems

These problems may require several calculations. It is important to read the problem carefully and break it down into manageable steps.

Worked Example

Problem: You buy 3 notebooks for £1.20 each and a pen for £0.80. How much do you spend in total?

Solution:

• Cost of notebooks: 3 x £1.20 = £3.60
• Cost of pen: £0.80
• Total cost = £3.60 + £0.80 = £4.40

You spend £4.40 in total.

Understanding Profit and Loss

Profit and loss calculations are vital for understanding business transactions. Profit is the amount earned after expenses, while loss indicates a deficit.

Worked Example

Problem: A shop buys a toy for £5 and sells it for £8. What is the profit?

Solution:

• Profit = Selling Price - Cost Price
• Profit = £8 - £5 = £3

The profit is £3.

Calculating Discounts and Sale Prices

Discounts are reductions in price, often expressed as a percentage. To calculate the sale price after a discount, subtract the discount from the original price.

Worked Example

Problem: A jacket costs £40 and has a 25% discount. What is the sale price?

Solution:

• Discount = 25% of £40 = £10
• Sale Price = £40 - £10 = £30

The sale price is £30.

Working with Budgets and Bills

Understanding how to manage a budget is crucial. This involves tracking income and expenses to ensure you do not overspend.

Worked Example

Problem: You have a weekly budget of £50. If you spend £15 on groceries and £20 on entertainment, how much do you have left?

Solution:

• Total spent = £15 + £20 = £35
• Remaining budget = £50 - £35 = £15

You have £15 left in your budget.

By mastering these skills, students will be well-prepared to tackle money-related problems in the 11-plus mathematics exam.