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Solving Problems - Money (Medium)
James inherited 75% of his grandfather's money.

Solving Problems - Money (Medium)

This 11 Plus Maths quiz helps pupils practise percentage discounts and total cost calculations using real-world examples such as bulk buying and savings.

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Fascinating Fact:

A school buys 35 tablets for £210 each. The total cost is £7,350. If they receive a 5 percent bulk discount, they save £367.50.

In 11 Plus Maths, pupils use percentages and multiplication to solve money problems. Understanding discounts and totals helps build logical reasoning and numerical accuracy for higher-level questions.

  • Bulk Discount: A reduction in price given to customers who buy large quantities of a product.
  • Percentage: A way to express a portion of a whole, written with the percent symbol.
  • Total Cost: The full amount paid before or after any discounts or charges are applied.
How do you calculate a discount in a money problem?

To find a discount, multiply the total price by the percentage (as a decimal). Subtract that amount from the total to get the final cost.

Why do businesses offer bulk discounts?

Bulk discounts encourage customers to buy in larger quantities, helping businesses increase sales and reduce costs from packaging or delivery.

What maths skills are important for solving discount questions?

Understanding percentages, multiplication, and subtraction is key. Estimating before calculating also helps check answers for accuracy.

1 .
Peter is going on holiday to Germany next week, so he decides to change £500 into Euros (€). If £1 = €1.2, how many Euros will he get?
€417
€60
€6,000
€600
If £1 = €1.2, then £500 = 500 × 1.2 = €600
2 .
Super Stores is giving a 50% discount on certain electrical items. If a 'Frosty' fridge sells for £548, what will it sell for if there is a 50% discount on it?
£274
£498
£247
£137
A 50% discount means that the price or cost of something is reduced by 50%. Since 50% is the same as one half, the 'Frosty' fridge will sell for £548 ÷ 2 = £274. Per cent means per hundred, so 50% = 50?100 = 1?2 after reducing the fraction to its simplest form by dividing the numerator and denominator by 50
3 .
Mark has put £3,500 into a savings account. If he doesn't remove his money for 1 year, he will earn an interest of 2%. How much in pounds is 2% interest?
£7
£70
£700
£7,000
Per cent means per hundred, so 2% = 2?100 = 1?50 after reducing the fraction to its simplest form by dividing the numerator and denominator by 2 ? Interest = 1?50 × £3,500 = £70. Note: '2% of' means that you multiply the 2% with something else: in this case the £3,500. The same applies for other percentages
4 .
Janet got £12.19 in change from a £50 note after she had bought three items that each cost the same price. How much did each item cost?
£16.20
£12.60
£11.19
£37.81
£50 - £12.19 = £37.81 = what she paid for the three items ? 1 item cost £37.81 ÷ 3 = £12.60 (to the nearest penny)
5 .
Sofia has just arrived in the UK from Italy, and she wants to change her Euros into pounds sterling: the exchange rate is £1 = €1.2. If she changes €1,200, how many pounds sterling will she get?
£1,440
£144
£1,000
£100
If £1 = €1.2, then €1,200 = 1,200 ÷ 1.2 = £1,000. You have to divide 1,200 by 1.2 because you want to find out how many 'lots' of 1.2 there are in 1,200: each 'lot' equals £1: this is the same as adding 'lots' of 1.2 to itself until you get to 1,200
6 .
Paul has just arrived in the USA from the UK, and he wants to change his pounds sterling into US dollars: the exchange rate is £1 = $1.6. If he changes £2,500, how many US dollars will he get?
$1,562.50
$4,000
$400
$156.25
If £1 = $1.6, then £2,500 = 2,500 × 1.6 = $4,000
7 .
A fine for late payment is charged at 1% per day on the money owed. If someone owes £250, how much will the fine be after one day?
£25.0
£2.50
£250
£0.25
Per cent means per hundred, so 1% = 1?100 and 1% of £250 means that you have to multiply 1% with 250: 1?100 × £250 = £2.50
8 .
James inherited 75% of his grandfather's money. If his grandfather left £125,000, how much did James inherit?
£93,750
£93,650
£93,550
£93,250
Per cent means per hundred, so 75% = 75?100 = 3?4 and 75% of £125,000 means that you have to multiply 75% with £125,000: 3?4 × £125,000 = £93,750
9 .
It costs a shop £1 to buy an article which it then sells at a profit. If the shop wants to make a 400% profit on the sale of the article, how much must it sell it for?
£5
£4
£8
£6
Profit = Selling Price - Cost Price = £5 - £1 = £4. The shop has made a profit of £4. Now £4 as a percentage of £1 = 4?1 × 100% = 400%. Yes! Don't fall into the trap of thinking that if you sell it at four times its cost that you will make a 400% profit: you have to subtract the original cost from your selling price before you can call it profit
10 .
Sally gets a salary of £14,560 per annum (per year). She has now been told that she has to take a 10% reduction in her salary. How much will she earn per annum after the 10% reduction?
£13,410
£13,401
£13,140
£13,104
Per cent means per hundred, so 10% = 10?100 = 1?10 and 10% of £14,560 means that you have to multiply 10% with £14,560: 1?10 × £14,560 = £1,456. So she will lose £1,456 from her salary: £:14,560 - £1,456 = £13,104
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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