Solving 'number' problems - OCR test questions - OCR - GCSE Maths Revision

A shop sells microwaves and cookers in the ratio of 2:3. In December, 1,000 units are sold. Each microwave sold generates £82 profit, and each cooker gives £63 profit.

1

How many microwaves are sold in December?

200

600

400

2

How many cookers are sold in December?

600

400

200

3

What is the total profit generated in December?

£25,200

£70,600

£49,200

4

The value of a television depreciates by 20% each year. At the end of 2014, the TV was worth £280. How much was it worth in 2010?

Which maths topic will be most helpful to solve this question?

Standard form

Compound interest

Place value

5

What equation can be formed to help solve the problem?

280 = (0.8)⁴ × c

280 - 20 - 20 - 20 - 20 = c

280 ÷ (20 × 4) = c

6

What was the cost of the television in 2010?

£504

£350

£683.59

7

Lee spends his monthly income in the following way: 40% is spent on rent. \(\frac{1}{3}\) is spent on bills and food. The rest is put into savings. Lee spends £600 a month on bills and food.

What proportion of Lee's wage is spent on rent, bills and food?

\[\frac{11}{15}\]

\[\frac{7}{10}\]

70%

8

What proportion of Lee's wage is saved each month?

10%

\[\frac{3}{10}\]

\[\frac{4}{15}\]

9

How much does Lee earn a month?

£1,500

£1,800

£2,050

10

How much does Lee save per year?

£5,760

£480

£1,320