Question 1

LEVEL 4

In a sale, normal prices are reduced by 20\%

In the sale the price of a dress is \pounds220

Calculate the normal price of the dress.

Select the correct answer from the list below:

A: \pounds264

B: \pounds250

C: \pounds275

D: \pounds300

 

CORRECT ANSWER: C: \pounds275

WORKED SOLUTION:

We know prices are reduced by 20 \%, so the prices in the sale are 100 \% - 20 \% = 80 \% of their original value.

80 \% = 0.8.

Divide the sale price of the dress by this decimal equivalent, to get the original value:

\pounds220\div0.8=\pounds275

Question 2

LEVEL 4

In a recent maths exam, Frazer scored 70\%

He answered 42 marks correctly.

Work out the total number of questions in the test.

Select the correct answer from the list below:

A: 60 marks

B: 50 marks

C: 55 marks

D: 70 marks

 

CORRECT ANSWER:          A: 60 marks

WORKED SOLUTION:

70 \% = 0.7.

Divide the number of marks Frazer scored, by this decimal equivalent, to get the number of questions in the test:

42 \div 0.7 = 60 marks

Question 3

LEVEL 4

In a sale, normal prices are reduced by 42\%

The price of a CD tower is \pounds31.90

Calculate the normal price of the CD tower.

Select the correct answer from the list below:

A: \pounds50

B: \pounds55

C: \pounds48

D: \pounds52

 

CORRECT ANSWER: B: \pounds55

WORKED SOLUTION:

We know prices are reduced by 42 \%, so the prices in the sale are 100 \% - 42 \% = 58 \% of their original value.

58 \% = 0.58.

Divide the sale price of the CD tower by this decimal equivalent, to get the original value:

\pounds31.90\div0.58=\pounds55

Question 4

LEVEL 4

Each year the price for of a season rail ticket increases by 3\%

The price in 2019 is \pounds556.20.

Calculate the season ticket price in 2018.

Select the correct answer from the list below:

A: \pounds550

B: \pounds547

C: \pounds565

D: \pounds540

 

CORRECT ANSWER: D: \pounds540

WORKED SOLUTION:

We know prices are increased by 3 \%, so the prices after the increase are 100 \% + 3 \% = 103\% of their original value.

103 \% = 1.03.

Divide the 2019 price of the season ticekt by this decimal equivalent, to get the original value:

\pounds556.20\div1.03=\pounds540

Question 5

LEVEL 4

A car garage is having a 20\%sale off the normal price.

Tommy pays £5200 cash for a car.

Calculate the normal price of the car.

Select the correct answer from the list below:

A: \pounds6255

B: \pounds5800

C: \pounds6500

D: \pounds6000

 

CORRECT ANSWER:

WORKED SOLUTION: C: \pounds6500

We know prices are reduced by 20 \%, so the prices in the sale are 100 \% - 20 \% = 80 \% of their original value.

80 \% = 0.8.

Divide the sale price of the car by this decimal equivalent, to get the original value:

\pounds5200\div0.8=\pounds6500