EXPRESSING ONE QUANTITY AS A PERCENTAGE OF ANOTHER WORKSHEET

Express the following as percentage of second quantity :

(1)  10 km,  50 km              Solution

(@)  €2, €8          Solution

(3)  300 m,   0.7 km          Solution

(4)  60 cents,   $2          Solution

(5)  8 months, 2 years          Solution

(6)  50 g, 1.2 kg          Solution

(7)  24 min, 2 hours          Solution

(8)  0.5 m,  25 cm          Solution

(9)  5 mg, 2 g          Solution

(10)  3 weeks, 15 days          Solution

(11)  For every 50 students at Hightown School, 29 are girls.

(a) Work out 29 as a percentage of 50.

1000 students attend Hightown School.

(b) How many girls attend Hightown School?

(12)  A man earns $6000 in a month. If he spends $4000, what percent of his income does he save in a month?

(13)  Susan brings 500 flapjacks to a local fair. Susan sells 450 of the flapjacks. What percentage of the flapjacks did Susan sell?

(14) 

• James scored 30 out of 90 in a music test.
• He scored 48 out of 150 in a drama test.
• James scored 35 out of 120 in an art test.

In which test did James score the highest percentage? You must show your workings.

(15)  Sunil obtained 750 marks out of 800 and Ravi obtained 540 marks out of 600.Whose performance is better ?

(16)  A student spends 7 1/2 hours out of 24 hours at school. What percentage of the day does he spend in school ?

1)  64 marks out of a possible 80 marks   Solution

2)  23 marks out of a possible 40 marks   Solution

3)  332 books sold out of a total of 500 printed   Solution

4)  140 Toyota vehicles out of 800 cars sold    Solution

5)  An archer scores 97 out of a possible 125 points.

Solution

6)  24 of 60      Solution

7)  220 mL of 2 L       Solution

8)  €1.20 of €300     Solution

9)  $8.50 of $2000       Solution

10) 350 g of 1 kg     Solution

11)  16 hours of 1 day

Solution

12)  David receives £5 from his Grandmother. He gives £2 to his sister. Write down £2 as a percentage of £5.

Solution

13)  Roger scores 6 out of 8 in a quiz. Work out his score as a percentage

Solution

14)  Susan brings 500 flapjacks to a local fair. Susan sells 450 of the flapjacks. What percentage of the flapjacks did Susan sell?

Solution

15)  Write 94 out of 200 as a percentage.

Solution

16)  James scored 30 out of 90 in a music test. He scored 48 out of 150 in a drama test. James scored 35 out of 120 in an art test. In which test did James score the highest percentage? You must show your workings.

Solution

17)  In a village of 3500 people, 12% are left-handed, and 15% of the lefthanded people have blonde hair. How many people in the village are blonde and left-handed?

Solution

Find :

1)  20% of $36           Solution

2)  36% of €4200      Solution

3)  5% of 18m (in cm)      Solution

4)  125% of ₤600      Solution

5)  22% of 1 tonne (in kg)      Solution

6)  72% of 3 hours (in min)      Solution

7)  7 1/2% of 12 hours (in min)      Solution

8)  3.8% of 12 m (in mm)      Solution

9)  95% of 5 tonnes (in tonnes)      Solution

10)  108% of 5000 kg (in tonnes)      Solution

11)  A school football team plays 25 games in a season. They win 17, draw 2 and lose the rest. Express the numbers won, drawn and lost as percentages of the total number, of games played.

Solution

12)  An airline has a fleet of 80 planes. Of these, 10 are being serviced at anyone time. What percentage of the fleet is available for flights?

Solution

13)  

A car manufacturer produces 175000 sports cars a year. They are only available in white, black and red. 52500 are white, 78750 are black and the rest are red.

a) What percentage of the cars are black?

b) What percentage are white?

c) What percentage are red?

Solution

14)  Afarmer produced 8000 tonnes of grain last year. He plans to increase this by 15% next year. How many tonnes does he think he will produce?

Solution

15)  A winter coat is priced at $250 but is discounted by 15% in a sale. What is the sale price?

Solution

16)  A builder charges $2000 plus 15% tax to fit a new kitchen. What is the total price of fitting the kitchen?

Solution

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