EXPRESSING ONE NUMBER AS A PERCENTAGE OF ANOTHER WORKSHEET

(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

Answer Key

(1)  80%

(2)  57.5%

(3)  66.4%

(4)  17.5%

(5)  77.6%

(6)  40%

(7)  11%

(8)  0.4%

(9)  0.425%

(10)  35%

(11)  66 2/3%. 

(12)  40%

(13)  75%

(14)  90%

(15)  40%

(16)  in music test he has scored highest percentage.

(17)  63 people in the village are blonde and left-handed.

(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.

(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?

(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?

(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?

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

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

Answer Key

(1)  $7.20

(2)  €1512

(3)  90 cm

(4)  ₤750

(5)  220 kg

(6)  129.6 min

(7)  54 min

(8)  456 mm

(9)  4.75 tonnes

(10)  5.4 tonnes. 

(11)  Percentage of games won = 68%

Percentage of games draw = 8%

Percentage of games loose = 24%

(12)  percentage of the fleet is available for flights is approximately 13%.

(13)  Percentage of black car produced = 45%

Percentage of white car produced = 30%

Percentage of white red produced = 25%

(14)  9200

(15)  Approximately $213.

(16)  the required cost is $2300.

1) The price of a product is $60. If the price is increased by 15%, then find the new price.

2)  The cost price of a product is $150 and it is sold at a loss of 30%. Find the selling price of the product.

3)  John got 50% of the questions correct on a 40-question test and 80% on a 80-question test. What percent of all questions did John get correct?

4)  The price of a dress is increased by 20%, then decreased by 40%, then increased by 25%. the final price is what percent of the original price?

5) Given that p is 50% larger than r, and q is 20% larger than r, then p is what percent larger than r?

6)  In a school, the total number of students is decreased by 20% from 2015 to 2016. Let A be the number of students in 2016. Find the number of students in 2015 in terms of A.

7) Townsend Realty purchased a property for $140,000 after having received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Find the original price of the property (Round the answer to the nearest dollar).

8)  In a aschool, 30% of 10th grade students are Red Sox fans. Among those Red Sox fans, 40% are also Celtics fans. What percent of the 10th grade students are both Red Sox fans and Celtics fans?

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