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IGCSE Mathematics Worksheet - Ratio & Proportion-2

Answer the following

1. Melissa is 13 years old. Becky is 12 years old. Daniel is 10 years old. Melissa, Becky and Daniel share £28 in the ratio of their ages. Becky gives a third of her share to her mother. How much should Becky now have?

2. Ann and Bob shared £240 in the ratio 3 : 5 Ann gave a half of her share to Colin. Bob gave a tenth of his share to Colin. What fraction of the £240 did Colin receive?

3. Peter won £75 as a prize. He gave 4/5 of the prize money as a present to Roger and Bethan. Roger and Bethan shared the present in the ratio 2:3 Work out how much they each got.

4. A shop sells CDs and DVDs. In one week the number of CDs sold and the number of DVDs sold were in the ratio 3:5 The total number of CDs and DVDs sold in the week was 728 Work out the number of CDs sold.

5. Rosa prepares the ingredients for pizzas. She uses cheese,topping and dough in the ratio 2 : 3 : 5 Rose uses 70 grams of dough. Work out the number of grams of cheese and the number of grams of topping Rosa uses.

6. Last year Kerry’s take home pay was £15 000 She spent 40% of her take home pay on rent. She used the rest of her take home pay for living expenses, clothes and entertainment in the ratio 3 : 1 : 2 How much did Kerry spend on entertainment last year?

7. Fred has a recipe for 30 biscuits. Here is a list of ingredients for 30 biscuits.

Self-raising flour : 230 g

Butter : 150 g

Caster sugar : 100 g

Eggs : 2

Fred wants to make 45 biscuits.

(a) Complete his new list of ingredients for 45 biscuits

Gill has only 1 kilogram of self-raising flour. She has plenty of the other ingredients.

(b) Work out the maximum number of biscuits that Gill could bake.

8. 4 men can build a shed in 20 hours. Calculate how long the same shed would take to build:
(a) if there was 1 man
(b) if there were 5 men.

9. The yield of wheat from 8 hectares of land is 360 quintals. Find the number of hectares of land required for a yield of 540 quintals?

10. 3 gallons of paint cover 900 square feet. How many gallons will cover 300 square feet?

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IGCSE Mathematics Worksheet - Number 3

Answer the following

11. The ratios of teachers : male students : female students in a school are 2 : 17 : 18. The total number of students is 665. Find the number of teachers.

12.A recipe for tomato soup uses tomatoes and onions in the ratio 7 : 2. If 21 kg of tomatoes are used, how many kilograms of onions are needed?

13. The ratio of flour sugar cocoa in a cake recipe is 2 : 1 5 : 0 5

If 10 kg of flour is used, how much: a sugar b cocoa is used?

14. On a particular day, 1 Australian dollar is worth 0:94 US dollars.

How many Australian dollars can be exchanged for $20 US?

15. For her holiday, Alyssa changed 2800 Malaysian Ringgits (MYR) to US dollars ($) when the exchange rate was 1 MYR = $0.325 . At the end of her holiday she had $210 left.
(a)How many dollars did she spend?
(b) She changed the $210 for 750 MYR. What was the exchange rate in dollars for MYR?

16. A train leaves Zurich at 2240 and arrives in Vienna at 0732 the next day. Work out the time taken.

17. A plane took 1 hour and 10 minutes to fly from Riyadh to Jeddah. The plane arrived in Jeddah at 23 05. At what time did the plane depart from Riyadh?

18. Ahmed earns $20000 each year.In 1991, he paid no tax on the first $3000 of his earnings. He paid 25% of the rest as tax. Show that he paid $4250 as tax.

19.Petra has a monthly income of $4700. She does not have to pay any tax on the first $2400 she earns, but she has to pay 15% of the remainder as tax.
a How much tax does Petra have to pay?
b How much does Petra have left after tax?
c What percentage of the $4700 does Petra actually pay in tax?

20. Alex invests $200 for 2 years at a rate of 2% per year simple interest. Chris invests $200 for 2 years at a rate of 2% per year compound interest. Calculate how much more interest Chris has than Alex.
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CBSE 8th-Mathematics Worksheet- Comparing Quantities/Percentages-2

Answer the following:

1. A man sold two articles at Rs 25920 each. These were sold at 8% gain and 4% loss respectively. Find the gain or loss present in the whole transaction.

2. The discount per cent is calculated on the _________ price of an article.

3. A shirt with marked price Rs 1500 was sold to a customer for Rs 1080. Find the rate of discount allowed on the shirt.

4. If M.P = Rs 650 and discount = 10% Find Sale Price

5. Reena offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at Rs 280?

6. What price should a shopkeeper mark on an article that costs him Rs 600 to gain 20%, after allowing a discount of 10%

7. Sana bought a product for Rs 3,155 including 4.5% sales tax. Find the price before tax was added.

8. Priya purchased a toy for Rs 660 including sales tax. If the rate of sales tax is 10%, find the selling price of the toy

9. Arun buys a book costing Rs 600. If the rate of sales tax is 7%, then what is the total amount payable by him?

10. Shreya bought medicines from a medical store as prescribed by her doctor for Rs 36.40 including 4% VAT. Find the price before VAT was added.

11. Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.

12. Find the compound interest on Rs 48,000 for one year at 8% per annum when compounded half yearly.
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CBSE 8th-Mathematics worksheet-Comparing Quantities/Percentages-1

Answer the following:

1. 70% of students in a school are boys and the number of girls in the school is 504. Find the number of boys.

2. Alena spends 40% of her salary on food, 25%on house rent, 15% on entertainment and 5% on conveyance. Her savings at the end of the month is Rs. 1200. Find the salary per month.

3. If 60% people speak Spanish, 30% speak English and the remaining speak other language, then what percent of the people speak other languages? If the total population is 50 Lakhs, find the exact number of people who speak each type of language?

4. The human body is made up mostly of water. In fact, about 67% of a person’s total body weight is water. If Diya weights 56 kg, how much of her weight is water?

5. The annual rate of growth of population of a certain city is 8%. If its present population is 1,96,830, what was the population year ago.

6. The enrollment in a school increases from 1200 to 1254. Determine the percent increase in student enrollment.

7. The bacteria in our hands grow at the rate of 20% every hour. What will be their count after 3 hrs if their initial count is 5 lakhs.

8. A number is increased by 20% and then it is decreased by 20%. Find the net increase or decrease per cent.

9. Lemons were bought at Rs 48 per dozen and sold at the rate of Rs 40 per 10. Find the gain or loss per cent.

10. Raj bought a watch for Rs. 800 and sold it for Rs. 1000. Anu bought a car for Rs. 4,00,000 and sold it for Rs. 4,20,000. Who made a better sale, Raj or Anu?

11. A real estate agent receives Rs 50,000 as commission, which is 4% of the selling price. At what price does the agent sell the property?

12. A watch worth Rs 5400 is offered for sale at Rs 4,500. What per cent discount is offered during the sale?

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Answers for IGCSE Maths - Ratio & Proportion

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IGCSE Mathematics Worksheet- Ratio & Proportion

Answer the following

1. Express 45 : 10 in simplest form

2. Express in simplest form: a wetsuit costing $175 to a wetsuit costing $250

3. Two lengths are in the ratio 4 : 5. If the first length is 60 cm, what is the second length?

4. £50 is to be divided between two sisters in the ratio 3 : 2. How much does each get?

5. Three children aged 2 years, 3 years and 7 years old are given a sum of £60 to be divided in the ratio of their ages.
(a) How much does each child receive?
(b) How much would each child receive if the same amount of money had been divided a
year later?

6. The ratio of walkers to guides on the Milford Track walk was 9 : 2. How many guides were needed if there were 27 walkers?

7. The ratio of Pam’s height to Sam’s height is 7 : 6. If Pam is 1:63 m tall, how tall is Sam?

8. Divide an inheritance of $36 000 in the ratio 3 : 5 : 10

9. On a particular day, 1 Australian dollar is worth 0.94 US dollars. How many Australian dollars can be exchanged for $20?

10. The graph alongside indicates the distance a homing pigeon travelled from its point of release until it reached its home. Use the graph to determine:
a the total length of the flight
b the time taken for the pigeon to reach home
c the time taken to fly the first 200 km
d the time taken to fly from the 240 km mark to the 400 km mark

e the average speed for the first 4 hours

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IGCSE Mathematics - Percentages& Compound interest-Worksheet

Answer the following

1. Alex scored 72% for an examination out of 150 marks. How many marks did Alex score?

2. Petra has a monthly income of $4700. She does not have to pay any tax on the first $2400 she earns, but she has to pay 15% of the remainder as tax.

a How much tax does Petra have to pay?
b How much does Petra have left after tax?
c What percentage of the $4700 does Petra actually pay in tax?

3. A camera is purchased for €650 and is marked up by 20%

Find: a the profit b the selling price

4. Brad bought an old car for $600. He spent $1038 restoring it and sold it for $3500. Find his profit or loss on the sale.

5. Calculate the simple interest on a $4000 loan at a rate of 7% per annum over 3 years. Hence find the total amount to be repaid.

6. What rate of simple interest per annum would need to be charged on a loan of $20 000 if you wanted to earn $ 3000 in interest over 2 years?

7. The value of an old book has increased by 35% to $540. What was its original value?

8. A share trader buys a parcel of shares for $4250 and sells them for $3800.
Calculate the percentage decrease in the investment

9. Increase $3500 by 10% and then decrease the result by 14%

10. $5000 is invested at 8% p.a. compound interest with interest calculated annually.
a What will it amount to after 3 years? b Find the interest earned.

11. After 4 years a tractor purchased for €58 500 has a resale value of €35080.
Find its annual rate of depreciation.

12. Biathlete Jo cycles 60 km at a speed of 30 km/h, and then runs another 15 km at a speed of 10 km/h.
Find: a the total time b the average speed for Jo’s training session.

13. Ahmed earns $20000 each year.In 1991, he paid no tax on the first $3000 of his earnings. He paid 25% of the rest as tax.
Show that he paid $4250 as tax.

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