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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