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Arithmetic


2


3. In each of the following, what percentage is the fi rst number of the second number?


(a) 5 of 20 (b) 15 of 45 (c) 10·2 of 27·2


(d) 520 of 400 (e) 1 _


3 of 1 _


6


(f) 1 _


(h) 2 _


5 of 0·8


(g) 0·8 of 1 _


5


3 of 5 _


6


(i) 0·2 of 0·3 (j) 12·5 of 120


4. (a) Joe’s team played 20 games in a season. They won 18 of them. What percentage of the games did Joe’s team win?


(b) The political party Fianna Fáil received 9562 votes out of 26 500 in a constituency. What was its percentage share of the vote, correct to the nearest whole number?


(c) There are 45 crew members on a ship. Eighteen of them are offi cers. What percentage of the crew are offi cers?


(d) A metal bar has a mass of 23 g. If 21·5 g is pure silver, what percentage of the metal bar is pure silver, correct to one decimal place?


(e) There are 32 students in a class. Eight of the students are female. What percentage of the students are male?


5. (a) Mary got 80% of the questions in a Maths test right. How many questions did she get right if there were 40 questions in all?


(b) There are 166 Dáil deputies in Dáil Éireann. 28·3% of them are from Dublin. How many Dublin deputies are there in Dáil Éireann?


(c) A meal for fi ve in a restaurant costs €152. If the waiter was given a tip of 15% of the cost of the meal, how much did he get?


(d) If 16% of 62 000 students took the Higher Level Maths exam in 2013, how many students took this exam?


(e) A woman put €10 000 into a saving account for one year. The rate of interest


for one year was 3·2%. How much interest did she get at the end of the year?


6. (a) A sitting-room suite cost €2453 plus 15% delivery charge. What was the total cost?


(b) A laptop is reduced by 22% in a sale. If the presale price is €530, what was the sale price?


(c) In 1800, the land area of the USA was 867 980 square miles. In 1803, after the Louisiana Purchase, the land area increased by 95%. What was the land area of the USA after the purchase?


(d) Cheap Air increased its number of daily fl ights to Spain by 20% on 1 June. If the number of daily fl ights to Spain on 31 May was 15, what was the number on 1 June?


(e) A pharmaceutical company reduces the price of a packet of statins by 28% from €40 per packet. What is the new price of a packet of statins?


7. (a) A clothes shop reduced the price of a brand of jeans by 15%. If the reduced price is €35·70, what was the original price?


(b) The number of deaths on Irish roads in 2011 was 186. This was a 12·26% decrease on the number of deaths in 2010. How many people died on Irish roads in 2010?


(c) Between 1990 and 2000, the population of the USA increased by 13%. If the population in 2000 was 281 million, what was the population in 1990, correct to two decimal places?


(d) The price of a television was €688·80, including tax at 23%. What was the price before VAT was applied?


(e) The political party Fine Gael won 76 seats in the 2011 general election. This was an increase of 49% over their 2007 election result. How many seats did Fine Gael win in the 2007 election?


31


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