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PERCENTAGES & FRACTIONS 1) Calculate the following: a) 50% of 600. b) ¼ of 400 c) ½ of 68 d) 25% of 24 e) ¼ of 84 f) 75% of 32 g) 25% of 30 h) ¾ of 500 2) Calculate the following: a) 10% of 70. b) 5% of 70 c) 20% of 70 d) 5% of 180 e) 1/3 of 90 f) 30% of 150 g) 2/5 of 30 h) 15% of 80 c) 5/7 of 80 d) 16.7% of 45 3) Use a calculator to calculate : a) 65% of 120 b) 18% of 30 4) A Radio’s original price was £175. What is the new cost of the Radio in a 10% off sale? (You may use a calculator). 5) The balance in a bank account is £1, 800. The account receives interest of 3%. What is the new balance? (You may use a calculator). 6) Without using a calculator, calculate 15% off £86. 7) What is: a) 50% as a fraction. b) ¼ as a percentage. c) 75% as a decimal and fraction. d) 13% as a decimal. e) 3/50 as a percentage. f) 40% as a fraction. 8) Complete the following table Fraction Percentage Decimal 3/10 0.3 1/5 0.35 2/25 9) Place the following in ascending order 27% 0.03 1/4 10) Mark receives a score of 38 out of 200 in his Maths exam. Write his mark as a fraction and a percentage. 11) Which of the following fractions are equivalent to 12) Calculate the following, without the use of a calculator. Write your answer a) b) c) d) 13) Calculate the following: a) 30% of 70. b) 45% of 70 c) 25% of 70 d) 1% of 180 e) 1/5 of 90 f) 35% of 150 g)5/6 of 30 h) 15% of 180 . 14) Sarah earns £1400 per month. She spends 3/7 of her wages on food and saves 30%. Does she save more than she spends on food? How much does she have left after her savings and food? 15) Complete the following table Fraction Percentage Decimal 1/2 25% 0.35 3/15 16) Place the following in ascending order 57% 0.6 13/25 17) Mark receives a score of 123 out of 300 in his Maths exam. Write his mark as a fraction and a percentage. 18) An electrical store reduces the price of a particular camera from £90.00 to £78.30. What is the percentage reduction? 19) John bought a new video recorder. The tag in the shop said it cost £229+VAT. If VAT is charged at 17.5%, how much did he pay 20) £4,500 is invested in bank which has an interest of 3% per annum. What will the investment be worth after : a)1 year b) 2 years c) 4 years 21) Annie invests £1500 at a rate of compound interest of 2.5% for 3 years. How much is in her account after the three years? 22) Jane buys a car for £16,000. Jane knows the value of the car will depreciate by 8% each year. How much will her car be worth in 2 years? Percentages & Fractions Answers 1) a) 300 b) 100 c) 34 d) 6 e) 21 f) 24 g) 7.5 h) 375 2) a) 7 b) 3.5 c) 14 d) 9 e) 30 f) 45 g) 12 h) 12 3) a) 78 b) 5.4 c) 57.14 d)7.515 b) ¼ c) ¾ 0.75 d) 13/100 4) £157.50 5) £1854 6) £73.10 7) A) ½ e) 6% f) 2/5 8) Fraction Percentage Decimal 3/10 30% 0.3 1/5 20%0 0.2 35/100 = 7/20 35% 0.35 2/15 13.33% 0.1333 9) 0.03, ¼ , 27% 10) 38/200 = 19/100 = 19% 11) 4/14 and 22/77 12) A) 8/7 b) 1/10 13) A) 21 b) 31.5 14) 3/7 = £600 c) 19/20 c) 17.5 d) 3/48 = 1/16 d) 1.8 30% = £420 e)18 f) 52.5 g) 25 h)27 Spend more on food. She has £380 left. 15) Fraction Percentage Decimal 1/2 50% 0.5 ¼ 25% 0.25 35/100 = 7/20 35% 0.35 3/20 15% 0.15 16) 13/25, 57%, 0.6 17) 123/300 = 41/100 = 41% 18) 11.70/90.00 = 0.13 – 13% 19) £269.08 20) A) £4635 21) £1615.34 22) £13542.40 b) 4774.05 c) 4917.27 FRACTIONS 23) Simplify the following fractions, where possible: a) b) c) d) e) 24) Which of the following fractions are equivalent to 3) Calculate the following, without the use of a calculator. Write your answer a) b) c) d) e) b) c) d) e) a) b) c) d) e) f) g) 4) Calculate: a) 5) Calculate 6) Calculate a) 1/3 of £90 b) 2/3 of £90 c) ¾ of £120. 7) Sarah earns £700 per month. She spends 1/5 of her wages on food and saves 2/7. Does she save more than she spends on food? Fractions Answers 1) a) 2/5 2) b) 1/3 c) 3/13 d) 3/8 e) 1/5 c) 5/4 d) 10/12 = 5/6 12/15 , 8/10 and 40/50 3) A)3/5 b) 3/10 4) A) 8/15 b) 14/50 = 7/25 5) A) 20/24 = 5/6 f) -8/35 6) A) £30 c) 21/10 b) 8/70 = 4/35 d) 24/25 c) 32/30 = 16/15 g) 43/30 b) £60 7) 1/5 of 700 = £140 c) £90 2/7 of 700 = £200. Saves more. e)2/8 = 1/4 e) 48/120 = 24/60 = 6/15 = 2/5 d) 11/12 e) 49/30