# Fractions of Quantities Worksheet Essay

GCSE MATHEMATICS ASSIGNMENT SHEET 6 Fractions of Quantities Fractions – Decimals – Percentages NAME: Date submitted: Total /38 Fractions of Quantities 1. Find the following quantities showing your method of calculation: a) 3 of 28m 4 b) 2 of ? 120 5 c) 1 of 17. 5kg 2 d) 5 of 32 tonnes 8 e) 7 of ? 156. 70 10 f) 2 of 24. 06mm 3 6 marks 2. Jan works in a bakery. Each day she bakes three batches of scones using ? kg of flour for each batch. On Monday morning there is 10kg of flour. On what day will the flour run out? Sheet 6 Fractions of Quantities. doc 2 marks 3.

How much would each of the garments cost if each were reduced by a fifth? €30 €80 i) Jacket €_______ €120 ii) Skirt €_______ iii) Shirt €_______ 4. Debbie bought 500g of sweets to share equally with her class. Out of the 25 students, 15 were female. i) What weight of sweets did the female students share? ii) If the men’s share contained 3/10 red sweets, what weight of red sweets would each man get if shared equally? Sheet 6 Fractions of Quantities. doc 3 marks One number as a fraction of another 5. Express one number as a fraction of another giving the fraction in its simplest form: ) Out of 96 students in Year 13 at a college, 56 are female. What fraction of the total number of students are female? b) The distance from Earth to the moon is approximately 400 000km. After two days, a space craft has covered a distance of 240 000km. What fraction of the total distance has the craft travelled? c) Of the thirty thousand, five hundred people who live in Jacksville, three thousand, five hundred didn’t vote in the local election. Six thousand, seven hundred and fifty voted for the Green Party. What fraction of those that voted, favoured other parties? d)

The spectators at an Olympic Synchronised Swimming Contest numbered 1024. Out of these, 128 supported the US Team, 512 the UK Team and the rest were neutral. What fraction of the total number of spectators were neutral? 8 marks Fractions to Decimals 6. a) Covert the following fractions into decimals: 1 4 Sheet 6 Fractions of Quantities. doc b) 2 5 c) 2 to 2d. p. 3 d) 3 8 e) 50 100 f) 7 10 g) Express five sixths as a decimal correct to 3 significant figures. 7 marks Decimals to Fractions 7. a) Convert the following decimal numbers into fractions in the simplest of form: 0. 8 b ) 0. 15 c) 0. 375 d) . 75 4 marks Percentages to Decimals to Fractions 8. a) Convert the following percentages to decimals and then into a fractions in the simplest of form: 10% Sheet 6 Fractions of Quantities. doc b) 40% c) 75% d) 62? % 4 marks Answers Sheet 6 (a) (b) (c) (d) (e) (f) 1. 21m ?48 8. 75kg 20t ?109. 69 16. 04mm 2. Friday – 1kg taken into Friday 3. Jacket 0. 5 0. 7 €64 i) Jacket ii) Skirt iii) Shirt (g) €64 €96 €24 Skirt €96 Shirt €24 4. 300g 6g 5. 7/12 3/5 3/4 3/8 6. 0. 25 0. 4 0. 67 0. 375 7. 4/5 3/20 3/8 3/4 8. 0. 1 1/10 0. 4 2/5 0. 75 3/4 0. 625 5/8 Sheet 6 Fractions of Quantities. doc 0. 833 (h)