Fractions
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Topic outline
[1]
(a) Each triangle in the shape below is the same size. What fraction of the shape is shaded?
(b) The diagram below is made of triangles of equal size. Shade 1/4 of the diagram.
(c) The diagram below is made up of squares of equal size. What fraction of the diagram is shaded?
(d) The shape below is divided into 4 equal parts. Shade 3/4 of the shape.
(e) The shape below is made up of squares of equal size. What fraction of the shape is shaded?
(f) Ten circles are shown below. Shade 1/5 of them.
[2]
Solve the following fractions.
(a) 2/7 + 4/7
(b) 1 - 5/9
(c) 3.5 + 1/3
(d) 5/9 + 2/9
(e) 7/11 - 3/11
(f) 3/5 + 1/4
[3]
Solve the following.
(a) 1 and 5/6 divided by 3/4
(b) 1/3 of a number is 21. What is the number?
(c) A bag of flour has a mass of 1 and 3/4 kg. What would be the mass of 5 similar bags of flour?
(d) A cup when full contains 3/10 litres of water A bucket when full contains 6 lites of water, How many of these cups are needed to fill the bucket completely?
[4]
(a) In a class of 28 pupils, 3/7 of the pupils live in Black Rock. How many pupils do NOT live in Black Rock?
(b) Joanne gave 2/5 of her grapges to her friend, Che. Che received 10 grapes. How many grapes did Joanne keep?
[5]
(a) Write 11/25 as a percentage.
(b) Write 2/5 as a decimal fraction.
(c) Write 3/10 as a decimal.
(d) Write 6/8 as a percentage.
(e) Write 5/8 as a decimal fraction.
[6]
(a) Write 9/12 as a fraction in its lowest terms.
(b) Write 29&% as a fraction.
(c) Express 19/100 as a decimal.
(d) Write 25% as a fraction.
(e) Write 0.55 as a fraction in its lowest terms.
[7]
(a) Jason and Allan together have 40 marbles. Jason as 1/4 of the number of marbles owned by Allan. How many marbles does Allan have?
(b) Find 3/4 of 20.
(c) Choose the correct symbol to correctly complete the statement below.
[8]
(a) A postman delivred 11 letters to an office and 7 letters to a gift shop. He had 2/5 of the letters left to delivered. How many parcels does he still have to deliver?
(b) Kyle has 750 stickers. Of these, 350 are Pokemon, 2/5 is Spiderman and the remainder are Yugioh. What fraction of the stcikers is Yugioh?
[9]
A framer has 60 acres of land. He plants 1/4 of the land in yams, 1/3 of the land in potatoes and the remainder in okras. How many acres of the land contain okras?
[10]
A vendor sold 560 fruits. 1/4 of them was oranges, 3/5 was mangoes and the rest was bananas. How many bananas were sold?
