Calculate and simplify where possible: 3/5 - 1/10.
(1)
5
Work out 5/6 - 1/4. Give your answer in simplest form.
(2)
6
Write these mixed numbers as improper fractions: (a) 3 1/4 (b) 2 3/7
(2)
7
Add these mixed numbers: 1 1/2 + 2 3/4. Give your answer as a mixed number in simplest form.
(2)
8
Work out 5 1/3 - 2 5/6. Give your answer in simplest form.
(2)
9
A recipe needs 5/6 cup of sugar. Mia has already added 1/4 cup. How much more sugar does she need? Give your answer in simplest form.
(2)
10
Subtract and simplify: 9/10 - 2/5.
(2)
11
Write this as a fraction in simplest form: 7/8 - 1/4.
(2)
12
Write 5/6 with denominator 18.
(1)
13
Calculate and simplify where possible: 1/4 + 1/8.
(1)
14
Simplify fully, showing your working: 2/3 + 1/6 - 1/2.
(2)
15
A runner covers 3 1/2 km on Monday and 2 3/4 km on Tuesday. How far does she run in total over the two days? Give your answer as a mixed number.
(3)
16
A tin holds 4 1/5 litres of paint. A decorator uses 1 3/10 litres on one wall and 3/4 litre on another. How much paint is left in the tin? Give your answer in simplest form.
(3)
17
Three friends paint a fence together. Priya paints 2/5 of the fence and Sam paints 3/10 of the fence. Alex paints the rest. What fraction of the fence does Alex paint? Give your answer in simplest form.
(3)
18
A ribbon is 6 3/4 m long. Three pieces are cut from it: 1 1/2 m, 2 1/5 m and 7/10 m. How much ribbon remains? Give your answer in simplest form, and state whether more than 2 m of ribbon is left.
(3)
19
Work out and simplify: 3 1/6 - 1 3/4 + 2/3.
(3)
20
A water tank holds 12 litres when full. A tap removes 3 1/2 litres, then a hose adds 1 3/4 litres, then the tap removes another 2 1/5 litres. How much water is in the tank now? Give your answer as a mixed number, and state whether the tank is more than half full (half full = 6 litres).
(3)
Mark scheme · KS3.M-N9D Fractions: Adding and Subtracting: Fluency and Exam Drill
Question 1
B1 15/20 cao
Answer: 15/20
Question 2
B1 15/21 cao
Answer: 15/21
Question 3
B1 4/9 cao
Answer: 4/9
Question 4
B1 1/2 cao
Answer: 1/2
Question 5
M1 correctly converts both fractions to twelfths, 10/12 and 3/12
A1 7/12 cao
Answer: 7/12
Question 6
B1 13/4 cao
B1 17/7 cao
Answer: 13/4 and 17/7
Question 7
M1 correctly converts to improper fractions or a common denominator, 6/4 and 11/4
A1 4 1/4 cao
Answer: 4 1/4
Question 8
M1 correctly converts to sixths, 32/6 and 17/6
A1 2 1/2 cao
Answer: 2 1/2
Question 9
M1 correctly converts both fractions to twelfths, 10/12 and 3/12
A1 7/12 cup cao
Answer: 7/12 cup
Question 10
M1 correctly converts to tenths, 9/10 and 4/10
A1 1/2 cao
Answer: 1/2
Question 11
M1 correctly converts to eighths, 7/8 and 2/8
A1 5/8 cao
Answer: 5/8
Question 12
B1 15/18 cao
Answer: 15/18
Question 13
B1 3/8 cao
Answer: 3/8
Question 14
M1 correctly converts all three fractions to sixths, 4/6, 1/6 and 3/6
A1 1/3 cao
Answer: 1/3
Question 15
M1 correctly converts to a common denominator or improper fractions, 14/4 and 11/4
M1 correctly adds, 25/4
A1 6 1/4 km cao
Answer: 6 1/4 km
Question 16
M1 correctly finds the total paint used, converting to twentieths, 26/20 + 15/20 = 41/20
M1 correctly converts 4 1/5 to twentieths, 84/20, and subtracts
A1 2 3/20 litres cao
Answer: 2 3/20 litres
Question 17
M1 correctly converts to tenths, 4/10 and 3/10
M1 correctly finds the total painted by Priya and Sam, 7/10, and subtracts from 1
A1 3/10 cao
Answer: 3/10
Question 18
M1 correctly finds the total length cut, converting to tenths, 15/10 + 22/10 + 7/10 = 44/10 = 4 2/5
M1 correctly converts 6 3/4 and 4 2/5 to twentieths and subtracts, 135/20 - 88/20
A1 2 7/20 m cao, and correctly states this is more than 2 m
Answer: 2 7/20 m, which is more than 2 m
Question 19
M1 correctly converts all three values to twelfths, 38/12, 21/12 and 8/12