Revision Library

revisionlibrary.co.uk

GCSE · Number

1.5D Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 30 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write the fraction 3/4 as an equivalent fraction with denominator 20.

(Total for Question 1 is 1 mark)

Write 5/6 as an equivalent fraction with denominator 18.

(Total for Question 2 is 1 mark)

State an equivalent fraction to 7/8 that has numerator 21.

(Total for Question 3 is 1 mark)

Write 2 1/2 as an improper fraction.

(Total for Question 4 is 1 mark)

Simplify 42/56 to its lowest terms.

(Total for Question 5 is 2 marks)

Simplify 45/60 to lowest terms.

(Total for Question 6 is 2 marks)

Simplify 14/49 to lowest terms.

(Total for Question 7 is 1 mark)

Simplify 56/90 to lowest terms.

(Total for Question 8 is 2 marks)

Order these fractions from smallest to largest: 3/5, 7/10, 2/3.

(Total for Question 9 is 2 marks)

Order these mixed numbers from largest to smallest: 2 1/4, 2 2/9, 2 1/3.

(Total for Question 10 is 2 marks)

Work out which is larger: 5/8 or 3/5. Give a reason for your answer.

(Total for Question 11 is 2 marks)

A recipe requires 3/2 cups of sugar. Emma has 1 1/4 cups. How much more sugar does she need? Give your answer as a fraction in lowest terms.

(Total for Question 12 is 3 marks)

Show that 7/9 + 5/6 = 29/18. Give the full working.

(Total for Question 13 is 3 marks)

Which of the following mixed numbers are equal? Explain fully.
1 3/5, 1 9/15, 1 6/10, 1 11/15

(Total for Question 14 is 4 marks)

Mark scheme · 1.5D Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill

Question 1

B1 15/20 cao
Answer: 15/20

Question 2

B1 15/18 cao
Answer: 15/18

Question 3

B1 21/24 cao
Answer: 21/24

Question 4

B1 5/2 cao
Answer: 5/2

Question 5

M1 divide numerator and denominator by a common factor, e.g. 14 oe
A1 3/4 cao
Answer: 3/4

Question 6

M1 divide numerator and denominator by a common factor, e.g. 15 oe
A1 3/4 cao
Answer: 3/4

Question 7

B1 2/7 cao
Answer: 2/7

Question 8

M1 divide numerator and denominator by 2 to 28/45 oe
A1 28/45 cao
Answer: 28/45

Question 9

M1 use common denominators or compare decimals, e.g. 3/5 = 6/10, 2/3 = 20/30 or 0.666... oe
A1 3/5, 2/3, 7/10 cao
Answer: 3/5, 2/3, 7/10

Question 10

M1 convert to improper fractions or compare decimals, e.g. 2 1/4 = 2.25, 2 2/9 approx 2.222..., 2 1/3 approx 2.333... oe
A1 2 1/3, 2 1/4, 2 2/9 cao
Answer: 2 1/3, 2 1/4, 2 2/9

Question 11

M1 compare by common denominator or cross-multiplication, e.g. 5/8 = 25/40, 3/5 = 24/40 oe
A1 5/8 is larger, with reason cao
Answer: 5/8 is larger because 25/40 > 24/40

Question 12

M1 convert 1 1/4 to an improper fraction, 5/4 oe
M1 subtract: 3/2 - 5/4 = 6/4 - 5/4 oe
A1 1/4 cao
Answer: 1/4

Question 13

M1 convert 7/9 to 14/18 cso
M1 convert 5/6 to 15/18 cso
A1 14/18 + 15/18 = 29/18 cso
Answer: 29/18

Question 14

M1 convert 3/5 to 9/15 oe
M1 convert 3/5 to 6/10 oe (or convert others to common denominator) oe
M1 identify that 1 3/5 = 1 9/15 = 1 6/10 oe
A1 state that 1 3/5, 1 9/15 and 1 6/10 are equal and 1 11/15 is different cao
Answer: 1 3/5, 1 9/15 and 1 6/10 are equal because 3/5 = 9/15 = 6/10; 1 11/15 is not equal to them.

Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill - Worksheets, Questions and Revision