Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

15 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

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GCSE · Number

1.5DB Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 30 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Find the missing denominator: 5/8 = 15/___

(Total for Question 1 is 1 mark)

Find the missing numerator: 7/9 = ___ /36

(Total for Question 2 is 1 mark)

Write 17/5 as a mixed number.

(Total for Question 3 is 1 mark)

Simplify 16/20 to its lowest terms.

(Total for Question 4 is 1 mark)

Simplify 36/48 to its lowest terms.

(Total for Question 5 is 2 marks)

In a school raffle, 32 out of 72 tickets sold were bought by Year 11 students. Write the fraction of tickets bought by Year 11 students in its simplest form.

(Total for Question 6 is 2 marks)

Priya simplifies 45/75 like this:
45/75 = 45/75 divided by 5 = 9/15
She says 9/15 is the simplest form. Explain why Priya is wrong, and write 45/75 in its simplest form.

(Total for Question 7 is 2 marks)

State whether 28/42 is written in its simplest form. Give a reason.

(Total for Question 8 is 1 mark)

Order these fractions from smallest to largest: 5/6, 7/12, 2/3, 3/4.

(Total for Question 9 is 2 marks)

The table shows the distance four runners completed of a fun run, given as a fraction of the full course.

Runner	Distance completed
Amara	1 3/4
Ben	1 7/10
Chidi	1 4/5
Delyth	1 13/20

Order the runners from the least distance completed to the greatest.

(Total for Question 10 is 2 marks)

Find a fraction that lies between 2/5 and 1/2. Give your answer as a fraction in its simplest form.

(Total for Question 11 is 2 marks)

The diagram shows a rectangle divided into 10 equal strips, with 6 strips shaded. Work out the shaded fraction of the rectangle in its simplest form, and state whether more or less than half the rectangle is shaded.

Figure (to be drawn): A rectangle divided into 10 equal vertical strips of the same width; 6 of the strips (from the left) are shaded, the remaining 4 are unshaded, no numbers or labels on the strips themselves

(Total for Question 12 is 2 marks)

A carpenter has a plank of wood. She uses 2/5 of the plank for a shelf and 1/4 of the plank for a bracket. What fraction of the plank remains? Give your answer in its simplest form.

(Total for Question 13 is 3 marks)

Show that 1/4 + 1/6 + 1/3 = 3/4. Give the full working.

(Total for Question 14 is 3 marks)

Three of these four fractions are equal to each other. The fourth is not.
5/8, 15/24, 20/32, 30/50
Identify which fraction is not equal to the other three. Show working to justify your answer.

(Total for Question 15 is 4 marks)

Mark scheme · 1.5DB Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill (Part 2)

Question 1

B1 24 cao
Answer: 24

Question 2

B1 28 cao
Answer: 28

Question 3

B1 3 2/5 cao
Answer: 3 2/5

Question 4

B1 4/5 cao
Answer: 4/5

Question 5

M1 divide numerator and denominator by a common factor, e.g. 12 oe
A1 3/4 cao
Answer: 3/4

Question 6

M1 divide numerator and denominator by a common factor, e.g. 8 oe
A1 4/9 cao
Answer: 4/9

Question 7

C1 identify that 9/15 still has a common factor of 3, so it is not fully simplified oe
A1 3/5 cao
Answer: 3/5, because 9/15 still has a common factor of 3 which Priya did not divide out

Question 8

B1 No, because 28 and 42 have a common factor of 14 (28/42 = 2/3) oe
Answer: No, because 28 and 42 share a common factor of 14 (28/42 simplifies to 2/3)

Question 9

M1 convert to a common denominator, e.g. 10/12, 7/12, 8/12, 9/12 oe
A1 7/12, 2/3, 3/4, 5/6 cao
Answer: 7/12, 2/3, 3/4, 5/6

Question 10

M1 convert to a common denominator, e.g. 1 15/20, 1 14/20, 1 16/20, 1 13/20 oe
A1 Delyth, Ben, Amara, Chidi cao
Answer: Delyth, Ben, Amara, Chidi

Question 11

M1 convert to a common denominator, e.g. 8/20 and 10/20 oe
A1 9/20 (accept any fraction strictly between 2/5 and 1/2) oe
Answer: 9/20 (accept any valid fraction between 2/5 and 1/2)

Question 12

M1 simplify 6/10, e.g. divide by 2 oe
A1 3/5, more than half cao
Answer: 3/5, which is more than half

Question 13

M1 convert to a common denominator, e.g. 8/20 and 5/20 oe
M1 add to find total used, 13/20 oe
A1 7/20 cao
Answer: 7/20

Question 14

M1 convert 1/4 to 3/12 and 1/6 to 2/12 cso
M1 convert 1/3 to 4/12 cso
A1 3/12 + 2/12 + 4/12 = 9/12 = 3/4 cso
Answer: 3/4

Question 15

M1 simplify 15/24 to 5/8 oe
M1 simplify 20/32 to 5/8 oe
M1 simplify 30/50 to 3/5 oe
A1 state that 30/50 is not equal to the others (it simplifies to 3/5, not 5/8) cao
Answer: 30/50 (it simplifies to 3/5, not 5/8 like the other three)

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Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

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1.5DB Writing, Simplifying and Ordering Fractions: Fluency and Exam Drill (Part 2)

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