Edexcel gcse mathematics (Linear) – 1MA0 Algebraic Fractions Materials required for examination Items included with question papers

Edexcel GCSE

Mathematics (Linear) – 1MA0    

Algebraic Fractions

Materials required for examination 

Items included with question papers

Ruler graduated in centimetres and

Nil

millimetres, protractor, compasses,

pen, HB pencil, eraser.

Tracing paper may be used.

Instructions

Use black ink or ball-point pen. 

Fill in the boxes at the top of this page with your name, centre number and candidate number. 

Answer all questions.

Answer the questions in the spaces provided – there may be more space than you need. 

Calculators must not be used.

Information

The total mark for this paper is 100.

The marks for each question are shown in brackets – use this as a guide as to how much time to 

spend on each question.

Questions labelled with an asterisk (*) are ones where the quality of your written 

communication will be assessed – you should take particular care on these questions with your 

spelling, punctuation and grammar, as well as the clarity of expression.

Advice

Read each question carefully before you start to answer it. 

Keep an eye on the time.

Try to answer every question.

Check your answers if you have time at the end.

1.

Simplify fully

x

x

x

x

2

2

3

8

15

−

−

+

…………………….

(3)

(Total 3 marks)

2.

(a)

Simplify 

2

2

4

20

ab

a

.....................................

(2)

 (b) Simplify 

9

–

3

–

2

x

x

.....................................

(2)

(Total 4 marks)

3.

Simplify fully

25

20

4

2

−

−

a

a

.....................................

(Total 3 marks)

2

4.

Simplify 

2

6

5

2

+

+

+

x

x

x

..............................................

(Total 2 marks)

5.

Simplify

3

5

2

9

4

2

2

+

−

−

x

x

x

.....................................

(Total 3marks)

6.

Write as a single fraction 

)

3

(

5

)

3

(

4

+

+

+

x

x

x

.....................................

(Total 2 marks)

3

7.

Write as a single fraction in its simplest form

3

1

5

4

−

+

+

x

x

.....................................

(Total 4 marks)

8.

Simplify fully

1

–

4

)

1

2

(

3

2

x

x

+

.....................................

(Total 2 marks)

4

9.

Solve the equation

1

1

4

3

–

2

=

+

+

x

x

x

x = .................................

(Total 5 marks)

10. Simplify fully 

4

6

3

2

−

+

x

x

.....................................

(Total 3 marks)

5

11. Solve the equation

9

–

5

3

–

4

–

3

3

2

x

x

x

x

=

+

x = .....................................

(Total 4 marks)

12. Solve 

7

+

4

=

3

)

1

+

2

(

5

x

x

x = ...............................

(Total 3 marks)

6

13. 

Simplify

1

6

9

3

7

6

2

2

+

−

−

+

x

x

x

x

……………………………

(3)

(Total 5 marks)

 14. (a) Solve

3

–

40 x

 = 4 + x

x = ....................

(3)

 (b) Simplify fully

9

–

4

6

–

4

2

2

x

x

x

........................................

(3)

(Total 6 marks)

7

15. (a) Solve 

x

3

 + 

x

2

3

 = 2

x=.....................................

(2)

(b) Using your answer to part (a), or otherwise,

solve

(

)

(

)

2

1

–

2

3

1

–

3

2

2

=

+

y

y

y = .....................................

or y = .....................................

(3)

(Total 5 marks)

8