Edexcel GCSE Maths

Topic Questions

Algebraic Fractions

1
Sme Calculator
3 marks

Write as a single fraction in its simplest form

fraction numerator 2 over denominator y plus 3 end fraction space minus space fraction numerator 1 over denominator y minus 6 end fraction

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2
Sme Calculator
3 marks

Write     fraction numerator 5 over denominator x minus 3 end fraction minus fraction numerator 4 over denominator x plus 3 end fraction  as a single fraction in its simplest form.

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3
Sme Calculator
3 marks

Simplify        fraction numerator x plus 1 over denominator 2 end fraction space plus space fraction numerator x plus 3 over denominator 3 end fraction

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4
Sme Calculator
2 marks

Simplify   fraction numerator 4 open parentheses x plus 5 close parentheses over denominator x squared space plus 2 x minus 15 end fraction

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5
Sme Calculator
1 mark

Simplify       fraction numerator 3 open parentheses x plus 1 close parentheses over denominator open parentheses x plus 1 close parentheses squared end fraction

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6
Sme Calculator
3 marks

Express

3 over x plus fraction numerator x plus 2 over denominator 2 x end fraction plus 1 fourth

as a single fraction in its simplest form.

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7
Sme Calculator
3 marks

Express fraction numerator 4 over denominator x minus 2 end fraction minus fraction numerator 3 over denominator x plus 1 end fraction as a single fraction.

Give your answer in its simplest form.

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8
Sme Calculator
3 marks

Write fraction numerator 2 x plus 1 over denominator 4 end fraction plus fraction numerator x minus 2 over denominator 3 end fraction as a single fraction in its simplest form.

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9
Sme Calculator
2 marks

Write as a single fraction  fraction numerator 2 over denominator 3 x end fraction plus fraction numerator 4 over denominator 5 x end fraction minus fraction numerator 9 over denominator 10 x end fraction

Give your answer in its simplest form.

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10
Sme Calculator
3 marks

Simplify fully fraction numerator 10 x squared space plus space 23 x space plus 12 over denominator 4 x squared space minus space 9 end fraction

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11
Sme Calculator
1 mark

Simplify  3 over x plus 4 over x

Circle your answer.

7 over x fraction numerator 7 over denominator 2 x end fraction 12 over x 12 over x squared

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12
Sme Calculator
2 marks

Simplify  fraction numerator 25 a over denominator 8 end fraction cross times fraction numerator 2 a over denominator 5 end fraction

Give your answer as a single fraction in its simplest form.

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13
Sme Calculator
3 marks

Show that, for x not equal to space 0

   fraction numerator x plus 4 over denominator 3 x end fraction space minus space fraction numerator 5 over denominator 2 x end fraction

can be written in the form  fraction numerator a x space plus space b over denominator c x end fraction where a, b and c are integers.

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14
Sme Calculator
1 mark

Circle the expression that is equivalent to fraction numerator 3 x squared over denominator 6 x squared space plus space 3 end fraction

fraction numerator x squared over denominator 2 x squared plus space 3 end fraction fraction numerator x squared over denominator 6 x squared plus space 1 end fraction fraction numerator x squared over denominator 2 x squared plus space 1 end fraction 1 half plus space x squared

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15
Sme Calculator
3 marks

Write as a single fraction in its simplest form.

fraction numerator 3 over denominator x minus 1 end fraction plus fraction numerator 4 over denominator x plus 2 end fraction

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16
Sme Calculator
2 marks

Express as a single fraction.

fraction numerator m plus 1 over denominator n plus 1 end fraction minus m over n

Simplify your answer.

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