Writing an Expression worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

1. 3 marks

   Owen thinks of a number, \(n\).

   (a)

   Owen multiplies the number by 2 and then subtracts 12.

   Write an expression, in terms of \(n\), for his answer.

   (b)

   Owen then multiplies his answer by 2.

   Write an expression, in terms of \(n\), for his new answer. Give your expression in its simplest form.

2. 3 marks

   Leo is \(x\) years old.

   (a)

   Oscar is 7 years older than Leo.

   Write an expression, in terms of \(x\), for Oscar's age.

   (b)

   Write an expression, in terms of \(x\), for the total of Leo's age and Oscar's age.

   Give your expression in its simplest form.

3. 3 marks

   A pen costs \(p\) pence.

   (a)

   A pencil costs 10 pence less than a pen.

   Write an expression, in terms of \(p\), for the cost of a pencil, in pence.

   (b)

   Rosa buys 6 pens and 4 pencils.

   Write an expression, in terms of \(p\), for the total amount she pays, in pence. Give your expression in its simplest form.

4. 2 marks

   Joel is a plumber. He charges £30 for each hour he works, plus a fixed call-out fee of £10.

   Write an expression, in terms of \(h\), for the total charge, in pounds, for a job that lasts \(h\) hours.

5. 3 marks

   A rectangle has width \(w\) cm.

   (a)

   The length of the rectangle is 10 cm more than its width.

   Write an expression, in terms of \(w\), for the perimeter of the rectangle, in centimetres. Give your expression in its simplest form.

   (b)

   Work out the perimeter of the rectangle when \(w = 3\) cm.

6. 3 marks

   Ben thinks of a number, \(n\).

   (a)

   Ben multiplies the number by 2 and then subtracts 9.

   Write an expression, in terms of \(n\), for his answer.

   (b)

   Ben then multiplies his answer by 3.

   Write an expression, in terms of \(n\), for his new answer. Give your expression in its simplest form.

7. 3 marks

   Dan is \(x\) years old.

   (a)

   Rafi is 7 years older than Dan.

   Write an expression, in terms of \(x\), for Rafi's age.

   (b)

   Write an expression, in terms of \(x\), for the total of Dan's age and Rafi's age.

   Give your expression in its simplest form.

8. 3 marks

   A pen costs \(p\) pence.

   (a)

   A pencil costs 25 pence less than a pen.

   Write an expression, in terms of \(p\), for the cost of a pencil, in pence.

   (b)

   Noah buys 8 pens and 8 pencils.

   Write an expression, in terms of \(p\), for the total amount he pays, in pence. Give your expression in its simplest form.

9. 2 marks

   Karl is a roofer. He charges £45 for each hour he works, plus a fixed call-out fee of £60.

   Write an expression, in terms of \(h\), for the total charge, in pounds, for a job that lasts \(h\) hours.

10. 3 marks

    A rectangle has width \(w\) cm.

    (a)

    The length of the rectangle is 7 cm more than its width.

    Write an expression, in terms of \(w\), for the perimeter of the rectangle, in centimetres. Give your expression in its simplest form.

    (b)

    Work out the perimeter of the rectangle when \(w = 6\) cm.

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