Printable · GCSE Foundation · ages 14-16
Forming and solving equations from situations worksheet — GCSE Foundation
Fifteen questions on "forming and solving equations from situations" — DfE statement A21. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Forming and solving equations from situations worksheet — GCSE Foundation
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- 1.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 2.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 3.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 4.Harry is 14 years old and Mia is 8 years old. Will Harry ever be exactly twice as old as Mia? Give a reason for your answer.
- 5.A scout leader is 44 years old and one of the scouts is 16 years old. Work out how many years it will be until the leader is exactly twice as old as the scout.
- 6.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 7.A plumber charges a call-out fee of £30 plus £25 for each hour worked. The total bill for a job was £130. Work out how many hours the plumber worked.
- 8.Amelia's mother is three times as old as Amelia. Four years ago her mother was five times as old as Amelia was then. Work out Amelia's age now.
- 9.Six years ago Harry was three times as old as his brother Leo. Harry is now 24 years old. Work out Leo's age now.
- 10.Ethan is 10 years old and his father is 40 years old. Work out how many years ago Ethan's father was seven times as old as Ethan.
- 11.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 12.A rectangle has width x cm. Its length is 3 cm more than its width. The perimeter of the rectangle is 38 cm. Form an equation and solve it to find x.
- 13.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 14.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.
- 15.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
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