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.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 2.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.
- 3.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 4.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 5.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 6.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.
- 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.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 9.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.
- 10.A number, n, is tripled and then 4.5 is added. The result is 22.5. Form an equation and solve it to find n.
- 11.Yuki is y years old. Her brother is 4 years younger than Yuki. Write down an expression, in terms of y, for the brother's age in 5 years' time.
- 12.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 13.A cinema sells adult tickets for £10 and child tickets for £6. A family group buys 9 tickets in total, spending £74. Work out how many adult tickets were bought.
- 14.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 15.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.
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