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.
Forming and solving equations from situations worksheet — GCSE Foundation
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- 1.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.
- 2.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.
- 3.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.
- 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.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 6.Yusuf has £40 saved and adds £6 each week. His sister Aisha has £10 saved and adds £11 each week. After how many weeks will they have saved the same amount?
- 7.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 8.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 9.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 10.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 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.Two numbers have a sum of 45. The larger number is 9 more than the smaller number. Form an equation using n for the smaller number, and solve it to find the larger number.
- 13.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.
- 14.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.
- 15.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.
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