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.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 2.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 3.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 4.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.
- 5.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.
- 6.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.
- 7.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 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.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.
- 10.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 11.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 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.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 15.Mia buys 3 identical notebooks and a pen costing £1.50. She pays a total of £9.90. Form an equation using n for the cost of one notebook, and solve it to find n.
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