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.
Non-calculator
Forming and solving equations from situations worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 2.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.
- 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.A taxi charges a fixed fee of £3 plus £2 for every mile travelled. The journey is m miles. Write down an expression for the total cost, in pounds.
- 5.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?
- 6.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 7.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 8.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.
- 9.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 10.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 11.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 12.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.
- 13.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 14.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 15.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.
Build your own mix at the worksheet builder.