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.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.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.
- 4.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 5.Explain why the equation 4x + 3 = 4x + 10 has no solution for x.
- 6.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 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.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 10.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 11.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.
- 12.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.
- 13.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.
- 14.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.
- 15.Two brothers have ages that add up to 30. The elder brother is 6 years older than the younger brother. Work out the age of the younger brother.
Build your own mix at the worksheet builder.