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 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.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 3.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 4.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.
- 5.The mean of four numbers is 12.5. Three of the numbers are 8, 15 and 19. Form an equation using n for the fourth number, and solve it to find n.
- 6.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 7.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 8.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.
- 9.A phone plan costs a fixed £15 per month plus 8p per minute of calls. In one month, Jamal's bill was £23.80. Form an equation using m for the number of minutes, and solve it to find how many minutes Jamal used that month.
- 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.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.
- 12.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?
- 13.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.
- 14.Explain why the equation 4x + 3 = 4x + 10 has no solution for x.
- 15.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.
Build your own mix at the worksheet builder.