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
MathsUKwww.geekhero.co.uk
- 1.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 2.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 3.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.
- 4.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.
- 5.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.
- 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.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 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 tripled and then 4.5 is added. The result is 22.5. Form an equation and solve it to find n.
- 11.Six years ago Harry was three times as old as his brother Leo. Harry is now 24 years old. Work out Leo's age now.
- 12.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.
- 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 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.
- 15.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
Build your own mix at the worksheet builder.