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.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.
- 2.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 3.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.
- 4.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 5.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 6.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 7.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 8.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 9.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.
- 10.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.
- 11.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.
- 12.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 13.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 14.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 15.A rectangle has width x cm. Its length is 3 cm more than its width. The perimeter of the rectangle is 38 cm. Form an equation and solve it to find x.
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