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.
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Forming and solving equations from situations worksheet — GCSE Foundation
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- 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.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 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.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.
- 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.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 7.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 8.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 9.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 10.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.
- 11.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.
- 12.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.
- 13.A rectangle has length k cm and width 5 cm less than its length. Write down an expression for the width of the rectangle, in cm.
- 14.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 15.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.
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