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