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.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.
- 2.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 3.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.
- 4.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.
- 5.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 6.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 7.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.
- 8.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.
- 9.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 10.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.
- 11.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 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.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 14.Explain why the equation 4x + 3 = 4x + 10 has no solution for x.
- 15.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
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