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 length k cm and width 5 cm less than its length. Write down an expression for the width of the rectangle, in cm.
- 2.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.
- 3.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.
- 4.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.
- 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.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.
- 7.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 8.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.
- 9.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 10.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 11.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 12.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 13.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 14.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.
- 15.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
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