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.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 2.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 3.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 4.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 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 number, n, is tripled and then 4.5 is added. The result is 22.5. Form an equation and solve it to find n.
- 7.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.
- 8.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 9.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.
- 10.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 11.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.
- 12.A taxi charges a fixed fee of £3 plus £2 for every mile travelled. The journey is m miles. Write down an expression for the total cost, in pounds.
- 13.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.
- 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 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.
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