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 square has sides of length y cm. Write down an expression for the perimeter of the square.
- 2.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 3.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.
- 4.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.
- 5.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.
- 6.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?
- 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.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.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 10.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.
- 11.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.
- 12.Mia buys 3 identical notebooks and a pen costing £1.50. She pays a total of £9.90. Form an equation using n for the cost of one notebook, and solve it to find n.
- 13.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 14.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 15.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
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