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.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 3.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.
- 4.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 5.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.
- 6.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.
- 7.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?
- 8.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.
- 9.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.
- 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.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.
- 12.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 13.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.
- 14.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 15.Ethan is 10 years old and his father is 40 years old. Work out how many years ago Ethan's father was seven times as old as Ethan.
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