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 box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 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.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.A square has sides of length y cm. Write down an expression for the perimeter of the square.
- 6.A phone plan costs a fixed £15 per month plus 8p per minute of calls. In one month, Jamal's bill was £23.80. Form an equation using m for the number of minutes, and solve it to find how many minutes Jamal used that month.
- 7.Grace has t books. Noah has 1 book fewer than Grace. Write down an expression for the number of books Noah has.
- 8.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 9.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.
- 10.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 11.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 12.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.
- 13.Leo is three times as old as his brother. His brother is x years old. Write down an expression for Leo's age.
- 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.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.
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