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.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?
- 2.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.
- 3.A box contains 6 chocolates. Write down an expression for the total number of chocolates in c boxes.
- 4.Six years ago Harry was three times as old as his brother Leo. Harry is now 24 years old. Work out Leo's age now.
- 5.Sophie's mother is 34 years old. In x years' time she will be 50 years old. Work out the value of x.
- 6.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.
- 7.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.
- 8.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.
- 9.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 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 square has sides of length y cm. Write down an expression for the perimeter of the square.
- 12.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.
- 13.Explain why the equation 4x + 3 = 4x + 10 has no solution for x.
- 14.Oliver buys b pens. Each pen costs £2. Write down an expression for the total cost, in pounds.
- 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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