Printable · GCSE Foundation · ages 14-16
Algebraic notation worksheet — GCSE Foundation
Fifteen questions on "algebraic notation" — DfE statement A1. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Algebraic notation worksheet — GCSE Foundation
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- 1.A taxi charges a £3 fixed fee plus £2 for each mile travelled. Write an expression, in pounds, for the total cost of a journey of n miles.
- 2.A ribbon of length L metres is cut into 5 equal pieces, and then 3 metres is removed from one piece. Write down an expression, in metres, for the length of that piece after 3 metres is removed.
- 3.Which expression means 'triple c, then add double d'?
- 4.a = 3 and b = 5. Work out the value of a²b.
- 5.Which expression means the same as a × a × a?
- 6.Tom buys 2 notebooks and 6 pencils on Monday, priced at p pence each for a notebook and q pence each for a pencil. On Tuesday he buys 3 more notebooks and 1 more pencil. Write a simplified expression, in pence, for the total amount Tom has spent on notebooks and pencils.
- 7.Write down the expression that means the same as w ÷ 6.
- 8.Which expression means the same as 3 × a × b?
- 9.Write down the expression that means the same as m × m × m × n.
- 10.Simplify k + k + k + k + k.
- 11.Write down the expression that means the same as 3 × y × y.
- 12.a = 2 and b = 5. Work out the value of a²b.
- 13.A rectangular field has length (3a + 2) metres and width (a − 1) metres. Write a simplified expression for the perimeter of the field.
- 14.Simplify p + p + p.
- 15.n = 3. Work out the value of (2n)².
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