Printable · GCSE Higher · ages 14-16
Algebraic notation worksheet — GCSE Higher
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.
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Algebraic notation worksheet — GCSE Higher
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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 rope of length L metres is cut into 6 equal pieces, and 4 metres is then removed from one piece. Write an expression, in metres, for the length of that piece after the cut.
- 3.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.
- 4.Which expression means 'triple c, then add double d'?
- 5.p = 4. Work out the value of 2p³.
- 6.Write down the expression that means the same as m² × m × 3.
- 7.a = 2 and b = 5. Work out the value of a²b.
- 8.Write down the expression that means the same as (x + 7) ÷ 4.
- 9.x = 5. Work out the value of 3x² − 4.
- 10.Write down the expression that means 5 more than half of n.
- 11.Write down the coefficient of xy in the expression 4x²y − 7xy + 2.
- 12.Which expression means 'y squared, multiplied by 3'?
- 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.Which expression means 'add 3 to n, then multiply the result by 4'?
- 15.n = 3. Work out the value of (2n)².
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