Printable · GCSE Foundation · ages 14-16
Algebra worksheet — GCSE Foundation
Fifteen questions across the algebra statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Foundation
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- 1.Which expression means the same as a × a × a?
- 2.A wall is tiled in rows, and every row uses the same number of tiles. One row uses 10 tiles, two rows use 20 tiles and three rows use 30 tiles. Work out how many tiles are needed for 7 rows.
- 3.Work out the equation of the straight line through the points (−2, 1) and (0, 7).
- 4.Which of these is a term, rather than a whole expression, an equation, or a formula?
- 5.Solve 4x + 3 = 19
- 6.Expand 2(x − 13)
- 7.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 8.The point A lies on the x-axis. Which statement about A must be true?
- 9.Which expression is equivalent to 0.5(4x + 6) − x?
- 10.A gym charges a joining fee plus a monthly fee. Anna paid £100 in total after 3 months of membership. Ben paid £160 in total after 6 months of membership (same joining fee and monthly fee as Anna). Work out the monthly fee.
- 11.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.
- 12.A formula is F = 4s. A pupil says that when s = 5 the value of F is 9, because they added 4 and 5 instead of multiplying. Work out the correct value of F when s = 5.
- 13.A car passes the 15 km marker on a road and passes the 195 km marker 3 hours later. Work out the gradient of the distance-time graph, that is the rate of change of distance with time.
- 14.a = 2 and b = 5. Work out the value of a²b.
- 15.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.
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