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.A rectangular photo has length (x + 3) cm and width x cm. Its area is 40 cm². Work out the value of x.
- 2.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.
- 3.A plumber charges a call-out fee of £30 plus £25 per hour worked. Work out the total charge for a job that takes 3 hours.
- 4.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 5.The point B has coordinates (−2, −2). In which quadrant is B?
- 6.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 7.Solve 2x² − 32 = 0.
- 8.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
- 9.The first five square numbers are 1, 4, 9, 16, 25. Write down the next square number in the sequence.
- 10.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 11.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.
- 12.Solve 3(2x − 1) = 27
- 13.The formula for the profit, £P, made on an item is P = S − C, where S is the selling price and C is the cost price. Make S the subject of the formula.
- 14.The diagram shows the graph of a quadratic function. Write down the values of x where the graph crosses the x-axis.
- 15.Work out the value of 2(x + 2) when x = −5
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