Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2Solving Quadratics3 marks
Solve x^2 - 8x + 15 = 0.
- 3Repeated Percentage Change3 marks
A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 4. Work out the gradient of a line perpendicular to it.
- 5Conditional Probability3 marks
26 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of June 2009, including the monthly compilation PDF.