Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
26th April 2025
- 1The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2Solving Quadratics3 marks
Solve x^2 - 4x - 21 = 0.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 8.
- 4Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -3. Work out the gradient of a line perpendicular to it.
- 5Conditional Probability3 marks
17 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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