Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

5th June 2022

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Solving Quadratics3 marks
Solve x^2 - 2x - 24 = 0.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 10. Work out y when x = 10.
4
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -5. Work out the gradient of a line perpendicular to it.
5
Conditional Probability3 marks
25 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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