Daily Practice

Higher

25th September 1987

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

1
The 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?
2
Solving Quadratics3 marks
Solve x^2 + 13x + 40 = 0.
3
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 2, y = 14. Work out y when x = 7.
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
16 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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