Daily Practice

Higher

11th April 1973

5 questions · 13 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 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Solving Quadratics3 marks
Solve x^2 - x - 42 = 0.
3
Speed and Density2 marks
A block has volume 125 cm^3 and density 7.5 g/cm^3. Work out its mass.
4
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient 4. Work out the gradient of a line perpendicular to it.
5
Conditional Probability3 marks
14 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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