Daily Practice

Higher

25th November 1989

5 questions · 15 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
Quadratic Formula3 marks
Work out the discriminant of 4x^2 - 3x + 2 = 0 and say how many real solutions it has.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 8.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 2. The smaller has an area of 5 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
23 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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