Daily Practice

Higher Plus

4th July 1984

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/22. Work out r.
2
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 14 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Quadratic Inequalities3 marks
Solve x^2 - 3x + 2 < 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.

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