Daily Practice

Higher Plus

27th June 1990

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

1
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 18 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Factorising Harder Quadratics3 marks
Solve 15x^2 + 28x + 12 = 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 = 5.

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