Daily Practice

Higher Plus

27th December 1978

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 2 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 50 < x <= 55 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 9 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.

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