Daily Practice

Higher Plus

28th July 1984

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

1
Conditional Probability3 marks
A bag holds 6 red, 3 blue and 3 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 <= 70 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A car covers 810 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.

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