Daily Practice

Higher Plus

6th November 1982

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

1
Conditional Probability3 marks
A bag holds 4 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 2, 1. Which class contains the median?
3
Bounds3 marks
A car covers 130 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Completing the Square3 marks
Write x^2 - 10x - 10 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.

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