Daily Practice

Higher Plus

4th March 1989

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

1
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 6 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 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 310 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
Transforming Graphs y=f(x)3 marks
The point (-3, 0) lies on y = f(x). Write down its image on y = f(x) - 1.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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