Daily Practice

Higher Plus

18th July 1986

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

1
Conditional Probability3 marks
A bag holds 7 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 40 < x <= 45 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.
4
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 6 = y(x + 6).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.

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