Daily Practice

Higher Plus

26th April 1979

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

1
Conditional Probability3 marks
A bag holds 3 red, 6 blue and 5 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 <= 60 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Simplify sqrt(20) + sqrt(80), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 15x^2 + 14x - 8 = 0.
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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