Daily Practice · Higher Plus

Daily Practice - Higher Plus

2nd November 1993

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

1
Conditional Probability3 marks
A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
4
Factorising Harder Quadratics3 marks
Solve 12x^2 - 13x + 3 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.

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