Daily Practice

Higher Plus

28th September 1954

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

1
Conditional Probability3 marks
A bag holds 7 red and 5 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 20 < x <= 30 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).
4
Factorising Harder Quadratics3 marks
Solve 5x^2 - 24x - 36 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.

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