Daily Practice

Higher Plus

18th November 1958

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
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
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
4
Proof2 marks
In an algebraic proof, how would you write a multiple of 8 in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.

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