Daily Practice

Higher Plus

9th July 1974

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 45 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
4
Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.

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