Daily Practice

Higher Plus

15th August 1967

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.

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