Daily Practice

Higher Plus

20th September 1960

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

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 1/2. Work out n.
2
Histograms3 marks
On a histogram the bar for 40 < x <= 60 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
4
Inverse and Composite Functions3 marks
f(x) = 2x + 2 and g(x) = 4x + 1. Work out fg(0).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.

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