Daily Practice

Higher Plus

24th June 1954

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

1
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(32) + sqrt(98), giving your answer in the form a sqrt(b).
4
Inverse and Composite Functions3 marks
f(x) = 8x + 3. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.

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