Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

27th May 2005

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 40 < x <= 45 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
4
Inverse and Composite Functions3 marks
f(x) = 2x + 4 and g(x) = 6x + 7. Work out fg(3).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.

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