Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th August 1996

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

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.

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