Daily Practice · Higher Plus

Daily Practice - Higher Plus

24th January 1992

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) = 5/33. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
4
Completing the Square3 marks
Write x^2 + 2x + 11 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.

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