Daily Practice

Higher Plus

12th November 1982

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 16/sqrt(2), giving your answer in its simplest form.
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x - 11.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.

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