Daily Practice

Higher Plus

16th August 1953

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 30 < x <= 35 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
x = 119 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Factorising Harder Quadratics3 marks
Solve 4x^2 + 20x + 25 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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