Daily Practice

Higher Plus

5th February 1984

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 28/55. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
3
Bounds3 marks
x = 181 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.
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 inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.

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