Daily Practice

Higher Plus

12th December 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) = 3/28. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 2, 3. Which class contains the median?
3
Bounds3 marks
x = 130 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Factorising Harder Quadratics3 marks
Solve 6x^2 + 19x + 15 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 36.

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