Daily Practice

Higher Plus

11th April 1976

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

1
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
3
Bounds3 marks
x = 40 and y = 27, 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 = 841 and y = x + 1 simultaneously.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.

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