Daily Practice

Higher Plus

17th July 1988

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides of 12 cm and 15 cm with an angle of 100° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Bounds3 marks
x = 36 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.

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