Daily Practice

Higher Plus

18th April 1971

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 16.
2
The Cosine Rule3 marks
A triangle has sides of 9 cm and 5 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 4 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 3, 2, 0.5, 1. Which class contains the median?
5
Bounds3 marks
x = 56 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.

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