Daily Practice

Higher Plus

11th December 1983

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 = 5, y = 64. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides of 18 cm and 8 cm with an angle of 96° 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 20-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
5
Bounds3 marks
x = 190 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.

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