Daily Practice

Higher Plus

5th November 1967

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 = 144. Work out y when x = 6.
2
The Cosine Rule3 marks
A triangle has sides of 10 cm and 16 cm with an angle of 124° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 3 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, 1, 2, 3. Which class contains the median?
5
Bounds3 marks
x = 102 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.

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