Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th June 1992

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 = 12. Work out y when x = 2.
2
The Cosine Rule3 marks
A triangle has sides of 12 cm and 5 cm with an angle of 75° 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 0.5, 2, 1, 3. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 21/sqrt(3), giving your answer in its simplest form.

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