Daily Practice

Higher Plus

8th June 1984

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 = 10. Work out y when x = 64.
2
The Cosine Rule3 marks
A triangle has sides of 12 cm and 9 cm with an angle of 36° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 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 10-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.

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