Daily Practice · Higher Plus

Daily Practice - Higher Plus

25th April 1997

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 = 25, y = 25. Work out y when x = 16.
2
The Sine Rule3 marks
In triangle ABC, angle A is 35°, side a is 18 cm and side b is 6 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
5
Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.

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