Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

24th June 1997

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 = 16. Work out y when x = 2.
2
The Sine Rule3 marks
In triangle ABC, angle A is 51°, side a is 14 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red and 5 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 3, 2, 1, 0.5. Which class contains the median?
5
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).

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