Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th November 2019

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 x^3. When x = 2, y = 32. Work out y when x = 4.
2
The Sine Rule3 marks
In triangle ABC, angle A is 55°, side a is 18 cm and side b is 13 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).

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