Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd February 2026
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
- 2The Sine Rule3 marks
In triangle ABC, angle A is 42°, side a is 19 cm and side b is 15 cm. Work out the acute angle B, to 1 decimal place.
- 3Conditional Probability3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 4Histograms3 marks
On a histogram the bar for 10 < x <= 20 has a frequency density of 0.4. How many values are in that class?
- 5Bounds3 marks
x = 161 and y = 55, each correct to the nearest whole number. Work out the upper bound of x - y.
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