Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th December 2025
- 1Surds3 marks
Simplify sqrt(80) + sqrt(180), giving your answer in the form a sqrt(b).
- 2The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 14, 32, 58, ...
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
- 4The Sine Rule3 marks
In triangle ABC, angle A is 37°, side a is 16 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
- 5Conditional Probability3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
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