Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th August 2023

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 8x^2 + 18x - 5 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
4
The Sine Rule3 marks
In triangle ABC, angle A is 52°, side a is 20 cm and side b is 16 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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