Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th June 2024

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

1
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
2
Factorising Harder Quadratics3 marks
Solve 8x^2 + 14x + 5 = 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 6 cm with an angle of 120° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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