Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th March 2023

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

1
Bounds3 marks
x = 176 and y = 25, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 - 4x + 3 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 12 cm and 12 cm with an angle of 34° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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