Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th December 2024

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

1
Bounds3 marks
x = 111 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 8)/(x - 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 25.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 14 cm with an angle of 121° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 4 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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