Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th November 2023

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

1
Bounds3 marks
A rectangle is 14 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Rearranging Harder Formulae3 marks
Make x the subject of 6x + 4 = y(x + 4).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
4
The Sine Rule3 marks
In triangle ABC, angle A is 45°, side a is 16 cm and side b is 13 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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