Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th October 2024

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.
2
The Sine Rule3 marks
In triangle ABC, angle A is 61°, side a is 18 cm and side b is 12 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
On a histogram the bar for 60 < x <= 70 has a frequency density of 1.5. How many values are in that class?
5
Bounds3 marks
A rectangle is 18 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.

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