Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th November 2023

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 = 3, y = 135. Work out y when x = 2.
2
The Sine Rule3 marks
In triangle ABC, angle A is 74°, side a is 17 cm and side b is 12 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red and 7 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 <= 80 has a frequency density of 0.4. How many values are in that class?
5
Bounds3 marks
x = 125 and y = 85, each correct to the nearest whole number. Work out the upper bound of x - y.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of November 2023, including the monthly compilation PDF.