Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th October 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 = 2, y = 32. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides of 7 cm and 16 cm with an angle of 39° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Simplify sqrt(27) + sqrt(12), giving your answer in the form a sqrt(b).

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 October 2023, including the monthly compilation PDF.