Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st March 2023

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

1
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x + 2.
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 243.
3
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
4
Conditional Probability3 marks
A bag holds 4 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?

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 March 2023, including the monthly compilation PDF.