Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd June 2022

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 25 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x + 6.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 36. Work out the positive value of x when y = 64.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 11 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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 June 2022, including the monthly compilation PDF.