Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th July 2023

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Algebraic Fractions3 marks
Simplify (x^2 - 2x - 8)/(x + 2).
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 12 m/s over 4 seconds. Work out the acceleration.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 3 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
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 July 2023, including the monthly compilation PDF.