Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th June 2023

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

1
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A car covers 740 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Factorising Harder Quadratics3 marks
Solve 15x^2 + 37x + 20 = 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 25 m/s to rest in 4 seconds. Work out its deceleration.

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 2023, including the monthly compilation PDF.