Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th February 2017

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Factorising Harder Quadratics3 marks
Solve 4x^2 - 9x + 5 = 0.
2
Velocity Time Graphs3 marks
A tram runs at 9 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.
5
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

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 February 2017, including the monthly compilation PDF.