Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th January 2017

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (9 + sqrt(5))(9 - sqrt(5)).
4
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 4) with x(0) = 1. Work out x(1) to 3 decimal places.
5
Velocity Time Graphs2 marks
A train slows steadily from 15 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 January 2017, including the monthly compilation PDF.