Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th October 1998

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

1
Probability Equation Questions3 marks
A bag holds 10 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 <= 30 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A block has mass 760 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Algebraic Fractions3 marks
Simplify (x^2 - 8x + 12)/(x - 2).
5
Velocity Time Graphs2 marks
A train slows steadily from 40 m/s to rest in 8 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 October 1998, including the monthly compilation PDF.