Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th June 2000

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

1
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A car covers 400 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Completing the Square3 marks
Write x^2 - 14x + 8 in the form (x + a)^2 + b.
5
Velocity Time Graphs2 marks
A train slows steadily from 25 m/s to rest in 8 seconds. Work out its deceleration.

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