Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th July 2022

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

1
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
A car covers 430 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
Work out the coordinates of the turning point of y = x^2 + 8x - 4.
5
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 10 seconds. Work out its deceleration.

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