Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th August 2021

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

1
Conditional Probability3 marks
A bag holds 4 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A car covers 660 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 6x - 3 and g(x) = 5x + 5. Work out fg(0).
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 5 seconds. Work out its deceleration.

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