Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th October 2019

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
4
Inverse and Composite Functions3 marks
f(x) = 6x - 12. Work out the inverse function f^-1(x).
5
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 4 seconds. Work out its deceleration.

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