Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th July 2023

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

1
Conditional Probability3 marks
A bag holds 5 red, 5 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 50 < x <= 60 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 11, 28, 51, ...
5
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 8 seconds. Work out its deceleration.

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