Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th March 2021

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

1
Conditional Probability3 marks
A bag holds 6 red, 4 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 <= 55 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
4
Factorising Harder Quadratics3 marks
Solve 8x^2 + 22x + 15 = 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 4 seconds. Work out its deceleration.

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