Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

27th November 2018

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

1
Conditional Probability3 marks
A bag holds 5 red, 4 blue and 2 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 10 < x <= 15 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
4
Algebraic Fractions3 marks
Simplify (x^2 - 7x + 6)/(x - 6).
5
Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 5 seconds. Work out its deceleration.

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