Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th June 2024

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

1
Conditional Probability3 marks
A bag holds 5 red, 6 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 20 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Simplify (x^2 + 9x + 20)/(x + 5).
5
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 5 seconds. Work out its deceleration.

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