Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd August 2022

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

1
Conditional Probability3 marks
A bag holds 10 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
4
Algebraic Fractions3 marks
Write 3/(x + 2) + 4/(x - 6) as a single fraction.
5
Velocity Time Graphs2 marks
A train slows steadily from 28 m/s to rest in 4 seconds. Work out its deceleration.

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