Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd February 2025

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 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 0 < x <= 5 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
x = 54 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
5
Velocity Time Graphs2 marks
A train slows steadily from 24 m/s to rest in 4 seconds. Work out its deceleration.

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