Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

20th October 2007

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

1
Conditional Probability3 marks
A bag holds 4 red and 10 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 50 < x <= 55 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A car covers 780 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Factorising Harder Quadratics3 marks
Solve 4x^2 - 11x - 20 = 0.
5
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 8 seconds. Work out its deceleration.

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