Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th September 2020

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

1
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
2
Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
A car covers 110 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
5
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 5 seconds. Work out its deceleration.

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