Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th April 1999

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

1
Conditional Probability3 marks
A bag holds 4 red and 5 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 <= 25 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A block has mass 760 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
4
Inverse and Composite Functions3 marks
f(x) = 3x - 6 and g(x) = 2x + 2. Work out fg(2).
5
Velocity Time Graphs2 marks
A train slows steadily from 25 m/s to rest in 10 seconds. Work out its deceleration.

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