Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th June 2005

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 5 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 40 < x <= 45 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 22 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 9, 17, 29, 45. Work out the second difference, and the coefficient of n^2.
5
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 8 seconds. Work out its deceleration.

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