Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Conditional Probability3 marks
A bag holds 6 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.
- 5Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 5 seconds. Work out its deceleration.
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