Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th March 2022
- 1Conditional Probability3 marks
A bag holds 9 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
- 3Bounds3 marks
A car covers 760 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 36.
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