Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th November 2006
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
- 3Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
A car covers 810 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.
- 5Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
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