Daily Practice

Higher Plus

25th April 1987

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

1
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
3
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Bounds3 marks
A car covers 710 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.

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