Daily Practice

Higher Plus

15th December 1971

5 questions · 13 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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
2
Probability 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.
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
4
Bounds3 marks
A rectangle is 30 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
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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