Daily Practice

Higher Plus

18th October 1982

5 questions · 14 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 opposite angles of a cyclic quadrilateral are being proved. 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 5 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A block has mass 480 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
5
Transforming Graphs y=f(x)3 marks
The point (6, -2) lies on y = f(x). Write down its image on y = -f(x).

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