Daily Practice

Higher Plus

2nd June 1974

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 the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
2
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?
4
Bounds3 marks
x = 100 and y = 72, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Transforming Graphs y=f(x)3 marks
The point (5, 3) lies on y = f(x). Write down its image on y = f(x) - 5.

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