Daily Practice

Higher Plus

5th March 1991

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 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
5
Transforming Graphs y=f(x)3 marks
The point (3, -3) lies on y = f(x). Write down its image on y = -f(x).

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