Daily Practice

Higher Plus

24th May 1991

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 2 and g(x) = 6x + 7. Work out fg(5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 45.
5
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.

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