Daily Practice

Higher Plus

18th April 1975

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 + x - 42)/(x - 6).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 180.
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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