Daily Practice

Higher Plus

17th October 1986

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 2.5, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Write 7/(x - 1) + 3/(x - 2) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 320.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.

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