Daily Practice

Higher Plus

3rd February 1989

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 4/sqrt(2), giving your answer in its simplest form.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 576.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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