Daily Practice

Higher Plus

26th September 1990

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 2.5, one 25 units wide with density 3. How many values in total?
2
Bounds3 marks
A rectangle is 20 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Inverse and Composite Functions3 marks
f(x) = 3x + 1. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 162.
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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