Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

3rd February 2012

5 questions · 13 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 1.2, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 16, 30, 50, 76. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out the positive value of x when y = 486.
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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