Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th December 2018
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 60/sqrt(5), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -2, 6, 22, 46, ...
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 27. Work out the positive value of x when y = 12.
- 5Proof 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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