Daily Practice - Higher Plus
31st August 1995
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(20) + sqrt(80), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 16x + 2.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 64.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
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