Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th April 2000
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 4. Work out x(1) to 3 decimal places.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 63.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
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