Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 12, 23, 40, 63, ...
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 288.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
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