Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th December 2021
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
x = 141 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out the positive value of x when y = 108.
- 5Proof 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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