Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd November 2011
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 3. How many values in total?
- 2Bounds3 marks
A rectangle is 25 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 72.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 11 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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