Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
15th November 2017
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
- 2Bounds3 marks
A rectangle is 25 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 6, 14, 30, 54, ...
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 125. Work out the positive value of x when y = 20.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 13 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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