Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th August 2012
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
- 2Bounds3 marks
A block has mass 700 g (to the nearest 10 g) and volume 8 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Inverse and Composite Functions3 marks
f(x) = 5x - 2 and g(x) = 3x + 2. Work out fg(6).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 147.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 15 cm by 4 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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