Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th April 2010
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3. How many values in total?
- 2Bounds3 marks
A block has mass 780 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 448.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 12 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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