Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st October 2016
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 3 cm by 13 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
A block has mass 510 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
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