Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th January 2019
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 8 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 3.5. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 1) with x(0) = 3. Work out x(1) to 3 decimal places.
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