Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 10 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 9 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 10 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
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