Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 11 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 5 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 2, one 20 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -5, -5, -3, 1. Work out the second difference, and the coefficient of n^2.
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