Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th January 2021
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 13 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 4 red and 7 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 20 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?
- 4Surds3 marks
Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
- 5The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 8, 13, 20, 29, ...
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