Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd February 2006
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 8 cm by 14 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 5 units wide with density 3. How many values in total?
- 4Surds3 marks
Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
- 5Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 4x + 10.
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