Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 11 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 10 red and 3 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 1.2, one 20 units wide with density 0.8. How many values in total?
- 4Bounds3 marks
A rectangle is 21 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
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