Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 6 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 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 20 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
A rectangle is 6 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Factorising Harder Quadratics3 marks
Solve 20x^2 + 39x + 18 = 0.
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