Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th January 2023
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 9 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2Conditional Probability3 marks
A bag holds 8 red and 5 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 25 units wide with density 3. How many values in total?
- 4Bounds3 marks
A rectangle is 28 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Transforming Graphs y=f(x)3 marks
The point (-2, -3) lies on y = f(x). Write down its image on y = f(x - 5).
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