Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd April 2025
- 13d Pythagoras and Trigonometry3 marks
A cuboid measures 5 cm by 14 cm by 5 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 8 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 5 units wide with frequency density 2, one 10 units wide with density 3. How many values in total?
- 4Bounds3 marks
A rectangle is 25 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 6, 18, 40, 72. Work out the second difference, and the coefficient of n^2.
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