Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 112.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 12 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4Conditional 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?
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?
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