Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th August 2022
- 1Quadratic Inequalities3 marks
Solve x^2 + 9x + 14 > 0.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 28.
- 33d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 5 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4Conditional Probability3 marks
A bag holds 6 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 2, one 25 units wide with density 0.8. How many values in total?
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