Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Expand and simplify (5 + sqrt(6))(5 - sqrt(6)).
- 3Inverse and Composite Functions3 marks
f(x) = 8x - 1. Work out the inverse function f^-1(x).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 16.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 12 cm by 6 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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