Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd December 2009
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Simplify sqrt(50) + sqrt(72), giving your answer in the form a sqrt(b).
- 3Algebraic Fractions3 marks
Simplify (x^2 - 3x - 40)/(x - 8).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 180. Work out the positive value of x when y = 405.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 4 cm by 4 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2009, including the monthly compilation PDF.