Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th December 2007
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x - 8.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 150.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 6 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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