Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th August 2005
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
- 3Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 225.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 11 cm by 13 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
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