Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st January 2009
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).
- 3Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 294.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 5 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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