Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th September 2006
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 2Surds3 marks
Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 4, 14, 30, ...
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 405.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 13 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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