Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th November 1998
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 3. How many values in total?
- 2Surds3 marks
Simplify sqrt(18) + sqrt(2), 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 3, 7, 13, 21, ...
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 72.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 6b and vector RS = 10a - 30b. What does this show about PQ and RS?
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