Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th September 2010
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
- 3Quadratic Inequalities3 marks
Solve x^2 - 7x + 12 < 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 144.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 6b and vector RS = 12a + 12b. What does this show about PQ and RS?
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