Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th April 2015
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
- 3Inverse and Composite Functions3 marks
f(x) = 8x - 6. Work out the inverse function f^-1(x).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 648.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 3b and vector RS = 30a + 15b. What does this show about PQ and RS?
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