Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
11th August 2017
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 3.5. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
- 3Transforming Graphs y=f(x)3 marks
The point (5, -6) lies on y = f(x). Write down its image on y = f(x - 1).
- 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 = 125.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 6b and vector RS = 8a + 12b. What does this show about PQ and RS?
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