Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 3Factorising Harder Quadratics3 marks
Solve 4x^2 - 23x - 6 = 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 50.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 2b and vector RS = 2a + 4b. What does this show about PQ and RS?
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