Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th March 2022
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Rationalise the denominator of 42/sqrt(7), giving your answer in its simplest form.
- 3Algebraic Fractions3 marks
Simplify (x^2 + 7x + 10)/(x + 2).
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 32.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 25a + 25b. What does this show about PQ and RS?
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