Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th November 2022
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
x = 61 and y = 50, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 12. Work out the positive value of x when y = 192.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 5b and vector RS = 8a + 20b. What does this show about PQ and RS?
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