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 0.6. How many values in total?
- 2Bounds3 marks
A car covers 800 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3Factorising Harder Quadratics3 marks
Solve 5x^2 - 11x + 2 = 0.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out the positive value of x when y = 243.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 5b and vector RS = 12a + 15b. What does this show about PQ and RS?
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