Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Factorising Harder Quadratics3 marks
Solve 12x^2 - 23x + 5 = 0.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 567.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 5b and vector RS = 12a - 10b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 45 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
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