Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd September 2024
- 1Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
- 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 = 448.
- 3Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - b and vector RS = 10a - 2b. What does this show about PQ and RS?
- 4Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 35 wins. How many games did they play?
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 3. How many values in total?
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