Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th June 2024
- 1Bounds3 marks
x = 176 and y = 69, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 9.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of c and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 48 wins. How many games did they play?
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