Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th August 2024
- 1Surds3 marks
Simplify sqrt(20) + sqrt(245), giving your answer in the form a sqrt(b).
- 2Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 14x + 7.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and a.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 8 wins. How many games did they play?
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