Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd November 2023
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of q and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 70 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 5Surds3 marks
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
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