Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th April 2017
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of p and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 96 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
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