Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd December 2021
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = p. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of a and p.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 65 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.
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