Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st February 2022
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 9.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = b. N is the midpoint. Write vector ON in terms of a and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 63 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
- 5Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
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