Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 9.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of p and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 9 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
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