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 = 36, y = 42. Work out y when x = 9.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of b and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 16 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
- 5Surds3 marks
Simplify sqrt(80) + sqrt(180), giving your answer in the form a sqrt(b).
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