Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th February 2020
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 4.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of p and q.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 4 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 0.5, 1, 2. Which class contains the median?
- 5Bounds3 marks
A rectangle is 18 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.
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