Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th August 2022
- 1Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 30 wins. How many games did they play?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
- 3Bounds3 marks
A car covers 490 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 4.
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