Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
17th March 2025
- 1Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of a and c.
- 3Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 39 wins. How many games did they play?
- 4Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
- 5Bounds3 marks
A block has mass 440 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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