Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th January 2020
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and q.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 112 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 2.4. How many values are in that class?
- 5Bounds3 marks
A block has mass 700 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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