Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th September 2017
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = b. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of p and b.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 44 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 2.4. How many values are in that class?
- 5Bounds3 marks
A block has mass 860 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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