Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
18th January 2019
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of p and a.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 52 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?
- 5Surds3 marks
Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.
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