Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
13th June 2014
- 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 = a and vector OB = m. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of a and m.
- 3Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 24 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 1.2. How many values are in that class?
- 5Surds3 marks
Rationalise the denominator of 33/sqrt(11), giving your answer in its simplest form.
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