Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th August 2022
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
- 2Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of b and a.
- 3Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 30 wins. How many games did they play?
- 4Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 0.4. How many values are in that class?
- 5Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
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