Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th October 2022
- 1Bounds3 marks
x = 82 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Algebraic Fractions3 marks
Write 5/(x + 1) + 2/(x - 4) as a single fraction.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of m and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 3 wins. How many games did they play?
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