Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Bounds3 marks
A rectangle is 23 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 10, 21, 36. Work out the second difference, and the coefficient of n^2.
- 3Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. X is the midpoint. Write vector OX in terms of p and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 8 wins. How many games did they play?
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