Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th March 2000
- 1Bounds3 marks
A rectangle is 5 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 2Inverse and Composite Functions3 marks
f(x) = 7x + 11. Work out the inverse function f^-1(x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 49.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. X is the midpoint. Write vector OX in terms of m and c.
- 5Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 20 wins. How many games did they play?
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