Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th October 2024
- 1Bounds3 marks
A block has mass 470 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2Transforming Graphs y=f(x)3 marks
The point (1, -3) lies on y = f(x). Write down its image on y = f(-x).
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 36.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of a and m.
- 5Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
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