Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th January 2025
- 1Bounds3 marks
x = 64 and y = 21, each correct to the nearest whole number. Work out the upper bound of x - y.
- 2Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 5) with x(0) = 1. Work out x(1) to 3 decimal places.
- 3Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 4Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of c and b.
- 5Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 28 wins. How many games did they play?
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