Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

19th April 2015

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 85 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 4. Work out x(1) to 3 decimal places.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = m. X is the midpoint. Write vector OX in terms of q and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 15 wins. How many games did they play?

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