Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th January 1998

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

1
Bounds3 marks
x = 186 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 4x - 4 and g(x) = 5x - 1. Work out fg(-1).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. M is the midpoint. Write vector OM in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 39 wins. How many games did they play?

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