Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd February 2014

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

1
Bounds3 marks
x = 99 and y = 46, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 5x - 5. Work out the inverse function f^-1(x).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 18. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = q. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 18 wins. How many games did they play?

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