Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st March 2009

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

1
Bounds3 marks
A car covers 830 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 2x - 2 and g(x) = 5x + 4. Work out fg(5).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 21 wins. How many games did they play?

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