Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd March 2001

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

1
Bounds3 marks
A car covers 260 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Quadratic Inequalities3 marks
Solve x^2 - 8x + 7 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 15. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. P is the midpoint. Write vector OP in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?

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