Daily Practice · Higher Plus

Daily Practice - Higher Plus

27th July 1996

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

1
Bounds3 marks
A car covers 710 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 10. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = c. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of m and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/10. A player expects 15 wins. How many games did they play?

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