Daily Practice · Higher Plus

Daily Practice - Higher Plus

18th July 1992

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

1
Bounds3 marks
A car covers 760 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 1.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 36 wins. How many games did they play?

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