Daily Practice

Higher Plus

30th December 1972

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 530 m (to the nearest 10 m) in 3 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 - 8x - 7.
3
Velocity Time Graphs2 marks
A train slows steadily from 13 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 27 wins. How many games did they play?

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