Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th August 2000

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 900 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
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 15, 31, 55. Work out the second difference, and the coefficient of n^2.
3
Velocity Time Graphs2 marks
A train slows steadily from 21 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = a. M is the midpoint. Write vector OM in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 42 wins. How many games did they play?

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