Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th December 2018

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

1
Bounds3 marks
A car covers 430 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
Inverse and Composite Functions3 marks
f(x) = 3x + 5 and g(x) = 4x - 2. Work out fg(2).
3
Velocity Time Graphs2 marks
A train slows steadily from 33 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 28 wins. How many games did they play?

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