Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd December 2023

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

1
Bounds3 marks
x = 177 and y = 27, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Inverse and Composite Functions3 marks
f(x) = 5x - 6. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 37 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 = q. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 36 wins. How many games did they play?

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