Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st July 2001

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

1
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
2
Inverse and Composite Functions3 marks
f(x) = 4x - 10. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 12 wins. How many games did they play?

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