Daily Practice

Higher Plus

29th March 1979

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

1
Surds3 marks
Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
2
Inverse and Composite Functions3 marks
f(x) = 2x + 10. Work out the inverse function f^-1(x).
3
Velocity Time Graphs2 marks
A train slows steadily from 32 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = a. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of q and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 26 wins. How many games did they play?

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