Daily Practice

Higher Plus

26th June 1962

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

1
Surds3 marks
Expand and simplify (5 + sqrt(7))(5 - sqrt(7)).
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 17 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. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of b and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 32 wins. How many games did they play?

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