Daily Practice

Higher Plus

25th January 1991

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

1
Surds3 marks
Rationalise the denominator of 55/sqrt(5), giving your answer in its simplest form.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 6 and g(x) = 4x + 9. Work out fg(5).
3
Velocity Time Graphs2 marks
A train slows steadily from 22 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 80 wins. How many games did they play?

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