Daily Practice

Higher Plus

9th April 1954

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

1
Surds3 marks
Rationalise the denominator of 60/sqrt(5), giving your answer in its simplest form.
2
Completing the Square3 marks
Write x^2 + 10x + 10 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 18 m/s to rest in 8 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = b. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of q and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 22 wins. How many games did they play?

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