Daily Practice

Higher Plus

9th June 1988

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

1
Surds3 marks
Simplify sqrt(27) + sqrt(75), giving your answer in the form a sqrt(b).
2
Factorising Harder Quadratics3 marks
Solve 15x^2 + 13x + 2 = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 27 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 32 wins. How many games did they play?

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