Daily Practice

Higher Plus

15th January 1970

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x - 14 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 19 m/s to rest in 5 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 13 wins. How many games did they play?

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