Daily Practice

Higher Plus

14th November 1958

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

1
Surds3 marks
Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 841 and y = x - 1 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = p. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 48 wins. How many games did they play?

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