Daily Practice

Higher Plus

8th March 1960

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 3 in terms of an integer n?
3
Velocity Time Graphs2 marks
A train slows steadily from 14 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. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of q and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 3 wins. How many games did they play?

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