Daily Practice

Higher Plus

2nd August 1955

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

1
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
2
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
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 = c and vector OB = m. M is the point dividing AB in the ratio 2 : 1. Write vector OM in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 11 wins. How many games did they play?

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