Daily Practice

Higher Plus

13th October 1987

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

1
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
2
Completing the Square3 marks
Write x^2 + 10x + 3 in the form (x + a)^2 + b.
3
Velocity Time Graphs2 marks
A train slows steadily from 12 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. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?

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