Daily Practice

Higher Plus

18th November 1980

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

1
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
2
Algebraic Fractions3 marks
Write 2/(x + 1) + 3/(x - 6) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 26 m/s to rest in 8 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = q. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of p and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 75 wins. How many games did they play?

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