Daily Practice

Higher Plus

8th March 1983

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

1
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 3) with x(0) = 3. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 4 seconds. Work out its deceleration.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 21 wins. How many games did they play?

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