Daily Practice

Higher Plus

7th October 1988

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

1
Surds3 marks
Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (5x(n) + 3) with x(0) = 5. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 23 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 = c. N is the point dividing AB in the ratio 1 : 3. Write vector ON in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 42 wins. How many games did they play?

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