Daily Practice

Higher Plus

11th April 1985

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

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 5b and vector RS = 12a - 20b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 35 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 9) with x(0) = 4. Work out x(1) to 3 decimal places.

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