Daily Practice

Higher Plus

26th January 1988

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 - b and vector RS = 9a - 3b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 9 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 2) with x(0) = 3. Work out x(1) to 3 decimal places.

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