Daily Practice

Higher Plus

11th November 1990

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 + 3b and vector RS = 9a + 9b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 18 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Bounds3 marks
x = 96 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (4x(n) + 4) with x(0) = 3. Work out x(1) to 3 decimal places.

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