Daily Practice

Higher Plus

23rd July 1954

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 = 6a - 4b and vector RS = 24a - 16b. 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 56 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 72/sqrt(6), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.

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