Daily Practice

Higher Plus

16th May 1967

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 - 2b and vector RS = 12a - 4b. 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 30 wins. How many games did they play?
3
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
5
Inverse and Composite Functions3 marks
f(x) = 7x - 3. Work out the inverse function f^-1(x).

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