Daily Practice

Higher Plus

26th November 1989

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Inverse and Composite Functions3 marks
f(x) = 4x + 2 and g(x) = 2x - 1. Work out fg(-3).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 63.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 5b and vector RS = 25a - 25b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 60 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?

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