Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th December 1992

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 187 and y = 103, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 2x + 1. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 150.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 4b and vector RS = 2a - 8b. What does this show about PQ and RS?

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