Daily Practice

Higher Plus

14th November 1976

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?
2
Bounds3 marks
x = 40 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Inverse and Composite Functions3 marks
f(x) = 4x + 4 and g(x) = 4x + 2. Work out fg(5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 63. Work out the positive value of x when y = 28.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 6b and vector RS = 12a - 24b. What does this show about PQ and RS?

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