Daily Practice

Higher Plus

15th April 1971

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 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 3x - 2 and g(x) = 4x - 9. Work out fg(6).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 20. Work out the positive value of x when y = 180.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 8a + 4b. What does this show about PQ and RS?

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