Daily Practice

Higher Plus

13th July 1954

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, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
3
Inverse and Composite Functions3 marks
f(x) = 2x - 8 and g(x) = 5x - 6. Work out fg(-1).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 216.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 5b and vector RS = 8a - 10b. What does this show about PQ and RS?

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