Daily Practice

Higher Plus

5th December 1972

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).
3
Transforming Graphs y=f(x)3 marks
The point (5, -4) lies on y = f(x). Write down its image on y = f(x - 5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 441.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 4b and vector RS = 5a - 20b. What does this show about PQ and RS?

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