Daily Practice

Higher Plus

7th September 1989

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 1.2, one 25 units wide with density 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(45) + sqrt(125), giving your answer in the form a sqrt(b).
3
Transforming Graphs y=f(x)3 marks
The point (6, 1) lies on y = f(x). Write down its image on y = -f(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 200. Work out the positive value of x when y = 200.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 3b and vector RS = 16a - 12b. What does this show about PQ and RS?

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