Daily Practice

Higher Plus

4th October 1961

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 3. How many values in total?
2
Bounds3 marks
A rectangle is 18 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Transforming Graphs y=f(x)3 marks
The point (-2, 4) lies on y = f(x). Write down its image on y = f(x) - 4.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out the positive value of x when y = 18.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 10a + 10b. What does this show about PQ and RS?

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