Daily Practice

Higher Plus

6th February 1984

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 10 units wide with density 3. How many values in total?
2
Bounds3 marks
A block has mass 430 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (1, 6) 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 = 2, y = 32. Work out the positive value of x when y = 128.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - b and vector RS = 24a - 4b. What does this show about PQ and RS?

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