Daily Practice

Higher Plus

16th January 1988

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 1.2, one 25 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A car covers 500 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
3
Inverse and Composite Functions3 marks
f(x) = 3x + 8 and g(x) = 6x - 4. Work out fg(3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 45. Work out the positive value of x when y = 405.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 12a - 6b. What does this show about PQ and RS?

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