Daily Practice

Higher Plus

3rd January 1973

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 50 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 29 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Inverse and Composite Functions3 marks
f(x) = 4x + 2 and g(x) = 5x - 4. Work out fg(-1).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.

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