Daily Practice

Higher Plus

21st March 1987

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

1
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
3
Bounds3 marks
A car covers 620 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
4
Transforming Graphs y=f(x)3 marks
The point (6, -4) lies on y = f(x). Write down its image on y = f(-x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 14. Work out y when x = 16.

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