Daily Practice

Higher Plus

10th December 1987

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

1
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Simplify sqrt(75) + sqrt(48), giving your answer in the form a sqrt(b).
4
Rearranging Harder Formulae3 marks
Make x the subject of 3x + 8 = y(x + 8).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 16.

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