Daily Practice

Higher Plus

2nd March 1954

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

1
Conditional Probability3 marks
A bag holds 7 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 2, 1, 0.5. Which class contains the median?
3
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
4
Algebraic Fractions3 marks
Write 6/(x + 5) + 4/(x - 1) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 64.

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