Daily Practice

Higher Plus

23rd January 1975

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 3, 0.5. Which class contains the median?
3
Surds3 marks
Simplify sqrt(45) + sqrt(125), giving your answer in the form a sqrt(b).
4
Algebraic Fractions3 marks
Simplify (x^2 + 15x + 56)/(x + 7).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 64.

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