Daily Practice

Higher Plus

5th August 1970

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

1
Conditional Probability3 marks
A bag holds 4 red and 8 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 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
3
Bounds3 marks
A rectangle is 15 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Algebraic Fractions3 marks
Simplify (x^2 + 5x - 14)/(x - 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 25.

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