Daily Practice

Higher Plus

13th May 1970

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

1
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 6 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 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
3
Bounds3 marks
A rectangle is 4 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Algebraic Fractions3 marks
Write 7/(x + 6) + 6/(x + 3) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 48. Work out y when x = 4.

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