Daily Practice

Higher Plus

22nd April 1990

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

1
Conditional Probability3 marks
A bag holds 4 red and 6 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, 1, 3, 2. Which class contains the median?
3
Bounds3 marks
x = 133 and y = 86, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 9.

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