Daily Practice

Higher Plus

13th October 1974

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

1
Conditional Probability3 marks
A bag holds 7 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
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
x = 95 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Algebraic Fractions3 marks
Simplify (x^2 + 2x - 15)/(x + 5).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.

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