Daily Practice

Higher Plus

30th January 1977

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

1
Conditional Probability3 marks
A bag holds 5 red and 5 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 30 < x <= 40 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
x = 168 and y = 148, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Factorising Harder Quadratics3 marks
Solve 4x^2 - 4x - 3 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.

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