Daily Practice

Higher Plus

7th May 1954

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 50 < x <= 70 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 14/sqrt(2), giving your answer in its simplest form.
4
Quadratic Inequalities3 marks
Solve x^2 + 9x + 8 > 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.

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