Daily Practice

Higher Plus

11th July 1969

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

1
Conditional Probability3 marks
A bag holds 4 red and 9 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 <= 5 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Rationalise the denominator of 10/sqrt(2), giving your answer in its simplest form.
4
Algebraic Fractions3 marks
Write 2/(x - 2) + 7/(x - 3) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.

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