Daily Practice

Higher Plus

5th October 1971

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

1
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 4 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 0 < x <= 10 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
4
Algebraic Fractions3 marks
Write 5/(x - 3) + 6/(x + 3) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.

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