Daily Practice

Higher Plus

7th July 1988

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

1
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 5 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 60 < x <= 80 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(72) + sqrt(8), giving your answer in the form a sqrt(b).
4
Algebraic Fractions3 marks
Write 4/(x + 6) + 4/(x + 5) as a single fraction.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.

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