Daily Practice

Higher Plus

13th March 1969

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

1
Conditional Probability3 marks
A bag holds 3 red and 10 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 10 < x <= 30 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(48) + sqrt(3), giving your answer in the form a sqrt(b).
4
Algebraic Fractions3 marks
Simplify (x^2 + 3x + 2)/(x + 1).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.

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