Daily Practice

Higher Plus

31st July 1979

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

1
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
4
Algebraic Fractions3 marks
Write 2/(x - 5) + 7/(x - 6) 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 = 4.

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