Daily Practice

Higher Plus

30th January 1968

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

1
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
2
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
4
Algebraic Fractions3 marks
Simplify (x^2 - x - 6)/(x + 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.

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