Daily Practice

Higher Plus

1st November 1984

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

1
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
2
Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(32) + sqrt(72), giving your answer in the form a sqrt(b).
4
Algebraic Fractions3 marks
Simplify (x^2 + 11x + 28)/(x + 7).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.

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