Daily Practice

Higher Plus

14th January 1971

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 40 < x <= 60 has a frequency density of 2.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
4
Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

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