Daily Practice · Higher Plus

Daily Practice - Higher Plus

18th May 1993

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

1
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 7/12. Work out r.
2
Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).
4
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.

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