Daily Practice · Higher Plus

Daily Practice - Higher Plus

30th June 1994

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

1
Conditional Probability3 marks
A bag holds 8 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 10 < x <= 15 has a frequency density of 0.4. How many values are in that class?
3
Surds3 marks
Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
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 = 2, y = 48. Work out y when x = 3.

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