Daily Practice

Higher Plus

20th October 1968

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

1
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
x = 75 and y = 17, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. 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 = 384. Work out y when x = 2.

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