Daily Practice

Higher Plus

25th December 1960

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

1
Conditional Probability3 marks
A bag holds 3 red and 9 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 40 < x <= 60 has a frequency density of 1.5. How many values are in that class?
3
Bounds3 marks
x = 75 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof3 marks
Prove that the sum of 4 consecutive integers is always a multiple of 2. 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 = 320. Work out y when x = 5.

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