Daily Practice

Higher Plus

1st August 1965

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 4 red and 10 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 20 < x <= 40 has a frequency density of 1.2. How many values are in that class?
3
Bounds3 marks
x = 92 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
4
Proof2 marks
In an algebraic proof, how would you write an even number in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.

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