Daily Practice

Higher Plus

3rd March 1971

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

1
Conditional Probability3 marks
A bag holds 5 red and 3 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 30 < x <= 50 has a frequency density of 0.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 28 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.

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