Daily Practice

Higher Plus

2nd September 1959

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

1
Conditional Probability3 marks
A bag holds 5 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 30 < x <= 50 has a frequency density of 3.5. How many values are in that class?
3
Bounds3 marks
A rectangle is 10 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Completing the Square3 marks
Write x^2 - 6x - 3 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.

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