Daily Practice

Higher Plus

30th September 1984

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
2
The Sine Rule3 marks
In triangle ABC, angle A is 47°, side a is 9 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
3
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?
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
x = 91 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.

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