Daily Practice

Higher Plus

7th May 1989

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 = 4, y = 320. Work out y when x = 3.
2
The Sine Rule3 marks
In triangle ABC, angle A is 63°, side a is 13 cm and side b is 9 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 6 red and 4 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 30 < x <= 35 has a frequency density of 1.5. How many values are in that class?
5
Bounds3 marks
x = 112 and y = 9, each correct to the nearest whole number. Work out the upper bound of x - y.

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