Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd December 1991

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 = 135. Work out y when x = 5.
2
The Sine Rule3 marks
In triangle ABC, angle A is 54°, side a is 20 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 6 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 10 < x <= 20 has a frequency density of 3.5. How many values are in that class?
5
Bounds3 marks
A block has mass 460 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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