Daily Practice

Higher Plus

2nd April 1990

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

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 16. Work out y when x = 2.
2
The Sine Rule3 marks
In triangle ABC, angle A is 69°, side a is 19 cm and side b is 4 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?
5
Bounds3 marks
A block has mass 290 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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