Daily Practice

Higher Plus

4th September 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 = 2, y = 48. Work out y when x = 4.
2
The Sine Rule3 marks
In triangle ABC, angle A is 55°, side a is 16 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 5 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 2.4. How many values are in that class?
5
Bounds3 marks
A block has mass 200 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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