Daily Practice

Higher Plus

20th September 1986

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 = 5.
2
The Sine Rule3 marks
In triangle ABC, angle A is 60°, side a is 10 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 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 60 < x <= 80 has a frequency density of 1.2. How many values are in that class?
5
Bounds3 marks
A car covers 570 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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