Daily Practice

Higher Plus

15th September 1987

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 = 24. Work out y when x = 5.
2
The Sine Rule3 marks
In triangle ABC, angle A is 62°, side a is 15 cm and side b is 5 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 50 < x <= 70 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).

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