Daily Practice

Higher Plus

23rd January 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 = 3.
2
The Sine Rule3 marks
In triangle ABC, angle A is 60°, side a is 16 cm and side b is 7 cm. Work out the acute angle B, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 6 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
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).

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