Daily Practice

Higher Plus

16th August 1988

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 = 4, y = 192. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides of 8 cm and 16 cm with an angle of 51° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).

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