Daily Practice

Higher Plus

16th February 1954

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 = 3, y = 162. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides of 18 cm and 16 cm with an angle of 112° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 3 red, 6 blue and 6 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 10 < x <= 15 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).

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