Daily Practice

Higher Plus

26th June 1975

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 = 384. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides of 5 cm and 11 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red, 3 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 0 < x <= 20 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Simplify sqrt(50) + sqrt(2), giving your answer in the form a sqrt(b).

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