Daily Practice

Higher Plus

5th July 1979

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 sqrt(x). When x = 36, y = 54. Work out y when x = 49.
2
The Cosine Rule3 marks
A triangle has sides of 14 cm and 8 cm with an angle of 44° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
5
Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).

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