Daily Practice · Higher Plus

Daily Practice - Higher Plus

1st April 1997

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 = 9, y = 12. Work out y when x = 25.
2
The Cosine Rule3 marks
A triangle has sides of 11 cm and 13 cm with an angle of 133° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 4 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 10-wide classes from 0, with frequency densities 1, 3, 2, 0.5. Which class contains the median?
5
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).

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