Daily Practice

Higher Plus

10th February 1970

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 = 42. Work out y when x = 81.
2
The Cosine Rule3 marks
A triangle has sides 23 cm, 15 cm and 11 cm. Work out the angle opposite the 23 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.
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
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).

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