Daily Practice

Higher Plus

12th August 1958

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 = 4, y = 4. Work out y when x = 16.
2
The Cosine Rule3 marks
A triangle has sides 8 cm, 12 cm and 11 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 3, 1, 0.5. Which class contains the median?
5
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).

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