Daily Practice

Higher Plus

30th May 1972

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 = 24. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides 9 cm, 6 cm and 8 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 2, 3, 0.5. Which class contains the median?
5
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).

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