Daily Practice

Higher Plus

5th January 1954

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 = 18. Work out y when x = 16.
2
The Cosine Rule3 marks
A triangle has sides 10 cm, 8 cm and 13 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (9 + sqrt(2))(9 - sqrt(2)).

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