Daily Practice

Higher Plus

23rd October 1990

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 = 10. Work out y when x = 25.
2
The Cosine Rule3 marks
A triangle has sides 12 cm, 8 cm and 8 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 1/2. 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 (5 + sqrt(7))(5 - sqrt(7)).

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