Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th April 1994

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
2
The Cosine Rule3 marks
A triangle has sides 9 cm, 13 cm and 15 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 6/11. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).

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