Daily Practice · Higher Plus

Daily Practice - Higher Plus

23rd July 1996

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 = 4, y = 12. Work out y when x = 2.
2
The Cosine Rule3 marks
A triangle has sides 9 cm, 15 cm and 16 cm. Work out the angle opposite the 9 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 5/8. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
5
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).

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