Daily Practice

Higher Plus

5th January 1973

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

1
Surds3 marks
Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 + 15x + 56)/(x + 8).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
4
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.
5
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.

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