Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

3rd May 2002

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

1
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
2
Algebraic Fractions3 marks
Simplify (x^2 - 3x - 18)/(x + 3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides 24 cm, 13 cm and 15 cm. Work out the angle opposite the 24 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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