Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th December 2005

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

1
Surds3 marks
Expand and simplify (3 + sqrt(3))(3 - sqrt(3)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 4x - 8.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 15 cm and 15 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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