Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st April 2008

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

1
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
2
Algebraic Fractions3 marks
Write 7/(x - 3) + 5/(x + 2) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 5 cm, 10 cm and 8 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.

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