Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd January 2002

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

1
Surds3 marks
Simplify sqrt(32) + sqrt(18), giving your answer in the form a sqrt(b).
2
Quadratic Inequalities3 marks
Solve x^2 + 8x + 15 < 0.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 17 cm, 14 cm and 13 cm. Work out the angle opposite the 17 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 4/7. Work out n.

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