Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

8th September 2005

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(245), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 + 7x + 6)/(x + 6).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. N is the midpoint. Write vector ON in terms of b and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/10. A player expects 10 wins. How many games did they play?

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