Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th February 2005

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
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x - 15.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 64.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of m and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 90 wins. How many games did they play?

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