Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

11th November 2010

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

1
Surds3 marks
Simplify sqrt(50) + sqrt(50), giving your answer in the form a sqrt(b).
2
Transforming Graphs y=f(x)3 marks
The point (-6, 1) lies on y = f(x). Write down its image on y = f(x) - 5.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/4. A player expects 6 wins. How many games did they play?

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