Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th April 2006

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write an odd number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 112 wins. How many games did they play?

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