Daily Practice · Higher Plus

Daily Practice - Higher Plus

6th October 1994

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(180), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Write x^2 + 8x - 15 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. N is the point dividing AB in the ratio 1 : 2. Write vector ON in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?

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