Daily Practice

Higher Plus

1st September 1955

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 + 14x + 3 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 35 wins. How many games did they play?

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