Daily Practice

Higher Plus

16th October 1975

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(245), 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 - 16x - 5.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of p and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 42 wins. How many games did they play?

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