Daily Practice

Higher Plus

20th March 1975

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(245), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Write x^2 + 2x + 10 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = c. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of b and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 81 wins. How many games did they play?

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