Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st February 2003

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

1
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
2
Completing the Square3 marks
Write x^2 - 16x + 14 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 16.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = q. M is the midpoint. Write vector OM in terms of m and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 8 wins. How many games did they play?

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