Daily Practice

Higher Plus

17th January 1964

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

1
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
2
Completing the Square3 marks
Write x^2 - 16x + 12 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 25.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. P is the midpoint. Write vector OP in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 44 wins. How many games did they play?

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