Daily Practice · Higher Plus

Daily Practice - Higher Plus

12th August 1993

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 9, 20, 35. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 36.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = c. P is the midpoint. Write vector OP in terms of a and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 60 wins. How many games did they play?

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