Daily Practice

Higher Plus

17th March 1964

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

1
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 4, 20, 44, 76, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = a. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of c and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 56 wins. How many games did they play?

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