Daily Practice

Higher Plus

18th December 1980

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(147), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 8, 12, 18, 26, ...
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 26 wins. How many games did they play?

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