Daily Practice

Higher Plus

1st June 1961

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

1
Surds3 marks
Simplify sqrt(20) + sqrt(5), 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 6, 13, 28, 51, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 28. Work out y when x = 49.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = p. P is the point dividing AB in the ratio 3 : 1. Write vector OP in terms of b and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 14 wins. How many games did they play?

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