Daily Practice

Higher Plus

25th September 1979

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

1
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
2
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = q. M is the point dividing AB in the ratio 1 : 2. Write vector OM in terms of a and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 63 wins. How many games did they play?

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