Daily Practice

Higher Plus

18th February 1975

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

1
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = a and vector OB = m. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of a and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 21 wins. How many games did they play?

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