Daily Practice

Higher Plus

11th February 1982

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
2
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 81.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = a. P is the point dividing AB in the ratio 2 : 1. Write vector OP in terms of p and a.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 5 wins. How many games did they play?

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