Daily Practice · Higher Plus

Daily Practice - Higher Plus

21st November 1991

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

1
Surds3 marks
Simplify sqrt(80) + sqrt(245), 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 x^3. When x = 3, y = 162. Work out y when x = 2.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = q. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of c and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 20 wins. How many games did they play?

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