Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

30th August 2001

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

1
Surds3 marks
Simplify sqrt(48) + sqrt(147), giving your answer in the form a sqrt(b).
2
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of b and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 2/5. A player expects 22 wins. How many games did they play?

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