Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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9th November 1999

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

  1. 1
    Surds3 marks

    Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).

  2. 2
    Rearranging Harder Formulae3 marks

    Make x the subject of 7x + 8 = y(x + 8).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 9.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = p and vector OB = a. X is the point dividing AB in the ratio 3 : 1. Write vector OX in terms of p and a.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 1/4. A player expects 3 wins. How many games did they play?

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