Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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6th June 2023

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

  1. 1
    Surds3 marks

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

  2. 2
    Transforming Graphs y=f(x)3 marks

    The point (3, -3) lies on y = f(x). Write down its image on y = f(x + 2).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = c and vector OB = a. N is the point dividing AB in the ratio 2 : 1. Write vector ON in terms of c and a.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 5/8. A player expects 70 wins. How many games did they play?

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