Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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25th February 2025

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Surds3 marks

    Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).

  2. 2
    Trigonometric and Exponential Graphs2 marks

    The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 64.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = m and vector OB = a. N is the midpoint. Write vector ON in terms of m and a.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 60 wins. How many games did they play?

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