Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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27th December 2024

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.

  2. 2
    Rearranging Harder Formulae3 marks

    Make x the subject of 5x + 8 = y(x + 8).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.

  4. 4
    Vectors Proof Questions3 marks

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

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 3/5. A player expects 42 wins. How many games did they play?

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