Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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2nd March 2024

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

  1. 1
    Bounds3 marks

    A car covers 790 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  2. 2
    Algebraic Fractions3 marks

    Write 2/(x - 2) + 7/(x - 4) as a single fraction.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 16.

  4. 4
    Vectors Proof Questions3 marks

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

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 2/5. A player expects 28 wins. How many games did they play?

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