Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th November 2021

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

  1. 1
    Bounds3 marks

    A car covers 380 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 2x - 1.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 16.

  4. 4
    Vectors Proof Questions3 marks

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

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 40 wins. How many games did they play?

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