Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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21st April 2024

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

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 2.

  2. 2
    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 : 3. Write vector ON in terms of p and c.

  3. 3
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?

  4. 4
    Histograms3 marks

    On a histogram the bar for 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?

  5. 5
    Bounds3 marks

    x = 100 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.

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