Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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4th October 2023

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

  1. 1
    Bounds3 marks

    A rectangle is 25 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.

  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 = 360.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = b and vector OB = m. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of b and m.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 2/5. A player expects 4 wins. How many games did they play?

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