Daily Practice

Higher Plus

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17th December 1986

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

  1. 1
    Bounds3 marks

    A rectangle is 23 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 8x + 3.

  3. 3
    Direct and Inverse Proportion Depth3 marks

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

  4. 4
    Vectors Proof Questions3 marks

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

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 1/8. A player expects 10 wins. How many games did they play?

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1986, including the monthly compilation PDF.