Daily Practice · Higher Plus

Daily Practice - Higher Plus

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31st August 1995

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?

  2. 2
    Surds3 marks

    Simplify sqrt(20) + sqrt(80), giving your answer in the form a sqrt(b).

  3. 3
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 16x + 2.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 64.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.

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