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21st June 1996

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Surds2 marks

    Write sqrt(98) in the form a sqrt(b), where b is as small as possible.

  2. 2
    Quadratic Formula3 marks

    Use the quadratic formula to solve 4x^2 - 9x - 1 = 0, to 2 decimal places.

  3. 3
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 7, y = 42. Work out y when x = 13.

  4. 4
    Similar Shapes (Area and Volume)3 marks

    Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 19 cm^2. Work out the area of the larger.

  5. 5
    Conditional Probability3 marks

    16 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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