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28th September 1991

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.777... as a fraction in its simplest form.

  2. 2
    Quadratic Formula3 marks

    Work out the discriminant of 4x^2 - 5x + 2 = 0 and say how many real solutions it has.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 9.

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

    Two similar shapes have lengths in the ratio 1 : 5. The smaller has an area of 5 cm^2. Work out the area of the larger.

  5. 5
    Conditional Probability3 marks

    10 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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