Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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10th May 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 5.

  2. 2
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has a hypotenuse of 17 cm and an angle of 20°. Work out the side opposite that angle, to 1 decimal place.

  3. 3
    Probability Trees3 marks

    1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  4. 4
    Box Plots2 marks

    A box plot has minimum 13, lower quartile 22, median 26, upper quartile 30 and maximum 40. Work out the interquartile range.

  5. 5
    Bounds2 marks

    A mass is 4.9 kg, correct to 1 decimal place. Write down the lower bound.

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