Daily Practice · Higher

Daily Practice - Higher

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

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20th January 2024

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

  1. 1
    The Product Rule for Counting3 marks

    A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

  2. 2
    Equation of a Line3 marks

    A line has gradient 5 and passes through (6, 31). Work out its equation.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 5.

  4. 4
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 15 cm and 8 cm with an angle of 137° between them. Work out its area, to 1 decimal place.

  5. 5
    Probability Trees3 marks

    5 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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