Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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5th August 2024

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

  1. 1
    Bounds3 marks

    A block has mass 900 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  2. 2
    Trigonometric and Exponential Graphs2 marks

    The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 17 cm, 6 cm and 16 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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