Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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15th March 2010

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A block has mass 260 g (to the nearest 10 g) and volume 10 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  3. 3
    Algebraic Fractions3 marks

    Simplify (x^2 - 12x + 32)/(x - 4).

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 8 m/s to 28 m/s over 6 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.

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