Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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26th April 2002

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms2 marks

    On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?

  2. 2
    Surds3 marks

    Rationalise the denominator of 42/sqrt(6), giving your answer in its simplest form.

  3. 3
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts -3, 8, 29, 60. Work out the second difference, and the coefficient of n^2.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 2 m/s to 10 m/s over 12 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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