Daily Practice

Higher Plus

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12th January 1959

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?

  2. 2
    Bounds3 marks

    A block has mass 480 g (to the nearest 10 g) and volume 9 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  3. 3
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 7, 25, 51, 85. Work out the second difference, and the coefficient of n^2.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 8 m/s to 18 m/s over 5 seconds. Work out the acceleration.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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