Daily Practice

Higher Plus

← All tiers

9th May 1988

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

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A block has mass 470 g (to the nearest 10 g) and volume 19 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 14, 29, 52, 83. Work out the second difference, and the coefficient of n^2.

  4. 4
    Velocity Time Graphs3 marks

    A tram runs at 6 m/s for 30 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Recent Higher Plus sheets

Any date always gives the same five questions, so a sheet can be set again or shared. All of May 1988, including the monthly compilation PDF.