Functions and Graphs Short Problems: Age 11-14

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Functions and Graphs: Age 11-14.

We have put together a selection of these short problems as printable worksheets:

Printable worksheet: Age 11-14 ⭐   Printable worksheet solutions


  • Small pepper seedlings in orange pots.
    problem

    Spiral Snail

    Age
    11 to 14
    Challenge level

    A snail slithers around on a coordinate grid. At what position does he finish?

  • Small pepper seedlings in orange pots.
    problem

    Bucket of Water

    Age
    11 to 14
    Challenge level

    Lisa's bucket weighs 21 kg when full of water. After she pours out half the water it weighs 12 kg. What is the weight of the empty bucket?

  • Small pepper seedlings in orange pots.
    problem

    Circumference and Diameter

    Age
    11 to 14
    Challenge level

    Which of these graphs could be the graph showing the circumference of a circle in terms of its diameter?

  • Small pepper seedlings in orange pots.
    problem

    Paper Weight

    Age
    11 to 14
    Challenge level

    How could you use this graph to work out the weight of a single sheet of paper?

  • Small pepper seedlings in orange pots.
    problem

    Straight Line Spin

    Age
    11 to 14
    Challenge level

    Can you draw the graph of $y=x$ after it has been rotated $90$ degrees clockwise about $(1,1)$?

  • Small pepper seedlings in orange pots.
    problem

    Lattice Points on a Line

    Age
    11 to 14
    Challenge level

    How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?

  • Small pepper seedlings in orange pots.
    problem

    Graph Area

    Age
    11 to 14
    Challenge level

    Can you find the area between this graph and the x-axis, between x=3 and x=7?

  • Small pepper seedlings in orange pots.
    problem

    Point in Between

    Age
    11 to 14
    Challenge level

    Find the point on the line segment AB that is twice as far from B as it is from A.

  • Small pepper seedlings in orange pots.
    problem

    Linear Area

    Age
    11 to 14
    Challenge level

    Find the area of the triangle enclosed by these lines.

Displaying 1 - 9 of 9