Equations and Formulae Short Problems: Age 11-14

This is part of our collection of Short Problems.

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

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

Printable worksheet: Age 11-14 ⭐   Printable worksheet: Age 11-14 ⭐⭐   Printable worksheet solutions


  • Small pepper seedlings in orange pots.
    problem

    Partial Magic

    Age
    11 to 14
    Challenge level

    This magic square has only been partially completed. Can you still solve it...

  • Small pepper seedlings in orange pots.
    problem

    Interstellar

    Age
    11 to 14
    Challenge level

    What number could replace x so that x/5 is between 3 and 4?

  • Small pepper seedlings in orange pots.
    problem

    Seven Dwarfs

    Age
    11 to 14
    Challenge level

    The Seven Dwarfs have seven different birthdays. How old can they be?

  • Small pepper seedlings in orange pots.
    problem

    Five-To

    Age
    11 to 14
    Challenge level

    The number 2005 is the sum of a sequence of five consecutive positive integers. What is the smallest of these integers?

  • Small pepper seedlings in orange pots.
    problem

    Luis' Eight

    Age
    11 to 14
    Challenge level

    Luis writes down eight consecutive positive integers. The sum of the three smallest numbers is 33. What is the sum of the three largest numbers?

  • Small pepper seedlings in orange pots.
    problem

    Shape Sums

    Age
    11 to 14
    Challenge level

    Given some relationships amongst these shapes, how many triangles equal one diamond?

  • Small pepper seedlings in orange pots.
    problem

    Turnips

    Age
    11 to 14
    Challenge level

    Baldrick could buy 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips. How many parsnips could he buy?

  • Small pepper seedlings in orange pots.
    problem

    Star Sum

    Age
    11 to 14
    Challenge level

    You may have seen magic squares before, but can you work out the missing numbers on this magic star?

  • Small pepper seedlings in orange pots.
    problem

    Symbol

    Age
    11 to 14
    Challenge level

    Using the new operator $\oplus$, can you solve this equation?

  • Small pepper seedlings in orange pots.
    problem

    Fifty Coins

    Age
    11 to 14
    Challenge level

    Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?

  • Small pepper seedlings in orange pots.
    problem

    Crossover

    Age
    11 to 14
    Challenge level

    The numbers 2 to 8 are to be placed in the diagram so that the row and column each adds to 21. Which numbers can replace x?

  • Small pepper seedlings in orange pots.
    problem

    Geometric Quadrilateral

    Age
    11 to 14
    Challenge level

    Each interior angle in a quadrilateral (apart from the smallest) is twice the previous one. What is the size of the smallest interior angle?

  • Small pepper seedlings in orange pots.
    problem

    Multiplication Mistake

    Age
    11 to 14
    Challenge level

    Jane accidentally multiplied by 54 instead of 45, and her answer was 198 too big. What number did she multiply 54 by?

  • Small pepper seedlings in orange pots.
    problem

    To Run or Not to Run?

    Age
    11 to 14
    Challenge level

    If an athlete takes 10 minutes longer to walk, run and cycle three miles than he does to cycle all three miles, how long does it take him?

  • Small pepper seedlings in orange pots.
    problem

    Named Products

    Age
    11 to 14
    Challenge level

    Can you find the solution to this equation? Each of the different letters stands for a different number.

  • Small pepper seedlings in orange pots.
    problem

    Magic 7

    Age
    11 to 14
    Challenge level

    Can you complete this magic square with the numbers from 7 to 15?

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