List

Year 7 Working Systematically

5 by 5 Mathdokus
problem
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5 by 5 Mathdokus

Age
7 to 16
Challenge level
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Can you use the clues to complete these 5 by 5 Mathematical Sudokus?
The Remainders Game
game
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The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

Consecutive Numbers
problem
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Consecutive Numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Dozens
problem
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Dozens

Age
7 to 14
Challenge level
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Can you select the missing digit(s) to find the largest multiple?
missing multipliers
problem
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Missing Multipliers

Age
7 to 14
Challenge level
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What is the smallest number of answers you need to reveal in order to work out the missing headers?
The Number Jumbler
problem
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The Number Jumbler

Age
7 to 14
Challenge level
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The Number Jumbler can always work out your chosen symbol. Can you work out how?
Two and Two
problem
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Two and Two

Age
7 to 16
Challenge level
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How many solutions can you find to this sum? Each of the different letters stands for a different number.

Parallelogram It
problem
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Parallelogram It

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Summing Consecutive Numbers
problem
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Summing Consecutive Numbers

Age
11 to 14
Challenge level
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15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Number Daisy
problem
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Number Daisy

Age
11 to 14
Challenge level
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Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Shady Symmetry
problem
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Shady Symmetry

Age
11 to 14
Challenge level
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How many different symmetrical shapes can you make by shading triangles or squares?
Number Pyramids
problem
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Number Pyramids

Age
11 to 14
Challenge level
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Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Square It
problem
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Square It

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Consecutive Seven
problem
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Consecutive Seven

Age
11 to 14
Challenge level
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Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
Factors and Multiples Puzzle
problem
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Factors and Multiples Puzzle

Age
11 to 14
Challenge level
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Using your knowledge of the properties of numbers, can you fill all the squares on the board?
m, m and m
problem
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M, M and M

Age
11 to 14
Challenge level
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If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Multiples Sudoku
problem
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Multiples Sudoku

Age
11 to 14
Challenge level
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Each clue in this Sudoku is the product of the two numbers in adjacent cells.
Sticky Numbers
problem
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Sticky Numbers

Age
11 to 14
Challenge level
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Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Going round in circles
problem
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Going round in circles

Age
11 to 14
Challenge level
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Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
Shifting Times Tables
problem
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Shifting Times Tables

Age
11 to 14
Challenge level
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Can you find a way to identify times tables after they have been shifted up or down?

Magic Letters
problem
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Magic Letters

Age
11 to 14
Challenge level
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Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Cryptarithms
problem
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Cryptarithms

Age
11 to 14
Challenge level
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Can you crack these cryptarithms?
Add to 200
problem
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Add to 200

Age
11 to 14
Challenge level
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By selecting digits for an addition grid, what targets can you make?
Guess \my Quad
problem
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Guess my Quad

Age
11 to 14
Challenge level
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How many questions do you need to identify my quadrilateral?

An Equilateral Triangular Problem
problem
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An Equilateral Triangular Problem

Age
11 to 14
Challenge level
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Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Can you Make 100?
problem
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Can you Make 100?

Age
11 to 14
Challenge level
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How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
Shape Products
problem
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Shape Products

Age
11 to 14
Challenge level
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These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?
Almost One
problem
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Almost One

Age
11 to 14
Challenge level
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Choose some fractions and add them together. Can you get close to 1?
Squares in rectangles
problem
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Squares in rectangles

Age
11 to 14
Challenge level
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A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?