List

Year 7 Working systematically

missing multipliers
problem

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

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?
5 by 5 Mathdokus
problem

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?
Consecutive Numbers
problem

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

Dozens

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

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.
Shady Symmetry
problem

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

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?
Consecutive Seven
problem

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

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

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

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

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

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

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

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

Cryptarithms

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

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?
Can you Make 100?
problem

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

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

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?
Summing Consecutive Numbers
problem

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

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?
Squares in rectangles
problem

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?