Year 7 Working systematically

game

Favourite

The remainders game

Age

7 to 14

Challenge level

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

problem

The Number Jumbler

Age

7 to 14

Challenge level

The Number Jumbler can always work out your chosen symbol. Can you work out how?

problem

Consecutive numbers

Age

7 to 14

Challenge level

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

problem

5 by 5 Mathdokus

Age

7 to 16

Challenge level

Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

problem

Dozens

Age

7 to 14

Challenge level

Can you select the missing digit(s) to find the largest multiple?

problem

Missing multipliers

Age

7 to 14

Challenge level

What is the smallest number of answers you need to reveal in order to work out the missing headers?

problem

Two and two

Age

7 to 16

Challenge level

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

$Guess \my Quad$

problem

Guess my quad

Age

11 to 14

Challenge level

How many questions do you need to identify my quadrilateral?

problem

An equilateral triangular problem

Age

11 to 14

Challenge level

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

problem

Can you make 100?

Age

11 to 14

Challenge level

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

problem

Shape products

Age

11 to 14

Challenge level

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

problem

Almost one

Age

11 to 14

Challenge level

Choose some fractions and add them together. Can you get close to 1?

problem

Summing consecutive numbers

Age

11 to 14

Challenge level

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?

problem

Parallelogram it

Age

11 to 16

Challenge level

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.

problem

Number daisy

Age

11 to 14

Challenge level

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?

problem

Reflecting squarely

Age

11 to 14

Challenge level

In how many ways can you fit all three pieces together to make shapes with line symmetry?

problem

Shady symmetry

Age

11 to 14

Challenge level

How many different symmetrical shapes can you make by shading triangles or squares?

problem

Number pyramids

Age

11 to 14

Challenge level

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

problem

Square it

Age

11 to 16

Challenge level

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.

problem

Consecutive seven

Age

11 to 14

Challenge level

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?

problem

Factors and multiples puzzle

Age

11 to 14

Challenge level

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

problem

M, M and M

Age

11 to 14

Challenge level

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

problem

Multiples Sudoku

Age

11 to 14

Challenge level

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

problem

Sticky numbers

Age

11 to 14

Challenge level

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

problem

Going round in circles

Age

11 to 14

Challenge level

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

problem

Shifting times tables

Age

11 to 14

Challenge level

Can you find a way to identify times tables after they have been shifted up or down?

problem

Changing areas, changing perimeters

Age

11 to 14

Challenge level

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

problem

Magic letters

Age

11 to 14

Challenge level

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

problem

Hidden squares

Age

11 to 14

Challenge level

Can you find the squares hidden on these coordinate grids?

problem

Perimeter possibilities

Age

11 to 14

Challenge level

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

problem

Cryptarithms

Age

11 to 14

Challenge level

Can you crack these cryptarithms?

problem

Add to 200

Age

11 to 14

Challenge level

By selecting digits for an addition grid, what targets can you make?

problem

Perimeter challenge

Age

11 to 14

Challenge level

Can you deduce the perimeters of the shapes from the information given?

problem

On the edge

Age

11 to 14

Challenge level

If you move the tiles around, can you make squares with different coloured edges?

problem

Squares in rectangles

Age

11 to 14

Challenge level

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?

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For younger learners

Year 7 Working systematically