Being Resilient - Secondary Students
Inside Triangles
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Robot Monsters
Use these head, body and leg pieces to make Robot Monsters which are different heights.
Mixed-up Socks
Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?
Find the Difference
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Rolling That Cube
My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?
Four Triangles Puzzle
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Developing Students' Resilience
Resources to accompany the Being Resilience collections.
How Many Times?
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
Dicey Perimeter, Dicey Area
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
Nine-pin Triangles
How many different triangles can you make on a circular pegboard that has nine pegs?
Which Scripts?
There are six numbers written in five different scripts. Can you sort out which is which?
Maze 100
Can you go through this maze so that the numbers you pass add to exactly 100?
Reach 100
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Make 37
Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?
Got It
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Number Lines in Disguise
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Factor Lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Factors and Multiples Game
A game in which players take it in turns to choose a number. Can you block your opponent?
Substitution Cipher
Find the frequency distribution for ordinary English, and use it to help you crack the code.
M, M and M
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Frogs
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Factors and Multiples Puzzle
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
Isosceles Triangles
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
Elevenses
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Can You Make 100?
How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
Reflecting Squarely
In how many ways can you fit all three pieces together to make shapes with line symmetry?
Add to 200
By selecting digits for an addition grid, what targets can you make?
Number Daisy
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?
Forwards Add Backwards
What happens when you add a three digit number to its reverse?
American Billions
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
Overlaps
Can you find ways to put numbers in the overlaps so the rings have equal totals?
Where Can We Visit?
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?
Tower of Hanoi
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Squares in Rectangles
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?
Cuboids
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Triangles to Tetrahedra
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Charlie's Delightful Machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Same Length
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
Wipeout
Can you do a little mathematical detective work to figure out which number has been wiped out?
Product Sudoku
The clues for this Sudoku are the product of the numbers in adjacent squares.
Funny Factorisation
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
Nine Colours
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Shopping Basket
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
Two and Two
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Last Biscuit
Can you find a strategy that ensures you get to take the last biscuit in this game?
A Little Light Thinking
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
In a Box
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
Partly Painted Cube
Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
Difference Sudoku
Use the differences to find the solution to this Sudoku.
Latin Numbers
Can you create a Latin Square from multiples of a six digit number?
Data Matching
Use your skill and judgement to match the sets of random data.
Kite in a Square
Can you make sense of the three methods to work out what fraction of the total area is shaded?