Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
Can you hang weights in the right place to make the equaliser
Use the number weights to find different ways of balancing the equaliser.
This is an adding game for two players.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Find all the numbers that can be made by adding the dots on two dice.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
In this game, you can add, subtract, multiply or divide the numbers
on the dice. Which will you do so that you get to the end of the
number line first?
Have a go at this game which involves throwing two dice and adding
their totals. Where should you place your counters to be more
likely to win?
An old game but lots of arithmetic!
In how many ways could Mrs Beeswax put ten coins into her three
puddings so that each pudding ended up with at least two coins?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
If you hang two weights on one side of this balance, in how many
different ways can you hang three weights on the other side for it
to be balanced?
This dice train has been made using specific rules. How many different trains can you make?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
How could you put eight beanbags in the hoops so that there are
four in the blue hoop, five in the red and six in the yellow? Can
you find all the ways of doing this?
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
Try adding together the dates of all the days in one week. Now
multiply the first date by 7 and add 21. Can you explain what
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
A group of children are using measuring cylinders but they lose the
labels. Can you help relabel them?
There are 44 people coming to a dinner party. There are 15 square
tables that seat 4 people. Find a way to seat the 44 people using
all 15 tables, with no empty places.
This challenge is about finding the difference between numbers which have the same tens digit.
Suppose there is a train with 24 carriages which are going to be
put together to make up some new trains. Can you find all the ways
that this can be done?
If you have only four weights, where could you place them in order
to balance this equaliser?
Can you make a train the same length as Laura's but using three
differently coloured rods? Is there only one way of doing it?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the
numbers on each circle add up to the same amount. Can you find the
rule for giving another set of six numbers?
If you had any number of ordinary dice, what are the possible ways
of making their totals 6? What would the product of the dice be
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Zumf makes spectacles for the residents of the planet Zargon, who
have either 3 eyes or 4 eyes. How many lenses will Zumf need to
make all the different orders for 9 families?
Arrange eight of the numbers between 1 and 9 in the Polo Square
below so that each side adds to the same total.
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
Add the sum of the squares of four numbers between 10 and 20 to the
sum of the squares of three numbers less than 6 to make the square
of another, larger, number.
Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?
Move from the START to the FINISH by moving across or down to the
next square. Can you find a route to make these totals?
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Tim had nine cards each with a different number from 1 to 9 on it.
How could he have put them into three piles so that the total in
each pile was 15?
Find your way through the grid starting at 2 and following these
operations. What number do you end on?
This magic square has operations written in it, to make it into a
maze. Start wherever you like, go through every cell and go out a
total of 15!
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
You have 5 darts and your target score is 44. How many different
ways could you score 44?