Year 4 Exploring and noticing
-
-
problemFavouriteDiscuss and Choose
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
-
problemFavouriteSeeing Squares
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.
-
problemFavouriteZias and Zepts
On the planet Vuv there are two sorts of creatures. The Zias have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zias and how many Zepts were there?
-
problemFavouriteLet Us Reflect
Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?
-
problemFavouriteFractional Triangles
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
-
problemFavouriteHow Big Are Classes 5, 6 and 7?
Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.
-
problemFavouriteThe Thousands Game
Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
-
problemFavouriteMultiplication Square Jigsaw
Can you complete this jigsaw of the multiplication square?
-
problemFavouriteFour-Digit Targets
You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
-
problemFavouriteNice or Nasty
There are nasty versions of this dice game but we'll start with the nice ones...
-
-
problemFavouriteRound the Dice Decimals 1
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
-
problemFavouriteCount Me In
How do you know whether you will reach these numbers when you count in steps of six from zero?
-
problemFavouriteSeeing Parallelograms
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.
-
problemFavouriteDigit Discovery
Here is an interesting property about two sets of digits. Can you work out what the digits might be?
-
problemFavouriteRoll These Dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
-
problemFavouriteAmy's Dominoes
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
-
problemFavouriteFractions in a Box
The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.
-
problemFavouriteTake Your Dog for a Walk
Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?
-
problemFavouriteMultiples Grid
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
-
problemFavouriteFour Go
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
-
problemFavouriteTable Patterns Go Wild!
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
-
problemFavouriteCut It Out
Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
-
problemFavouriteReflectoR ! RotcelfeR
Can you place the blocks so that you see the reflection in the picture?
-
problemFavouriteReasoned Rounding
Four strategy dice games to consolidate pupils' understanding of rounding.
-
problemFavouriteClimbing Conundrum
Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?
-
problemFavouriteChocolate
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?