Math Reasoning Exercise: Set 1 - Questions 1 to 3
Question 1
Solution 1:
-7+19
22 +(-13)
Solution 2:
18+(-6)
(-3)+(12)
Solution 3:
12+0
3+6
Solution 4:
6+6
9+0
Solution 5:
11+1
4+5
Solution 6:
7+5
8+1
There are more solutions. Did you find the others..?
Question 2
Based on the responses
Most of the kids used their fingers to chart the routes from A to B and then B to C.
Some kids who are systematic counted 9 routes.
Most kids missed certain routes.
This approach is time consuming.. and we havent used math.
When we use math concepts We can get the answer faster.
We need to remember that the fundamentals of counting is multiplication
For example if there are 3 bags. each bag has 5 coconouts..
If we have to count the total number of coconuts..
The ideal way is to count the number of coconuts in 1 bag..i.e= 5
then as the number of coconuts is same in each bag.
We can just multiply 3 x 5 =15.
So all we need to is count the routes from A to B = 3
count the routes from B to C = 3
Total routes = 3 x 3 = 9
Use multiplication to count faster..not addition.
Now try the method of counting for the below sums
Now try the method of counting for the above sums
The first sum is about identifying the squares.
We learnt that to count squares.. we can count 1 2 3 4 5….or we can count rows and columns. 3 rows vs 3 columns. So 3×3 = 9 squares
There are more squares…
Now we need to observe the diagram differently, we can observe that four squares become one square. there 2 big squares on top and 2 big squares down. I have drawn it in the picture. There are now 2 x 2 = 4 big squares
Also can you see that there is one very big square. The whole diagram is one very big square.
So total number of squares is 9 small + 4 big + 1 very big = 14 squares.
Same way you can do for the triangle diagram
9 small triangle+ 3 big triangle + 1 very big = 13 triangles
