Maths Funpack Activity A

Activity A1: Math Magician

The answer here is always 1:

1. Choose a number from 1 to 10
2. Double the number
3. Add 2 to the result
4. Divide that number by 2
5. Subtract the original number from the answer in step 4
6. The answer is always 1

How is this possible? (Hint: Algebra)

Let a represent a number from 1 to 10.

{[2(a)]+2} = (2a+2)

0.5(2a+2) - a = (a+1) - a =1

Activity A2: Number Magic Trick

The answer here is always 37:

1. Choose any number 1 through 9 and multiply it by 3
2. Repeat the original number three times, so it becomes a 3-digit number
3. Divide the answer in step 2 by the answer in step 1
4. Now, divide the answer by 15
5. The answer is always 37

How is this possible? (Hint: Algebra)

Let a represent a number from 1 through 9.

"Repeat the original number three times, so it becomes a 3-digit number"
E.g. if the number 4 is chosen, it would be 444. FInd the relationship between 4 & 444.

111(4) = 444

So, 

[(3a)/(111a)] /15 = 37

[0.02702702702702703..]/15 = 37

English Funpack

Chapter 4: Algebra Puzzle

Let a represent the star

Let b represent the umbrella

Let c represent the ice-cream

3a= 42

so, a=42/3= 14

a=14

a+2b=34=14+2b=34

34-14=2b=20

so, b= 20/2=10

2a+c=36

(14x2)+c=36=28+c=36

36-28=c=8

c=8

Ans: a=14

b=10

c=8

Let a represent the Flower

Let b represent the Apple

Let c represent the Pen

3a=69

a=69/3=23

3a+b=80=(3x23)+b=69+b

80-3a=80-69=b=11

2a+c=49=(2x23)+c=46+c

49-2a=49-46=c=3

Ans: a= 23

b=11

c= 03

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Numberline

My Mind Map For Maths

Day 2: End-of-Day Reflection (S1-06)