BALANCING AND SOLVING WITH SHAPES WORKSHEET

Problem 1 :

Solve

12 = 78 - ▲

Solution

Problem 2 :

Solve 

23 = 56 - 

Solution

Problem 3 :

Solve 

32 = 78 - 

Solution

Problem 4 :

Solve 

36 = 112 - 

Solution

Problem 5 :

Solve 

52 = 105 - 

Solution

Solve the following word problems using inverse operations. The equations are partially set up. You may like to use a calculator.

Problem 6 :

For my school fete I baked 3 batches of cookies, realized that wasn’t enough and so I bought a dozen more. How many were in one batch if I had 84 cookies altogether?

Solution

Problem 7 :

8 same sized year 5 classes assembled in the playground for photo day. There were 11 students absent. How many students are there in each class if there were 213 there on the day?

Solution

Answer Key

1) ▲ = 66

2)  ▲ = 33

3)  ▲ = 46

4)  ▲ = 76

5)  ▲ = 53

6)  ▲ = 24

7)  ▲ = 28

Problem 1 :

Work out the value of the diamond in each question. Notice the same symbol is added 3 items. 

balancingwithshapeandsignq1

Solution

Problem 2 :

balancingwithshapeandsignq2

Solution

Problem 3 :

balancingwithshapeandsignq3.png

Solution

Problem 4 :

balancingwithshapeandsignq4.png

Solution

Problem 5 :

balancingwithshapeandsignq5.png

Solution

Problem 6 :

balancingwithshapeandsignq6.png

Solution

Problem 7 :

balancingwithshapeandsignq8.png

Solution

Problem 8 :

balancingwithshapeandsignq8.png

Solution

Problem 9 :

balancingwithshapeandsignq9.png

Solution

Problem 10 :

balancingwithshapeandsignq10.png

Solution

Problem 11 :

balancingwithshapeandsignq11.png

Solution

Problem 12 :

balancingwithshapeandsignq12.png

Solution

Problem 13 :

balancingwithshapeandsignq13.png

Answer Key

1)  the value of one diamond = 4

2)  the value of one diamond = 12

3)  the value of one diamond = 15

4) the value of one star = 3

5) the value of one heart = 6

6)  the value of one smile = 7

7)  the value of one triangle is 4.

8)  One circle = 5, one star = 12

9)  1 circle = 30 and 1 triangle = 35

10)  1 circle = 6 and 1 triangle = 18

11)  One star = 4, 1 circle = 96 and 1 triangle = 92

12)  1 circle = 5 and 1 star = 30

13)  1 star = 8, 1 triangle = 9 and 1 circle = 11

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