 # Solve Equal or Unequal Problems

In this worksheet, students will be asked to solve a range of problems that use the equal sign. Students will have to decide whether the equals sign represents a balanced mathematical statement. Key stage:  KS 2

Curriculum topic:   Number: Multiplication and Division

Difficulty level:   ### QUESTION 1 of 10

The equals sign (=) is a very important mathematical statement that shows two things are equal in value.

Example 1

True or false?

124 x 2 = 199 + 49

Work out each side separately

124 x 2 = 248

199 + 49 = 248

In this example, the two sides are both equal as they both total 248. Therefore the statement is true.

Example 2:

True or false?

14² = (5 x 8) + 144

Work out each side separately

Remember that to square a number, means to multiply it by itself.

14² = 14 x 14 = 196

(5 x 8) + 144 = 40 + 144 = 184

Remember to complete operations in brackets first.

In this example, the sides are not equal, so it's false.

Look carefully at this mathematical statement, is it true or false?

256 x 3 = 345 x 2

True

False

Look carefully at this mathematical statement, is it true or false?

13² = 216 - 47

True

False

Look carefully at this mathematical statement, is it true or false?

684 ÷ 3 = (100.5 x 2) + 27

True

False

Below are a range of mathematical statements.

Can you calculate whether each is 'true' or 'false' and label correctly?

## Column B

62 x 4 = 300 - 52
True
99 ÷ 2 = 48.5 x 2
False
105 + 339 = 222 x 2
False
16² = 14² + 50
True

Below are a range of mathematical statements.

Can you calculate whether each is 'true' or 'false' and label correctly?

## Column B

192 ÷ 2 = (8 x 8) + 4
False
12² = 196 - 52
True
48 x 4 = 400 - 208
True
69 x 3 = 621 ÷ 3
True

Below is a mathematical statement that has a missing number.

Can you write the missing number so that the statement is equal on both sides?

63 x 6 = 400 - ?

Below is a mathematical statement that has a missing number.

Can you write the missing number so that the statement is equal on both sides?

480 ÷ ? = (45 x 2) + 30

Below is a mathematical statement that has a missing number.

Can you write the missing number so that the statement is equal on both sides?

17² = (700 ÷ 2) - ?

Reuben says that 89 x 6 is the same as 1000 - 489.

Is Reuben correct or incorrect?

Correct

Incorrect

Claire says that 15² is the same as 1000 ÷ 4

Is Claire correct or incorrect?

Correct

Incorrect

• Question 1

Look carefully at this mathematical statement, is it true or false?

256 x 3 = 345 x 2

False
EDDIE SAYS
256 x 3 = 768 345 x 2 = 690 This statement is false, the two sides are not equal.
• Question 2

Look carefully at this mathematical statement, is it true or false?

13² = 216 - 47

True
EDDIE SAYS
13² = 169 216 - 47 = 169 The statement is true, both sides of the statement are equal.
• Question 3

Look carefully at this mathematical statement, is it true or false?

684 ÷ 3 = (100.5 x 2) + 27

True
EDDIE SAYS
684 ÷ 3 = 228 (100.5 x 2) + 27 = 201 + 27 = 228 The statement is true, both sides of the statement are equal. Remember to complete any operation in brackets first. Are you beginning to wrap your head around this?
• Question 4

Below are a range of mathematical statements.

Can you calculate whether each is 'true' or 'false' and label correctly?

## Column B

62 x 4 = 300 - 52
True
99 ÷ 2 = 48.5 x 2
False
105 + 339 = 222 x 2
True
16² = 14² + 50
False
EDDIE SAYS
That was quite a challenging one! Remember to work out each side separately before deciding if the statement is true or false. 62 x 4 = 300 - 52 = True (Both sides = 248) 99 ÷ 2 = 48.5 x 2 = False ( 99 ÷ 2 = 49.5 and 48.5 x 2 = 97) 105 + 339 = 222 x 2 = True (Both sides = 444) 16² = 14² + 50 = False (16² = 256 and 14² + 50 =246)
• Question 5

Below are a range of mathematical statements.

Can you calculate whether each is 'true' or 'false' and label correctly?

## Column B

192 ÷ 2 = (8 x 8) + 4
False
12² = 196 - 52
True
48 x 4 = 400 - 208
True
69 x 3 = 621 ÷ 3
True
EDDIE SAYS
Again, there was a lot to think about! Remember to work out each side separately before deciding if the statement is true or false. 192 ÷ 2 = (8 x 8) + 4 = False (192 ÷ 2 = 96 and (8 x 8) + 4 = 68) 12² = 196 - 52 = True (Both sides = 144) 48 x 4 = 400 - 208 = True (Both sides = 192) 69 x 3 = 621 ÷ 3 = True (Both sides = 207)
• Question 6

Below is a mathematical statement that has a missing number.

Can you write the missing number so that the statement is equal on both sides?

63 x 6 = 400 - ?

22
EDDIE SAYS
To find the missing number and make both sides equal, we had to work out 63 x 6 first of all. 63 x 6 = 378. Then, we had to find the difference between 378 and 400. 400 - 378 = 22. So, 400 - 22 = 378. The missing number is 22.
• Question 7

Below is a mathematical statement that has a missing number.

Can you write the missing number so that the statement is equal on both sides?

480 ÷ ? = (45 x 2) + 30

4
EDDIE SAYS
To find the missing number and make both sides equal, we had to work out (45 x 2) + 30, first. 45 x 2 = 90 + 30 = 120 Now, we know we need to work out how many times 120 can fit into 480. 480 ÷ 120 = 4 So 480 ÷ 4 = 120 The missing number is 4.
• Question 8

Below is a mathematical statement that has a missing number.

Can you write the missing number so that the statement is equal on both sides?

17² = (700 ÷ 2) - ?

61
EDDIE SAYS
To find the missing number and make both sides equal, we had to work out 17² first of all. 17² = 289 Now, we had to work out the other part of the statement that we have been given. (700 ÷ 2) = 350 Finally, we have to find the amount we need to subtract from 350 to reach 289. 350 - 289 = 61 350 - 61 = 289 The missing number is 61.
• Question 9

Reuben says that 89 x 6 is the same as 1000 - 489.

Is Reuben correct or incorrect?

Incorrect
EDDIE SAYS
Reuben is incorrect. 89 x 6 = 534 1000 - 489 = 511. The two statements are not equal.
• Question 10

Claire says that 15² is the same as 1000 ÷ 4

Is Claire correct or incorrect?

Incorrect
EDDIE SAYS
Claire is incorrect. 15² = 225 1000 ÷ 4 = 250 The two statements are not equal. Practice makes perfect! That’s another activity ticked off!
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