Simplification - Class 5 Mathematics Free MCQ Test with solutions

To solve the expression 60 ÷ 5 × (16 – 8 ÷ 2) ÷ 3, follow these steps:

• First, simplify inside the parentheses: 8 ÷ 2 = 4.
• Now substitute back: 16 – 4 = 12.
• The expression now reads: 60 ÷ 5 × 12 ÷ 3.

Next, perform the operations from left to right:

• First, calculate 60 ÷ 5 = 12.
• Next, multiply: 12 × 12 = 144.
• Finally, divide: 144 ÷ 3 = 48.

The final result is 48.

To solve the expression 3 + 6 ÷ 2 – 4, follow these steps:

• Start with the division:
• 6 ÷ 2 equals 3.
• Now substitute this back into the expression:
• It becomes 3 + 3 – 4.
• Next, perform the addition:
• 3 + 3 equals 6.
• Finally, subtract 4:
• 6 – 4 equals 2.

Thus, the final result is 2.

To solve the expression 2 × (4 + 5) – 2, follow these steps:

• First, calculate the expression inside the parentheses: (4 + 5).
• This gives us 9.
• Next, multiply the result by 2: 2 × 9 = 18.
• Finally, subtract 2 from 18: 18 – 2 = 16.

The final answer is 16.

To solve 36 – [12 + (3 × 10 ÷ 2)], we follow the order of operations (BODMAS/BIDMAS):

• Brackets: Start with the expression inside the brackets: 12 + (3 × 10 ÷ 2).
• Multiplication and Division: Calculate 3 × 10 first, which equals 30.
• Next, divide 30 ÷ 2, resulting in 15.
• Addition: Now add this result to 12: 12 + 15 equals 27.

Now, substitute back into the original equation:

• We have 36 – 27.
• Perform the subtraction: 36 – 27 = 9.

The final answer is 9.

• Start with the innermost part: (18 – 18)
  Inside the round brackets, we have 18 – 18.
  18 minus 18 is 0.
  So, the problem becomes:
  18 – [18 – {18 – 0 – 18}]
• Now solve inside the curly braces: {18 – 0 – 18}
  First, do 18 – 0, which is 18.
  Then, take away 18: 18 – 18 = 0.
  So, the problem now is:
  18 – [18 – 0]
• Next, solve inside the square brackets: [18 – 0]
  18 minus 0 is just 18.
  So, the problem becomes:
  18 – 18
• Finally, solve 18 – 18
  18 minus 18 is 0.
  So, the answer is 0.

To solve the expression 25 + 14 ÷ (5 – 3), follow these steps:

• First, calculate the expression inside the parentheses: (5 – 3) equals 2.
• Next, perform the division: 14 ÷ 2 equals 7.
• Finally, add this result to 25: 25 + 7 equals 32.

The final answer is 32.

To solve the expression 15 + [18 – {4 + (16 – 5)}], follow these steps:

• Start with the innermost brackets: (16 – 5).
• Calculate 16 – 5 which equals 11.
• Replace in the expression: 4 + 11.
• Now, calculate 4 + 11 which equals 15.
• Replace back in the expression: 18 – 15.
• Next, calculate 18 – 15 which results in 3.
• Finally, replace back into the original expression: 15 + 3.
• Calculate 15 + 3, giving the final answer of 18.

The correct answer is 18.

To solve the expression:

• First, perform the multiplication: 5 × 4 = 20.
• Next, divide the result by 2: 20 ÷ 2 = 10.
• Finally, add 2 to the result: 10 + 2 = 12.

The final answer is 12.

To solve the expression 20 – 3 – [7 – {2 + (4 – 3)}], follow these steps:

• Start by simplifying the innermost brackets:
• Calculate (4 – 3), which equals 1.
• Next, substitute this value into the expression:
• The expression now reads 20 – 3 – [7 – {2 + 1}].
• Simplify {2 + 1} to get 3.
• Replace the brackets:
• The expression now is 20 – 3 – [7 – 3].
• Simplify [7 – 3] to obtain 4.
• The expression is now 20 – 3 – 4.
• Finally, perform the subtraction:
• Calculate 20 – 3 to get 17.
• Then, subtract 4: 17 – 4 = 13.

The final answer is 13.

Simplify the expression: (10 - 3) - (5 - 6 ÷ 3)

To solve this, follow these steps:

• Start with the inner division: 6 ÷ 3 equals 2.
• Now, substitute this value back into the expression:
• The expression now reads: (10 - 3) - (5 - 2).
• Next, calculate the brackets:
• 10 - 3 equals 7.
• 5 - 2 equals 3.
• Now, the expression simplifies to: 7 - 3.
• Finally, perform the subtraction:
• 7 - 3 equals 4.

The final answer is 4.