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All questions of Calculation, Positive and Negative Numbers for Year 5 Exam

What is the cost of one truck if the total cost for three trucks is $18?
  • a)
    $3
  • b)
    $9
  • c)
    $6
  • d)
    $12
Correct answer is option 'C'. Can you explain this answer?

To find the cost of one truck when the total cost for three trucks is $18, divide the total cost by the number of trucks: $18 ÷ 3 = $6. Thus, the cost of one truck is $6.

Which operation is considered the inverse of addition?
  • a)
    Subtraction
  • b)
    Multiplication
  • c)
    Division
  • d)
    Exponentiation
Correct answer is option 'A'. Can you explain this answer?

Subtraction is the inverse operation of addition. This relationship allows for solving equations where an unknown quantity needs to be found, demonstrating the interconnectedness of arithmetic operations.

What does estimation involve before performing exact calculations?
  • a)
    Guessing the result
  • b)
    Ignoring rounding
  • c)
    Using complex formulas
  • d)
    Approximating the result
Correct answer is option 'D'. Can you explain this answer?

Estimation is the process of approximating the result of a calculation to make quick assessments. This is often used in real-world applications to gauge values before exact calculations are made.

When performing calculations across zero on a number line, what is the process called?
  • a)
    Negative crossing
  • b)
    Bridging zero
  • c)
    Crossing zero
  • d)
    Zero addition
Correct answer is option 'B'. Can you explain this answer?

Bridging zero refers to the method used when calculations involve moving from positive to negative numbers or vice versa. Understanding this concept is crucial for accurately adding and subtracting integers.

If the product of 234 and 3 is calculated using place value, what is the total?
  • a)
    300
  • b)
    612
  • c)
    702
  • d)
    642
Correct answer is option 'C'. Can you explain this answer?

To calculate 234 × 3 using place value, break it down as follows:
  • 200 × 3 = 600
  • 30 × 3 = 90
  • 4 × 3 = 12
Total: 600 + 90 + 12 = 702. This method simplifies multiplication by leveraging place value components.

In the context of missing number problems, what is a common method to find unknown quantities?
  • a)
    Adding random numbers
  • b)
    Ignoring the unknown
  • c)
    Guessing
  • d)
    Using inverse operations
Correct answer is option 'D'. Can you explain this answer?

A common method for solving missing number problems involves using inverse operations, such as recognizing that addition is the inverse of subtraction. This approach helps in systematically finding unknowns in mathematical equations.

What is the key characteristic of positive numbers?
  • a)
    They are greater than zero.
  • b)
    They are equal to zero.
  • c)
    They are less than zero.
  • d)
    They can be either positive or negative.
Correct answer is option 'A'. Can you explain this answer?

Positive numbers are defined as those that are greater than zero. This fundamental concept is essential in mathematics, particularly in operations involving both positive and negative numbers.

What is the result of 4 - 4 - 5?
  • a)
    5
  • b)
    -5
  • c)
    0
  • d)
    -1
Correct answer is option 'B'. Can you explain this answer?

To calculate 4 - 4 - 5, proceed step-by-step:
  • First, 4 - 4 = 0 (subtract 4 to reach zero).
  • Then, 0 - 5 = -5 (subtract the remaining 5).
Thus, 4 - 4 - 5 = -5. This demonstrates bridging zero when moving from positive to negative numbers on a number line.

What does the associative law allow in multiplication?
  • a)
    Dividing factors
  • b)
    Grouping factors
  • c)
    Changing the order of factors
  • d)
    Adding factors together
Correct answer is option 'B'. Can you explain this answer?

The associative law of multiplication allows grouping factors in different ways without changing the product. For example, 46 × 2 × 5 can be grouped as (46 × 2) × 5 = 92 × 5 = 460, or 46 × (2 × 5) = 46 × 10 = 460, simplifying calculations.

Which law allows the reordering of factors in multiplication?
  • a)
    Distributive law
  • b)
    Commutative law
  • c)
    Associative law
  • d)
    Identity law
Correct answer is option 'B'. Can you explain this answer?

The commutative law of multiplication allows the reordering of factors without changing the product. For example, 46 × 2 × 5 can be reordered as 46 × (2 × 5) = 46 × 10 = 460, demonstrating the flexibility in multiplication order.

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