Worksheet: Mental Multiplication

In this worksheet, we will practice using different strategies to mentally multiply by one-digit numbers.

Q1:

Using the distributive property, solve 3×75 mentally.

Q2:

Evaluate 25×843×4 using the commutative and the associative properties.

Q3:

Calculate 28×4×6.

  • A118
  • B38
  • C52
  • D672

Q4:

Evaluate 87×2+87×98 using the distributive property.

Q5:

Use real number properties to evaluate 75(98) mentally.

Q6:

Use the properties of real numbers to evaluate 41850 mentally.

Q7:

Without using a calculator, find 598×602.

Q8:

Daniel knows that you can break apart numbers to make calculations easier.

Finish his calculation to find the answer. 35×2=7×5×2=7×10=?

Pick one way to break apart one of the factors to solve 5×16.

  • A 5 × 2 × 8
  • B 5 × 3 × 8
  • C 5 × 1 0 × 6
  • D 5 × 1 × 6

Which of these is equal to 5×16?

  • A 5 × 6 = 3 0
  • B 5 0 × 6 = 3 0 0
  • C 1 5 × 8 = 1 2 0
  • D 1 0 × 8 = 8 0

Q9:

We can use the associative property to help us multiply.

Find the missing factor. 16×5=(×2)×5.

Find the missing product. 16×5=.

Q10:

Which of these is equal to 18×5?

Hint: Remember that you can replace one of the factors by an expression it is equal to.

  • A 8 × 2 × 5
  • B 1 0 × 8 × 5
  • C 9 × 9 × 5
  • D 9 × 2 × 5

Q11:

David found a way to make 10 so he can multiply more easily.

Find the missing numbers using his strategy.

3 6 × 5 = × 1 0

2 × 3 5 = 1 0 ×

1 8 × 5 =

Q12:

Ethan and Scarlett know that they can multiply 3 numbers in any order.

They both find an expression that is equal to 7×4×5.

Ethan can’t solve 28×5. Use Scarlett’s expression to find the answer to 7×4×5.

If we don’t know 28×5, we can write 28 as and then solve 7×4×5 by first making 20.

  • A 7 × 4
  • B 6 × 5
  • C 6 × 3
  • D 8 × 3

Q13:

Calculate 14×8.

Use Amelia’s multiplication fact to help you.

Q14:

You know that 9×9=81, 9×8=72, and 9×3=27. Use this to find 9×17.

Q15:

Daniel wants to know the answer to 22×8. His friends tell him other multiples of 8.

Explain how he can use his friends’ answers to figure out 22×8.

  • AHe can subtract 42 from 200 because 22=253.
  • BHe can add 42 to 200 because 22=253.
  • CHe can subtract 24 from 200 because 22=253.
  • DHe can add 24 to 200 because 22=253.

What is 22×8?

Q16:

Use Jennifer's fact to find the missing numbers.

1 8 × 4 = 7 6

1 8 × 4 =

Q17:

Calculate 23×6.

Use David’s and Natalie’s facts to help you.

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