Arithmetic Patterns

Grade 3 Math Worksheet - Challenge Me

Circle the answer.

1. 1.

   What are the next two numbers in this pattern?

   • 23, 27
   • 23, 28
   • 21, 23
   • 22, 25
2. 2.

   Which number is in both the 4s row and the 6s row?

   • 18
   • 16
   • 24
   • 30
3. 3.

   Tia says 6 × 7 is odd because 7 is odd. Is she right?

   • No, 6 × 7 is even because 7 is odd
   • No, 6 × 7 is even because 6 is even
   • Yes, an odd factor always makes an odd product
   • Yes, 6 × 7 is 43, which is odd
4. 4.

   The digits of a 9s product add to 9. Which number could be in the 9s row?

   • 63
   • 53
   • 73
   • 64
5. 5.

   Look at the ones digits of the 8s row: 8, 16, 24, 32, 40. What pattern do they make?

   • 0, 2, 4, 6, 8
   • 8, 7, 6, 5, 4
   • 8, 6, 4, 2, 0
   • 8, 4, 2, 6, 0
6. 6.

   Sam adds three odd numbers: 3 + 5 + 7. Is the sum even or odd? Why?

   • even, because odd numbers always add to an even number
   • odd, because any sum of odd numbers is odd
   • even, because 3 + 5 + 7 is 16
   • odd, because odd + odd is even, then even + odd is odd
7. 7.

   The 3s row and the 3s column of a multiplication table have the same numbers. Why?

   • every number in the 3s row is odd
   • 3 × 5 is the same as 3 + 5
   • 3 × 5 is the same as 5 × 3
   • each row is 3 more than the last
8. 8.

   Without multiplying, how do you know 5 × 9 is odd?

   • every 5s product ends in 5
   • both factors are odd
   • one factor is even
   • 5 + 9 is an even number
9. 9.

   What rule fits this pattern?

   • add 4 each time
   • add 12 each time
   • multiply by 3 each time
   • multiply by 2 each time
10. 10.

    Kim says every product in the 6s row is even. Which reason proves it?

    • 6 × 3 = 18, and 18 is even
    • the other factor is always even
    • 6 is even, and an even factor makes an even product
    • every 6s product ends in 6