This document provides an overview of grade 4 math topics including mental math, order of operations, word problems, and relevant Massachusetts frameworks. It contains examples of multiplication and division problems to solve mentally as well as multi-step word problems involving the four basic operations. The frameworks reference standards related to selecting the appropriate operation to solve problems, accurately performing multi-digit calculations, and using the four operations to solve word problems involving comparison or multiple steps.

1. Grade 4 Math
Multiplication, Division, & Word
Problems
By Terrell Johnson

2. Table of Contents
1. Mental Math
2. Order of Operations
3. Word Problems
4. Ma Frameworks

3. Mental Math
• Without using a piece of paper and pencil,
solve the given problems.
• You have 5 Seconds to find the correct
answer.

4. Solve
1 x 9 = ?
Answer = 9

5. Solve
2 x 7 = ?
Answer = 14

6. Solve
3 x 5 = ?
Answer = 15

7. Solve
2 x 9 = ?
Answer = 18

8. Solve
5 x 9 = ?
Answer = 45

9. Solve
8 x 9 = ?
Answer = 72

10. Solve
8 x 7 = ?
Answer = 56

11. Solve
7 x 6 = ?
Answer = 42

12. Solve
4 x 7 = ?
Answer = 28

13. Solve
4 x 12 = ?
Answer = 48

14. Solve
13 x 2 = ?
Answer = 26

15. Solve
11 x 5 = ?
Answer = 55

16. Solve
6 x 7 = ?
Answer = 42

17. Solve
10 x 9 = ?
Answer = 90

18. Solve
5 x 8 = ?
Answer = 40

19. Solve
7 x 7 = ?
Answer = 49

20. Solve
8 x 8 = ?
Answer = 64

21. Solve
9 x 9 = ?
Answer = 81

22. Solve
7 x 9 = ?
Answer = 63

23. Solve
0 x 9 x 1 = ?
Answer = 0

24. Order of Operations
PEMDAS
1.Parenthesis
2.Exponents
3.Multiplication
4.Division
5.Addition
6.Subtraction
Use a piece of paper and pencil if needed.

25. Order of Operations
4 × 3 + 13 + (12 × 9) = ?
Answer = 133

26. Order of Operations
4 + (16 × 10 – 15 – 35) = ?
Answer = 114

27. Order of Operations
(31 + 19 × 7) × 5 × 3 = ?
Answer = 2460

28. Order of Operations
33 + 25 × (5 + 6) + 11 = ?
Answer = 319

29. Order of Operations
10 × 4 – 23 – (13 + 4) = ?
Answer = 0

30. Order of Operations
(36 + 20 × 3 + 37) × 4 = ?
Answer = 532

31. Order of Operations
9 × 6 × 4 – (6 × 6) = ?
Answer = 180

32. Order of Operations
(1 × 10 + 5) × 1 × 10 = ?
Answer = 150

33. Order of Operations
2 × 6 + (28 + 16) × 1 = ?
Answer = 56

34. Order of Operations
(6 × 5) + 1 × 3 – 7 = ?
Answer = 26

35. Order of Operations
10 + 3 × 8 + (15 × 7) = ?
Answer = 139

36. Order of Operations
(16 + 40 – 3) × 7 – 40 = ?
Answer = 331

37. Order of Operations
6 × 1 + (10 × 1 + 16) = ?
Answer = 32

38. Order of Operations
5 × 3 × 6 × (4 + 25) = ?
Answer = 2610

39. Order of Operations
5 × 4 × (2 × 2 + 19) = ?
Answer = 460

40. Order of Operations
(13 + 30 + 22) × 1 + 16 = ?
Answer = 81

41. Order of Operations
3 × (4 + 6 × 9) – 1 = ?
Answer = 173

42. Word Problems
Solve the given problem with your partner.
Use a piece of paper and pencil if needed.

43. Ellen went to a garage sale to buy
chairs. Each chair cost 15 dollars.
How much money did Ellen spend
for the 12 chairs she bought?
Answer = 180 dollars

44. Three-toed sloths have four legs.
How many toes would 25 sloths
have?
Answer = 300 Toes

45. Albert has two snakes. The garden
snake is 10 inches long. The boa
constrictor is 7 times longer than
the garden snake. How long is the
boa constrictor?
Answer = 70 inches long

46. Albert’s cabbage patch has 12
rows of cabbage. In each row,
there are 15 heads of cabbage.
How many heads of cabbage does
Albert have in all?
Answer = 180 heads of cabbage

47. Marie can bike at a speed of 12
miles an hour. How far can she
bike in 31 hours?
Answer = Marie can bike 372 miles.

48. Tammy drove 55 miles in one
hour. At that rate, how far can she
drive in 36 hours?
Answer = Tammy can drive 1980 miles.

49. Jeff swims 20 laps every day. How
many laps will he swim in six
weeks?
Answer = Jimmy will swim 840 laps.

50. Mary Beth could jump 42 times
each minute. How many times
could she jump in two hours?
Answer = Mary Beth could jump 5,040 times.

51. Rob could run 7 miles in one hour.
At that rate, how far could Rob
run in one day?
Answer = Rob could run 168 miles.

52. It takes 4 apples to make 1 pie.
How many apples does it take to
make 504 pies?
Answer = It takes 2,016 apples.

53. Ma Frameworks
Topic : Operations
4.N.10 Select and use appropriate operations (addition, subtraction, multiplication,
and division) to solve problems, including those involving money.
Topic : Computation
4.N.12 Add and subtract (up to five-digit numbers) and multiply (up to three digits
by two digits) accurately and efficiently. (*Although this standard is appropriate for
this grade-span, the state assessment program at the 3-4 grade span will test
multiplication of only up to two digits by two digits at the present time.)

54. Ma Frameworks
Domain : Operations and Algebraic Thinking
Cluster : Use the four operations with whole numbers to solve problems.
CCSS.Math.Content.4.OA.A.2 Multiply or divide to solve word problems involving
multiplicative comparison, e.g., by using drawings and equations with a symbol for the
unknown number to represent the problem, distinguishing multiplicative comparison
from additive comparison. [Note: See Glossary, Table 2.] 4
CCSS.Math.Content.4.OA.A.3 Solve multistep word problems posed with whole
numbers and having whole-number answers using the four operations, including
problems in which remainders must be interpreted. Represent these problems using
equations with a letter standing for the unknown quantity. Assess the reasonableness
of answers using mental computation and estimation strategies including rounding.

55. References
• www.k5learning.com
• http://www.doe.mass.edu/frameworks/