4th Grade Math: Operations & Real-World Problems

4th Grade Math: Operations & Real-World Problems

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Section 1: Basic Calculation Problems

Total: 10 Points (1 point each)

Solve each problem below. Show your work.

1. $1,458+376=$1,458+376= ______
   Work:
2. $2,000-847=$2,000−847= ______
   Work:
3. $45\times 12=$45×12= ______
   Work:
4. $132÷6=$132÷6= ______
   Work:
5. $\frac{3}{5}+\frac{1}{10}=$53​+101​= ______
   Work:
6. $\frac{3}{4}-\frac{1}{8}=$43​−81​= ______
   Work:
7. $(650-128)+409=$(650−128)+409= ______
   Work:
8. $28\times 7=$28×7= ______
   Work:
9. $168÷4=$168÷4= ______
   Work:
10. $\frac{4}{6}+\frac{1}{12}=$64​+121​= ______
    Work:

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Section 2: Simple Word Problems

Total: 10 Points (2 points each)

Read the problems carefully. Each is based on a community news story about a school fundraiser. Write your answer in a complete sentence.

News Context: Our school is holding a “Fun Run” fundraiser. Students collect pledges for each lap they run around the field.

1. Mia ran 15 laps. For each lap, she earned $3. How much money did Mia earn in total?
   Equation:
   Answer: ____________________________________________________________
2. The fundraiser goal was to raise $1,200. So far, students have raised $875. How much more money is needed to reach the goal?
   Equation:
   Answer: ____________________________________________________________
3. A donor said they would give the school $5 for every student who ran more than 10 laps. If 28 students ran more than 10 laps, how much did the donor give?
   Equation:
   Answer: ____________________________________________________________
4. Volunteers set up 8 tables for the event. They put 6 water bottles on each table. How many water bottles did they set out altogether?
   Equation:
   Answer: ____________________________________________________________
5. The PTA bought 150 apples for runners. If there are 25 runners, how many apples can each runner get if they are shared equally?
   Equation:
   Answer: ____________________________________________________________

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Section 3: Slightly Challenging Word Problems

Total: 10 Points (2 points each)

These problems are also about the Fun Run. Think about the steps you need to solve them. You might need to find area or perimeter!

1. The running track is a rectangle. It is 60 meters long and 40 meters wide. What is the perimeter of the track?
   Formula: $P=2\times (length+width)$P=2×(length+width)
   Work:
   Answer: The perimeter is ______ meters.
2. The finish line area is a square with sides that are 5 meters long. What is the area of the finish line area?
   Formula: $A=side\times side$A=side×side
   Work:
   Answer: The area is ______ square meters.
3. Liam ran 4 laps. Each lap is 200 meters long. How many total meters did Liam run?
   Work:
   Answer: Liam ran ______ meters in total.
4. A case of sports drinks contains 12 bottles. The coaches bought 7 cases. After the run, they had 15 bottles left. How many bottles did the runners drink?
   Step 1:
   Step 2:
   Answer: The runners drank ______ bottles.
5. For the first hour, 9 students finished the run. In the second hour, 4 times as many students finished. How many students finished in those two hours combined?
   Step 1:
   Step 2:
   Answer: ______ students finished in the two hours combined.

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Great job working through all these problems! Remember to check your work before you finish.

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Answer Key

Section 1: Basic Calculation Problems

1. 1,834
2. 1,153
3. 540
4. 22
5. $\frac{7}{10}$107​ or 0.7
6. $\frac{5}{8}$85​ or 0.625
7. 931
8. 196
9. 42
10. $\frac{9}{12}$129​ or $\frac{3}{4}$43​ or 0.75

Section 2: Simple Word Problems

1. Mia earned $45 in total.
2. $325 more is needed to reach the goal.
3. The donor gave $140.
4. They set out 48 water bottles altogether.
5. Each runner can get 6 apples.

Section 3: Slightly Challenging Word Problems

1. The perimeter is 200 meters.
   $P=2\times (60+40)=2\times 100=200$P=2×(60+40)=2×100=200
2. The area is 25 square meters.
   $A=5\times 5=25$A=5×5=25
3. Liam ran 800 meters in total.
   $4\times 200=800$4×200=800
4. The runners drank 69 bottles.
   Step 1: Total bottles = $7\times 12=84$7×12=84
   Step 2: Bottles drunk = $84-15=69$84−15=69
5. 45 students finished in the two hours combined.
   Step 1: Second hour = $9\times 4=36$9×4=36
   Step 2: Total = $9+36=45$9+36=45