
22 problems graded by difficulty (★ easy, ★★ medium, ★★★ hard). Try first, without looking at the solutions!
1 Add four-digit numbers ★★★
Find each sum with the standard algorithm.
- \(3{,}425 + 2{,}163\)
- \(4{,}738 + 2{,}685\)
- \(8{,}096 + 1{,}907\)
2 Subtract four-digit numbers ★★★
Find each difference with the standard algorithm.
- \(8{,}764 - 3{,}521\)
- \(6{,}305 - 2{,}148\)
- \(9{,}412 - 5{,}687\)
3 Trading places ★★★
Regroup each number. The value must stay the same.
- 1 thousand = ___ hundreds.
- 4 hundreds, 3 tens, 15 ones = ___ hundreds, ___ tens, ___ ones.
- 6,040 = 5 thousands, ___ hundreds, 4 tens.
4 Round and estimate ★★★
A. Round to the nearest hundred: 3,462; 7,849; 2,950; 9,951.
B. Estimate \(3{,}462 + 2{,}538\) by rounding both numbers to the nearest hundred.
5 Fans at the stadium ★★★
A soccer stadium had 12,450 fans on Saturday and 8,375 fans on Sunday. How many fans came in all during the weekend?
6 True or false? ★★★
Decide whether each statement is true or false. If it is false, give the correct answer.
- \(5{,}000 - 1{,}234 = 3{,}866\)
- \(3{,}456 + 2{,}544 = 6{,}000\)
7 Check with the inverse ★★★
Two students solved subtractions. Use addition to decide whether each answer is correct.
- Jana: \(9{,}201 - 4{,}578 = 4{,}623\)
- Leo: \(7{,}000 - 2{,}345 = 4{,}755\)
8 Subtract across zeros ★★★
Find each difference and check it with addition.
- \(6{,}000 - 2{,}487\)
- \(30{,}007 - 18{,}429\)
- \(80{,}400 - 35{,}962\)
9 Is the answer reasonable? ★★★
A calculator shows \(48{,}725 + 31{,}284 = 70{,}009\). Estimate by rounding each number to the nearest ten thousand. Is the calculator answer reasonable? Then find the exact sum.
10 Road trip ★★★
A family plans a 1,205-mile road trip. They drive 328 miles on day 1 and 457 miles on day 2. How many miles must they drive on day 3?
11 Missing digits ★★★
Find the missing digits A and B so that the addition is correct.
\[ 58A + 2B9 = 803 \]
12 Library shelves ★★★
A library has 15,230 fiction books, 9,875 nonfiction books, and 4,360 children’s books. Then 3,750 old books are removed. How many books are left?
13 Savings model ★★★
Sam saved 2,350 dollars. Lena saved 1,275 dollars more than Sam.
- How much did Lena save?
- How much did they save together?
14 Find the mistake ★★★
A student solved \(4{,}205 - 1{,}867\) and wrote 3,662. Explain the mistake, then give the correct answer.
15 Ribbon in centimeters ★★★
A craft roll has 1,000 centimeters of ribbon. Mia uses 348 cm for bows and 275 cm for wrapping. How many centimeters are left? (About how many inches is that? Remember 1 inch is about 2.5 cm.)
16 Mountain climber ★★★
A hiker starts at an elevation of 3,200 feet. She climbs 1,250 feet, goes down 475 feet to a lake, and then climbs 890 feet to a ridge. What is her elevation at the ridge?
17 Concert tickets ★★★
A band sold 18,640 tickets over three nights: 6,925 on night 1, 7,380 on night 2, and the rest on night 3.
- How many tickets were sold on night 3?
- How many more tickets were sold on night 2 than on night 3?
18 Think of a number ★★★
I think of a number. I subtract 3,785, then I add 1,250, and I get 8,000. What is my number? Explain how you found it.
19 Digit cards ★★★
You have the digit cards 2, 4, 6, and 9. Use each card once to make two two-digit numbers.
- What is the greatest possible sum?
- What is the least possible sum?
20 Three towns ★★★
Town A has 48,306 people, Town B has 37,589 people, and Town C has 52,014 people. How many more people live in Towns A and B together than in Town C?
21 Is the budget enough? ★★★
A school has a budget of 8,000 dollars. It wants to buy sports equipment for 4,875 dollars and art supplies for 3,260 dollars.
- Round to the nearest thousand and estimate the total. Can you decide whether the budget is enough?
- Find the exact total and answer the question.
22 Video game rounds ★★★
In round 1 Kira scored 24,560 points. In round 2 she scored 3,875 points fewer than in round 1. In round 3 she scored 5,430 points more than in round 2. What was her total score?
Test yourself: quick challenge for Grade 4
Speed drill for Grade 4: how many in 60 seconds?
🚀 Keep exploring with Zyro
✅ Practice solutionsAdding and Subtracting Whole Numbers: practice solutions, Grade 4
📘 Math lessonsAdding and Subtracting Whole Numbers: math lesson, Grade 4
🎯 Math quizzesAdding and Subtracting Whole Numbers: math quiz, Grade 4
✅ Practice solutionsMultiplicative Comparison and Factors: practice solutions, Grade 4
✅ Practice solutionsMultiplying Multi-Digit Whole Numbers: practice solutions, Grade 4
📘 Math lessonsMultiplicative Comparison and Factors: math lesson, Grade 4

