Cumulative Exam (Units 1–6) is Completed & Locked

Verified Grade: 19.5 / 24 (81.3% • Grade B • 30 min game time) • Total Time: 38m 50s • Completed October 19, 2026 at 6:02 PM.

Units 1-6 Cumulative Exam Results

Verified Grade: 19.5 / 24 (81.3%) Grade: B 30 min game time Time: 38m 50s Total (Pass 1: 24m 53s + Retake: 13m 57s)
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4th Grade Math Cumulative Exam — Units 1–6

Place Value, Addition, Subtraction, Multiplication, Division, Factors & Patterns. Test Date: Monday, October 19, 2026 • Limit: 60 Minutes.

Question 1

Value of a Digit

Score: 1 / 1 pt

In the number 73,486, what is the value of the digit 3?

Correct (1 / 1 pt)

Solution: A — 3,000. In 73,486, the digits are: 7 ten-thousands, 3 thousands, 4 hundreds, 8 tens, 6 ones. The digit 3 is in the thousands place, so its value is 3 × 1,000 = 3,000.
Question 2

Expanded Form — Missing Part

Score: 1 / 1 pt

What number goes in the blank to make the expanded form correct?

52,407 = 50,000 + + 400 + 7 Correct (1 / 1 pt)

Solution: 2,000. 52,407 − 50,000 − 400 − 7 = 2,000. The 2 is in the thousands place, so it contributes 2,000.
Question 3

Comparing Multi-Digit Numbers

Score: 1 / 1 pt

Which symbol correctly compares these two numbers?

47,892   ___   47,829

Correct (1 / 1 pt)

Solution: A — 47,892 > 47,829. Compare digit by digit from the left: ten-thousands (4=4), thousands (7=7), hundreds (8=8), tens (9 vs 2). Since 9 > 2 in the tens place, 47,892 is greater.
Question 4

Dividing by 10

Score: 1 / 1 pt

What is 8,000 ÷ 10?

Correct (1 / 1 pt)

Solution: C — 800. Dividing by 10 moves every digit one place to the right: 8,000 becomes 800. The zero in the ones place is dropped.
Question 5

Rounding to the Nearest Thousand

Score: 1 / 1 pt

Round 64,738 to the nearest thousand.

Correct (1 / 1 pt)

Solution: B — 65,000. The thousands digit is 4 (in 64,738). Look at the hundreds digit to decide: it is 7. Since 7 ≥ 5, round up: 64,000 becomes 65,000.
Question 6

Multi-Digit Addition

Score: 1 / 1 pt

Add. Show your regrouping if needed.

4,837 + 2,956 = Correct (1 / 1 pt)

Solution: 7,793. Ones: 7+6=13, write 3 carry 1. Tens: 1+3+5=9. Hundreds: 8+9=17, write 7 carry 1. Thousands: 1+4+2=7. Result: 7,793.
Question 7

Multi-Digit Subtraction

Score: 1 / 1 pt

Subtract. Regroup as needed.

8,042 − 3,675 = Correct (1 / 1 pt)

Solution: 4,367. Ones: 2 < 5 so regroup; 12 − 5 = 7. Tens: 3 < 7 (after lending 1 to ones, tens is 3), regroup again; 13 − 7 = 6 (but tens column of 8,042 is 4, after borrow it is 3; borrow again from hundreds making it 13 − 7 = 6). Hundreds: 0 becomes 9 after borrow, then 9 − 6 = 3 (then borrow makes it 9). Thousands: 8 − 1 (borrowed) − 3 = 4. Result: 4,367.
Question 8

Estimating a Sum

Score: 1 / 1 pt

Estimate the sum by rounding each number to the nearest thousand first, then adding.

4,173 + 2,846 ≈ ?

Correct (1 / 1 pt)

Solution: A — 7,000. Round 4,173 to 4,000 (hundreds digit is 1, round down). Round 2,846 to 3,000 (hundreds digit is 8, round up). Estimated sum: 4,000 + 3,000 = 7,000.
Question 9

Times as Many

Score: 1 / 1 pt

Sophie has 7 stickers. Mia has 4 times as many stickers as Sophie. How many stickers does Mia have?

Correct (1 / 1 pt)

Solution: B — 28. "4 times as many as 7" means 7 × 4 = 28. "Times as many" is a multiplication signal, not addition.
Question 10

Multiplying by a Multiple of 100

Score: 1 / 1 pt

Use place value to find the product:

6 × 400 = Correct (1 / 1 pt)

Solution: 2,400. Think of it as 6 × 4 × 100. First, 6 × 4 = 24. Then 24 × 100 = 2,400. Two zeros are attached because of the 100.
Question 11

Multiplying a 3-Digit Number by 1 Digit

Score: 1 / 1 pt

Find the product:

347 × 6 = Correct (1 / 1 pt)

Solution: 2,082. Break apart: 6 × 300 = 1,800 • 6 × 40 = 240 • 6 × 7 = 42. Then add: 1,800 + 240 + 42 = 2,082.
Question 12

Partial Products

Score: 1 / 1 pt

Break apart 4 × 263 using partial products. Two of the three parts are shown. What is the missing part?

4 × 200 = 800
4 × 60 =
4 × 3 = 12

Correct (1 / 1 pt)

Solution: 240. 4 × 60 = 240. Adding all three parts: 800 + 240 + 12 = 1,052, which equals 4 × 263.
Question 13

Area Model for 2-Digit Multiplication

Score: 1 / 1 pt

Use the area model below to find 24 × 32. What is the total product?

20 × 30 = 600 20 × 2 = 40
4 × 30 = 120 4 × 2 = 8

600 + 40 + 120 + 8 = ?

Correct (1 / 1 pt)

Solution: C — 768. Add all four area model parts: 600 + 40 = 640; 640 + 120 = 760; 760 + 8 = 768. So 24 × 32 = 768.
Question 14

Estimating a Product

Score: 1 / 1 pt

Estimate the product by rounding each number to the nearest ten, then multiplying.

38 × 52 ≈ Correct (1 / 1 pt)

Solution: 2,000. Round 38 to 40 (8 ≥ 5, round up). Round 52 to 50 (2 < 5, round down). Estimated product: 40 × 50 = 2,000.
Question 15

Multiplying Two 2-Digit Numbers

Score: 0.5 / 1 pt (Retake)

Find the exact product:

47 × 26 = Corrected on Retake (+0.5 pt)

Attempt History: First Take: 1006 • Retake: 1222

Solution: 1,222. Break apart: 47 × 20 = 940 and 47 × 6 = 282. Then 940 + 282 = 1,222.
Concept & Review Note • 2-Digit Multiplication

Break-Apart Strategy: Break 26 into 20 + 6. First compute 47 × 20 = 940. Then compute 47 × 6 = 282. Finally, add the partial products: 940 + 282 = 1,222. Jing corrected this on the retake for +0.5 pt.

Question 16

Identifying Correct Partial Products

Score: 1 / 1 pt

Which set of partial products is correct for 23 × 45?

Correct (1 / 1 pt)

Solution: A. 23 × 45 = 1,035. Break 23 into 20 + 3 and 45 into 40 + 5: 20×40=800, 20×5=100, 3×40=120, 3×5=15. Sum: 800+100+120+15=1,035. Choice B has 20×5=10 (should be 100). Choice C has 3×40=12 (should be 120). Choice D forgot the place values entirely.
Question 17

Finding a Remainder

Score: 0.5 / 1 pt (Retake)

What is the remainder when 47 is divided by 6?

Corrected on Retake (+0.5 pt)

Attempt History: First Take selected B (7) • Retake corrected to A (5)

Solution: A — 5. The largest multiple of 6 that fits into 47 is 6 × 7 = 42. Then 47 − 42 = 5. So 47 = 6 × 7 remainder 5.
Concept & Review Note • Remainder vs. Quotient

Identifying the Question: 47 ÷ 6 = 7 with remainder 5. The quotient is 7, but the question specifically asks: "What is the remainder?" The remainder is 5. Jing selected 7 on first take, but correctly identified the remainder 5 on retake (+0.5 pt).

Question 18

Dividing a Multiple of 100

Score: 1 / 1 pt

Use place value to divide:

6,300 ÷ 7 = Correct (1 / 1 pt)

Solution: 900. Think: 63 ÷ 7 = 9. Then 6,300 = 63 × 100, so the answer is 9 × 100 = 900. Check: 7 × 900 = 6,300. ✓
Question 19

Dividing a 3-Digit Number

Score: 0.5 / 1 pt (Retake)

Find the quotient:

264 ÷ 8 = Corrected on Retake (+0.5 pt)

Attempt History: First Take: 38 • Retake: 33

Solution: 33. Using partial quotients: 8 × 30 = 240; 264 − 240 = 24; 8 × 3 = 24; 24 − 24 = 0. Total: 30 + 3 = 33. Check: 8 × 33 = 264. ✓
Concept & Review Note • 3-Digit Division

Partial Quotients: 264 ÷ 8. Take 30 groups of 8: 8 × 30 = 240. Subtract: 264 − 240 = 24. Take 3 groups of 8: 8 × 3 = 24. Total quotient: 30 + 3 = 33. Jing corrected 38 → 33 on retake (+0.5 pt).

Question 20

Multi-Step Word Problem with Division

Score: 0.5 / 1 pt (Retake)

A baker made 156 muffins. He puts 6 muffins in each box. He already sold 18 boxes. How many muffins does he have left?

Corrected on Retake (+0.5 pt)

Attempt History: First Take selected B (42) • Retake corrected to A (48)

Solution: A — 48. Step 1: find total boxes → 156 ÷ 6 = 26 boxes. Step 2: find boxes left → 26 − 18 = 8 boxes. Step 3: find muffins left → 8 × 6 = 48 muffins.
Concept & Review Note • Multi-Step Word Problem

Track Every Step: Total boxes made = 156 ÷ 6 = 26 boxes. Boxes remaining = 26 − 18 = 8 boxes. Muffins remaining = 8 boxes × 6 muffins = 48 muffins. Jing corrected this on retake (+0.5 pt).

Question 21

All Factor Pairs

Score: 0.5 / 1 pt (Retake)

Which list shows all the factor pairs of 36?

Corrected on Retake (+0.5 pt)

Attempt History: First Take selected D (missed 1, 36) • Retake corrected to A

Solution: A. Check every whole number from 1 up: 1×36=36 ✓, 2×18=36 ✓, 3×12=36 ✓, 4×9=36 ✓, 5 does not divide 36 evenly, 6×6=36 ✓. After 6, the pairs repeat in reverse. All five pairs must be included; choice B misses (6,6), choice C misses (4,9), choice D misses (1,36).
Concept & Review Note • All Factor Pairs

Always Start with 1: Every whole number has 1 and itself as its first factor pair: 1 × 36 = 36. Choice D omitted (1, 36). Jing selected D on first take, but chose complete set A on retake (+0.5 pt).

Question 22

Prime vs. Composite

Score: 0.5 / 1 pt (Retake)

Which number is prime?

Corrected on Retake (+0.5 pt)

Attempt History: First Take selected A (27) • Retake corrected to C (41)

Solution: C — 41 is prime. A prime number has exactly two factors: 1 and itself. Check the others: 27 = 3 × 9 (composite), 33 = 3 × 11 (composite), 51 = 3 × 17 (composite). For 41: not divisible by 2, 3, 5, or 7 (7×7=49 > 41), so 41 is prime.
Concept & Review Note • Prime vs. Composite

Odd Numbers Can Be Composite: Not all odd numbers are prime. 27 has factors 1, 3, 9, 27 (3 × 9 = 27), so 27 is composite. 41 has only 1 and 41, making it prime. Jing corrected 27 → 41 on retake (+0.5 pt).

Question 23

Finding a Multiple

Score: 0.5 / 1 pt (Retake)

What is the 7th multiple of 8?

(The 1st multiple of 8 is 8, the 2nd is 16, and so on.)

Answer: Corrected on Retake (+0.5 pt)

Attempt History: First Take: e (blank) • Retake: 56

Solution: 56. List the multiples of 8: 8, 16, 24, 32, 40, 48, 56. The 7th multiple is 7 × 8 = 56.
Concept & Review Note • Finding Multiples

Definition of Multiple: The nth multiple of a number is found by multiplying that number by n. The 7th multiple of 8 is 7 × 8 = 56. Jing typed 'e' accidentally on first take, and corrected to 56 on retake (+0.5 pt).

Question 24

Number Pattern

Score: 0 / 1 pt

What is the next number in this pattern?

3,   6,   12,   24,   ___

Incorrect (0 / 1 pt)

Attempt History: First Take: C (27) • Retake: D (30)

Solution: B — 48. The rule is "multiply by 2" each time: 3 × 2 = 6, 6 × 2 = 12, 12 × 2 = 24, 24 × 2 = 48. This is a doubling pattern.
Concept & Review Note • Number Patterns (Geometric Growth)

Identify the Operation: Look at 3, 6, 12, 24. Notice 3 × 2 = 6, 6 × 2 = 12, 12 × 2 = 24. Each term doubles (multiplies by 2). Jing tested adding (+6) on retake getting 30, but the pattern is multiplying by 2: 24 × 2 = 48 (Choice B). Zero credit (0 / 1 pt).