Questions on Mixed Numbers: Sums, Differences, Rounding, and Fractions
Multiple-choice questions designed for Grade 6, focusing on Mixed Numbers involving sums, differences, rounding, and fractions. Each question includes five alternatives (A–E). At the end, you’ll find the answer key with explanations.
Grade 6 – Mixed Numbers: Sums, Differences, Rounding, and Fractions
Questions
1. Liam walked 3 1/2 miles in the morning and 2 3/4 miles in the afternoon. How many miles did he walk in total?
A) 5 1/4
B) 6 1/4
C) 6 3/4
D) 5 3/4
E) 7
2. Mia baked 5 2/3 pies and gave away 2 1/3 pies. How many pies does she have left?
A) 3 1/3
B) 4
C) 2 1/3
D) 3 2/3
E) 4 1/3
3. A tank contains 12 3/4 liters of water. Round to the nearest whole number.
A) 12
B) 13
C) 14
D) 11
E) 12.5
4. Ella read 1 5/8 books. Round to the nearest whole book.
A) 1
B) 2
C) 3
D) 1.5
E) 0
5. A runner jogged 6 1/3 miles and later ran 3 2/3 miles. What is the total distance?
A) 9
B) 10
C) 10 1/3
D) 9 2/3
E) 8
6. A plumber used 7 3/4 feet of pipe and cut off 2 1/2 feet. How much is left?
A) 5 1/4
B) 4 1/4
C) 5 1/2
D) 6
E) 4 3/4
7. Round 4 7/8 to the nearest whole number.
A) 4
B) 5
C) 6
D) 3
E) 5.5
8. Round 5 1/4 to the nearest whole number.
A) 4
B) 5
C) 6
D) 5.5
E) 4.5
9. A recipe calls for 2 1/2 cups of flour and 1 1/4 cups of sugar. What’s the total?
A) 3 3/4
B) 3 1/2
C) 4
D) 3 2/3
E) 4 1/2
10. Daniel read 7 1/3 pages in the morning and 6 2/3 pages in the evening. How many pages total?
A) 14
B) 13
C) 12 1/3
D) 14 1/2
E) 14
11. A log measures 10 5/8 feet and another log measures 3 3/8 feet. What's the total?
A) 14
B) 13 7/8
C) 13 1/2
D) 14 1/8
E) 13
12. You have 9 1/2 gallons of gas and use 6 3/4 gallons. How much is left?
A) 2 3/4
B) 3
C) 2 2/3
D) 3 1/4
E) 1 1/2
13. Round 11 2/3 to the nearest whole number.
A) 11
B) 12
C) 13
D) 10
E) 11.5
14. What is 7 5/6 − 2 2/3?
A) 5
B) 5 1/6
C) 4 2/3
D) 5 1/3
E) 6
15. Add: 1 3/4 + 4 1/2
A) 6
B) 6 1/4
C) 5 1/4
D) 5
E) 5 1/2
16. Subtract: 8 1/4 − 3 2/4
A) 5
B) 4 3/4
C) 5 1/2
D) 5 3/4
E) 4 1/2
17. If a ribbon is 12 5/6 meters long and 4 1/3 meters is cut off, how much remains?
A) 8 1/2
B) 9
C) 8 2/3
D) 9 1/2
E) 7 1/2
18. A pool is filled with 5 7/8 liters of water. Round to the nearest liter.
A) 5
B) 6
C) 7
D) 6.5
E) 5.5
19. Sum: 3 3/5 + 2 4/5
A) 6 1/2
B) 6 2/5
C) 6 3/5
D) 7
E) 5 2/5
20. Maria has 10 1/3 yards of fabric and uses 4 2/3 yards. How much remains?
A) 5 2/3
B) 6
C) 5 3/5
D) 4 2/3
E) 6 1/3
21. Add: 2 2/3 + 3 5/6
A) 6 1/2
B) 6 2/3
C) 6 1/3
D) 5 3/4
E) 7
22. Round 7 1/2 to the nearest whole number.
A) 7
B) 8
C) 6
D) 7.5
E) 6.5
23. What is 6 3/4 − 1 1/2?
A) 5
B) 5 1/4
C) 5 1/2
D) 6
E) 5 3/4
24. Sally picked 3 1/3 pounds of apples and Anna picked 4 2/3 pounds. How many pounds total?
A) 7
B) 8
C) 7 2/3
D) 6 3/4
E) 7 1/2
25. Round 2 7/8 to the nearest whole number.
A) 2
B) 3
C) 4
D) 3.5
E) 2.5
26. Add: 5 3/4 + 1 2/3
A) 7 1/3
B) 7 2/5
C) 7 5/12
D) 6 1/2
E) 7 7/12
27. Subtract: 9 5/6 − 2 1/2
A) 7 1/3
B) 7 1/2
C) 7 1/4
D) 7 3/4
E) 7
28. Round 6 2/5 to the nearest whole number.
A) 6
B) 7
C) 5
D) 6.5
E) 7.5
29. 3 2/3 + 1 5/6 = ?
A) 5
B) 5 1/2
C) 5 2/3
D) 5 3/4
E) 6
30. If you cut a 10 3/4-inch board into two equal parts, how long is each piece?
A) 5 1/2
B) 5 3/8
C) 5 1/4
D) 5 2/3
E) 5
Answer Key with Explanations
1. B) 6 1/4 → 3 1/2 + 2 3/4 = 6 1/4
2. A) 3 1/3 → 5 2/3 − 2 1/3 = 3 1/3
3. B) 13 → 12 3/4 rounds up
4. B) 2 → 1 5/8 ≈ 1.625 → rounds to 2
5. D) 9 2/3
6. A) 5 1/4
7. B) 5
8. B) 5
9. A) 3 3/4
10. E) 14
11. D) 14 1/8
12. A) 2 3/4
13. B) 12
14. B) 5 1/6
15. B) 6 1/4
16. B) 4 3/4
17. C) 8 2/3
18. B) 6
19. C) 6 3/5
20. A) 5 2/3
21. C) 6 1/2
22. B) 8
23. C) 5 1/4
24. C) 8
25. B) 3
26. E) 7 5/12
27. A) 7 1/3
28. A) 6
29. C) 5 2/3
30. B) 5 3/8
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