Questions on Box-and-Whisker Plots (Box Plots)

June 06, 2025 Fractions

Questions on Box-and-Whisker Plots (Box Plots)

Multiple choice questions for Grade 6, focusing on Box-and-Whisker Plots (Box Plots). Each question is based on hypothetical real-life data. Students will interpret plots, identify components (minimum, Q1, median, Q3, maximum), and apply reasoning.

Box-and-Whisker Plots — Grade 6

20 Real-World Based Multiple Choice Questions (5 options each)

Answer key with explanations at the end

Questions

1. The minimum value in a box plot is 10, and the maximum is 50. What is the range?

A) 60

B) 50

C) 10

D) 40

E) 30

2. If Q1 = 20 and Q3 = 40, what is the interquartile range (IQR)?

A) 60

B) 20

C) 10

D) 30

E) 15

3. In a box plot of test scores:

Min = 55, Q1 = 60, Median = 70, Q3 = 85, Max = 100

What percent of students scored between 60 and 85?

A) 100%

B) 50%

C) 25%

D) 75%

E) 0%

4. Which value represents the middle of the data in a box plot?

A) Maximum

B) Minimum

C) Mean

D) Median

E) Range

5. What does the length of the box in a box plot represent?

A) Mean

B) IQR

C) Total range

D) Frequency

E) Median

6. A group of students timed how long it took them to run a mile:

Box Plot: Min = 6, Q1 = 7, Median = 8, Q3 = 9, Max = 10

Which student is an outlier if one student ran in 12 minutes?

A) 6

B) 7

C) 8

D) 9

E) 12

7. In a box plot, if Q1 = Q3, what can you say about the data?

A) All values are the same

B) Data is widely spread

C) Data is clustered in the middle

D) There is no range

E) Data is all even numbers

8. A box plot shows the time (in minutes) spent on homework:

Min = 15, Q1 = 20, Median = 25, Q3 = 30, Max = 35

How much time did the middle 50% of students spend on homework?

A) 15–35 min

B) 20–30 min

C) 25–30 min

D) 15–25 min

E) 10–20 min

9. Which part of a box-and-whisker plot helps identify the skew of data?

A) Whiskers only

B) Median line position

C) Maximum value

D) Total range

E) Quartiles only

10. A box plot shows:

Min = 40, Q1 = 50, Median = 55, Q3 = 60, Max = 100

What can you infer about the upper whisker?

A) Data is symmetric

B) Most data is above 60

C) There may be outliers on the high end

D) Data is very close together

E) The median is incorrect

11. If a box plot has Q1 = 60 and Q3 = 90, what is the IQR?

A) 30

B) 60

C) 90

D) 15

E) 45

12. What does a short box and long whiskers suggest?

A) Data is tightly grouped in the middle

B) The median is the highest number

C) All data is equal

D) Data has no spread

E) There is no variability

13. In a class test, the box plot shows:

Min = 50, Q1 = 55, Median = 65, Q3 = 85, Max = 100

What percent of students scored between 65 and 100?

A) 50%

B) 25%

C) 75%

D) 100%

E) 10%

14. What value splits the data into two equal halves in a box plot?

A) Q1

B) Q3

C) Median

D) Mean

E) Max

15. Why are box plots useful?

A) They show frequency

B) They show exact values

C) They show averages

D) They summarize data distribution

E) They create line graphs

16. A box plot has:

Q1 = 30, Q3 = 70. Which value lies outside the interquartile range?

A) 45

B) 60

C) 29

D) 50

E) 55

17. Which of the following values is not shown in a box plot?

A) Median

B) Q1

C) Q3

D) Mean

E) Maximum

18. The longer whisker in a box plot is on the left. What does this suggest?

A) Symmetrical data

B) Skewed left

C) Skewed right

D) Outliers on the right

E) Data is random

19. What is the best way to describe an outlier in a box plot?

A) Between Q1 and Q3

B) Equal to the median

C) Far beyond the whiskers

D) Close to the max

E) The minimum value

20. In a box plot with Min = 10, Q1 = 15, Median = 20, Q3 = 25, Max = 30, which statement is true?

A) The range is 20

B) The IQR is 15

C) The IQR is 10

D) The median is 25

E) The median is 30

$Questions on Box-and-Whisker Plots (Box Plots)$

Answer Key & Explanations

Q#	Ans	Explanation
1	D	50 - 10 = 40
2	B	40 - 20 = 20
3	B	50% of data lies between Q1 and Q3
4	D	Median is the center value
5	B	Box = Interquartile Range
6	E	12 is beyond the max (10), possible outlier
7	C	Q1 = Q3 means tight middle data
8	B	Q1–Q3 is 20–30 min
9	B	Median line helps show skew
10	C	Max far from Q3 suggests outliers
11	A	90 - 60 = 30
12	A	Small box = clustered data
13	A	65–100 = upper 50%
14	C	Median = middle of data
15	D	Box plots summarize spread & center
16	C	29 < Q1 = outside IQR
17	D	Mean not shown in box plot
18	B	Longer left whisker = skewed left
19	C	Outliers fall outside whiskers
20	C	25 - 15 = IQR = 10

Questions on Quartiles

June 06, 2025 Fractions

Questions on Quartiles

Multiple choice questions for Grade 6, focused on understanding and applying quartiles in real-world, data-based problems. Each question has five options (A–E). At the end, you'll find an answer key with clear explanations.

Grade 6 – Quartiles

20 Multiple Choice Questions with Realistic Contexts

Questions

1. The test scores of 9 students are:

72, 85, 91, 88, 95, 77, 80, 90, 86

What is the median (Q2)?

A) 80

B) 85

C) 86

D) 88

E) 90

2. The number of pages read by 11 students last week were:

30, 45, 20, 25, 60, 55, 40, 50, 35, 65, 70

What is the lower quartile (Q1)?

A) 30

B) 35

C) 40

D) 25

E) 45

3. In a race, the runners’ times (in minutes) were:

18, 21, 25, 20, 19, 22, 24

What is the upper quartile (Q3)?

A) 22

B) 24

C) 25

D) 23

E) 21

4. Daily temperatures (°F) for 9 days were:

60, 62, 65, 68, 66, 70, 64, 67, 63

What is the median (Q2)?

A) 65

B) 66

C) 67

D) 68

E) 64

5. The number of goals scored in 7 soccer games:

2, 3, 1, 4, 5, 2, 3

What is the lower quartile (Q1)?

A) 1

B) 2

C) 3

D) 2.5

E) 1.5

6. A bakery sold the following numbers of cupcakes in 10 days:

23, 30, 25, 35, 28, 40, 31, 34, 27, 32

What is Q3?

A) 34

B) 32

C) 31

D) 35

E) 30

7. A student recorded the number of minutes spent on homework for 9 days:

45, 50, 35, 40, 55, 60, 30, 50, 45

What is Q1?

A) 35

B) 40

C) 45

D) 50

E) 30

8. Scores on a quiz out of 10:

6, 7, 9, 5, 8, 7, 10

What is Q3?

A) 8

B) 9

C) 10

D) 7

E) 7.5

9. A group of students measured the heights of their plants in cm:

12, 15, 14, 18, 17, 13, 19, 16, 20

What is the median (Q2)?

A) 16

B) 15

C) 17

D) 18

E) 14

10. Books read by students in a month:

3, 4, 2, 5, 6, 1, 4

What is Q1?

A) 1

B) 2

C) 3

D) 4

E) 2.5

11. Scores on a spelling test out of 20:

14, 15, 16, 18, 17, 20, 19, 13, 12

What is Q3?

A) 17

B) 18

C) 19

D) 20

E) 16

12. The number of apples collected by students:

10, 12, 9, 15, 14, 13, 11

What is Q1?

A) 10

B) 11

C) 12

D) 9

E) 10.5

13. Travel times (in minutes):

22, 25, 27, 30, 24, 29, 26

What is the median (Q2)?

A) 26

B) 27

C) 25

D) 24

E) 28

14. The weights (in kg) of dogs at a shelter:

8, 10, 12, 15, 14, 11, 13

What is Q3?

A) 13

B) 14

C) 15

D) 12

E) 11.5

15. Weekly allowance amounts in dollars:

5, 10, 15, 20, 25, 30, 35

What is Q1?

A) 10

B) 12.5

C) 15

D) 17.5

E) 20

16. Class quiz scores out of 10:

7, 5, 9, 6, 10, 4, 8

What is Q2?

A) 6

B) 7

C) 8

D) 7.5

E) 9

17. Hours of screen time in a week:

8, 12, 10, 14, 15, 9, 13

What is Q3?

A) 13

B) 14

C) 15

D) 12

E) 10

18. Steps walked in thousands:

4, 5, 6, 8, 7, 5, 9

What is Q1?

A) 5

B) 4

C) 6

D) 7

E) 5.5

19. Minutes spent on exercise each day:

25, 30, 20, 15, 35, 40, 45

What is Q3?

A) 35

B) 40

C) 45

D) 30

E) 25

20. Water consumed daily in cups:

6, 8, 5, 7, 10, 9, 11

What is Q2 (median)?

A) 8

B) 7

C) 9

D) 10

E) 6

$Questions on Quartiles$

Answer Key & Explanations

Q#	Answer	Explanation
1	B) 85	Ordered: 72, 77, 80, 85, 86, 88, 90, 91, 95 → Median = 85
2	B) 35	Ordered: 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70 → Q1 = median of first 5 = 35
3	B) 24	Ordered: 18, 19, 20, 21, 22, 24, 25 → Q3 = median of upper half = 24
4	B) 66	Ordered: 60, 62, 63, 64, 65, 66, 67, 68, 70 → Median = 66
5	B) 2	Ordered: 1, 2, 2, 3, 3, 4, 5 → Q1 = median of 1, 2, 2 = 2
6	A) 34	Ordered: 23, 25, 27, 28, 30, 31, 32, 34, 35, 40 → Q3 = median of last 5 = 34
7	B) 40	Ordered: 30, 35, 40, 45, 45, 50, 50, 55, 60 → Q1 = median of first 4 = 40
8	B) 9	Ordered: 5, 6, 7, 7, 8, 9, 10 → Q3 = median of last 3 = 9
9	A) 16	Ordered: 12, 13, 14, 15, 16, 17, 18, 19, 20 → Median = 16
10	C) 3	Ordered: 1, 2, 3, 4, 4, 5, 6 → Q1 = median of first 3 = 3
11	C) 19	Ordered: 12, 13, 14, 15, 16, 17, 18, 19, 20 → Q3 = 19
12	A) 10	Ordered: 9, 10, 11, 12, 13, 14, 15 → Q1 = median of 9, 10, 11 = 10
13	A) 26	Ordered: 22, 24, 25, 26, 27, 29, 30 → Median = 26
14	B) 14	Ordered: 8, 10, 11, 12, 13, 14, 15 → Q3 = median of last 3 = 14
15	A) 10	Ordered: 5, 10, 15, 20, 25, 30, 35 → Q1 = 10
16	B) 7	Ordered: 4, 5, 6, 7, 8, 9, 10 → Median = 7
17	B) 14	Ordered: 8, 9, 10, 12, 13, 14, 15 → Q3 = 14
18	A) 5	Ordered: 4, 5, 5, 6, 7, 8, 9 → Q1 = 5
19	B) 40	Ordered: 15, 20, 25, 30, 35, 40, 45 → Q3 = 40
20	A) 8	Ordered: 5, 6, 7, 8, 9, 10, 11 → Median = 8

Questions on Elapsed Time

June 06, 2025 Fractions

Questions on Elapsed Time

20 multiple choice questions for Grade 6, focusing on Elapsed Time, using real-life style word problems with five answer options each. At the end, you'll find the answer key with explanations.

Grade 6 – Elapsed Time

20 Multiple Choice Questions with Real-World Scenarios

Each question has 5 choices (A–E).

Questions

1. Lena started watching a documentary at 2:10 PM. It ended at 3:35 PM. How long was the documentary?

A) 1 hr 15 min

B) 1 hr 20 min

C) 1 hr 25 min

D) 1 hr 30 min

E) 1 hr 35 min

2. Jay started doing laundry at 9:50 AM. He finished at 11:15 AM. How long did it take?

A) 1 hr 15 min

B) 1 hr 25 min

C) 1 hr 30 min

D) 1 hr 20 min

E) 1 hr 10 min

3. A concert started at 6:45 PM and ended at 9:10 PM. What was the duration of the concert?

A) 2 hr 15 min

B) 2 hr 20 min

C) 2 hr 25 min

D) 2 hr 30 min

E) 2 hr 35 min

4. A hiking trip began at 7:25 AM and ended at 11:10 AM. How long was the hike?

A) 3 hr 45 min

B) 3 hr 35 min

C) 3 hr 30 min

D) 3 hr 40 min

E) 3 hr 50 min

5. Samantha studied from 4:00 PM to 5:55 PM. How much time did she spend studying?

A) 1 hr 45 min

B) 1 hr 50 min

C) 1 hr 55 min

D) 2 hr

E) 2 hr 5 min

6. A cooking class started at 2:30 PM and lasted until 4:10 PM. How long was the class?

A) 1 hr 30 min

B) 1 hr 40 min

C) 1 hr 45 min

D) 1 hr 35 min

E) 1 hr 25 min

7. A soccer game started at 10:15 AM and ended at 12:50 PM. What was the total game time?

A) 2 hr 35 min

B) 2 hr 30 min

C) 2 hr 40 min

D) 2 hr 45 min

E) 2 hr 25 min

8. If a meeting started at 1:20 PM and ended at 3:00 PM, how long did it last?

A) 1 hr 30 min

B) 1 hr 35 min

C) 1 hr 40 min

D) 1 hr 45 min

E) 1 hr 50 min

9. The train left the station at 11:05 AM and arrived at 1:30 PM. What was the duration of the trip?

A) 2 hr 15 min

B) 2 hr 20 min

C) 2 hr 25 min

D) 2 hr 30 min

E) 2 hr 35 min

10. The school play started at 6:10 PM and ended at 8:15 PM. How long was the play?

A) 2 hr 5 min

B) 2 hr 10 min

C) 2 hr 15 min

D) 2 hr 20 min

E) 2 hr 25 min

11. Natalie’s piano practice began at 3:40 PM and lasted until 5:00 PM. How long did she practice?

A) 1 hr 10 min

B) 1 hr 15 min

C) 1 hr 20 min

D) 1 hr 25 min

E) 1 hr 30 min

12. A movie started at 7:45 PM and ended at 10:10 PM. What is the duration of the movie?

A) 2 hr 20 min

B) 2 hr 25 min

C) 2 hr 30 min

D) 2 hr 35 min

E) 2 hr 15 min

13. A science experiment began at 10:30 AM and ended at 11:55 AM. How long did it take?

A) 1 hr 20 min

B) 1 hr 25 min

C) 1 hr 30 min

D) 1 hr 15 min

E) 1 hr 10 min

14. A dentist appointment began at 8:05 AM and ended at 9:40 AM. What was the total time?

A) 1 hr 35 min

B) 1 hr 40 min

C) 1 hr 30 min

D) 1 hr 45 min

E) 1 hr 25 min

15. A bike ride started at 2:50 PM and ended at 4:30 PM. How long was the ride?

A) 1 hr 40 min

B) 1 hr 35 min

C) 1 hr 30 min

D) 1 hr 45 min

E) 1 hr 25 min

16. A workshop began at 1:15 PM and lasted until 3:45 PM. How long did it last?

A) 2 hr 15 min

B) 2 hr 20 min

C) 2 hr 25 min

D) 2 hr 30 min

E) 2 hr 35 min

17. Lisa’s bus ride started at 6:55 AM and ended at 8:20 AM. How long was the ride?

A) 1 hr 20 min

B) 1 hr 25 min

C) 1 hr 30 min

D) 1 hr 35 min

E) 1 hr 15 min

18. A train left at 7:30 PM and arrived at 9:50 PM. How long was the journey?

A) 2 hr 10 min

B) 2 hr 20 min

C) 2 hr 15 min

D) 2 hr 25 min

E) 2 hr 30 min

19. A student started reading at 5:10 PM and finished at 6:55 PM. How long did they read?

A) 1 hr 45 min

B) 1 hr 50 min

C) 1 hr 40 min

D) 1 hr 55 min

E) 2 hr

20. The race started at 8:20 AM and ended at 9:45 AM. What was the elapsed time?

A) 1 hr 10 min

B) 1 hr 15 min

C) 1 hr 20 min

D) 1 hr 25 min

E) 1 hr 30 min

$Questions on Elapsed Time$

Answer Key with Explanations

Q#	Answer	Explanation
1	A) 1 hr 25 min	3:35 − 2:10 = 1 hr 25 min
2	B) 1 hr 25 min	11:15 − 9:50 = 1 hr 25 min
3	C) 2 hr 25 min	9:10 − 6:45 = 2 hr 25 min
4	A) 3 hr 45 min	11:10 − 7:25 = 3 hr 45 min
5	A) 1 hr 55 min	5:55 − 4:00 = 1 hr 55 min
6	B) 1 hr 40 min	4:10 − 2:30 = 1 hr 40 min
7	A) 2 hr 35 min	12:50 − 10:15 = 2 hr 35 min
8	A) 1 hr 40 min	3:00 − 1:20 = 1 hr 40 min
9	B) 2 hr 25 min	1:30 − 11:05 = 2 hr 25 min
10	C) 2 hr 5 min	8:15 − 6:10 = 2 hr 5 min
11	A) 1 hr 20 min	5:00 − 3:40 = 1 hr 20 min
12	B) 2 hr 25 min	10:10 − 7:45 = 2 hr 25 min
13	D) 1 hr 25 min	11:55 − 10:30 = 1 hr 25 min
14	A) 1 hr 35 min	9:40 − 8:05 = 1 hr 35 min
15	A) 1 hr 40 min	4:30 − 2:50 = 1 hr 40 min
16	D) 2 hr 30 min	3:45 − 1:15 = 2 hr 30 min
17	B) 1 hr 25 min	8:20 − 6:55 = 1 hr 25 min
18	B) 2 hr 20 min	9:50 − 7:30 = 2 hr 20 min
19	A) 1 hr 45 min	6:55 − 5:10 = 1 hr 45 min
20	C) 1 hr 25 min	9:45 − 8:20 = 1 hr 25 min

Questions on Addition and Subtraction with Time

June 06, 2025 Fractions

Questions on Addition and Subtraction with Time

Multiple-choice questions for Grade 6, focused on Addition and Subtraction with Time, using hypothetical real-life situations. Each question includes five alternatives (A–E), and at the end, you’ll find an answer key with clear explanations.

Grade 6 – Time Addition and Subtraction

20 Multiple-Choice Questions

Real-Life Scenarios • 5 Options Each

🔢 Questions

1. A movie started at 3:15 PM and lasted 2 hours and 25 minutes. What time did it end?

A) 5:30 PM

B) 5:40 PM

C) 5:50 PM

D) 6:00 PM

E) 6:15 PM

2. Emma began her homework at 6:45 PM and finished at 8:10 PM. How long did she work?

A) 1 hour 15 minutes

B) 1 hour 20 minutes

C) 1 hour 25 minutes

D) 1 hour 30 minutes

E) 1 hour 35 minutes

3. A bus trip started at 9:20 AM and ended at 12:05 PM. How long was the trip?

A) 2 hrs 35 min

B) 2 hrs 45 min

C) 2 hrs 50 min

D) 3 hrs 15 min

E) 3 hrs 25 min

4. Liam studied from 4:00 PM to 5:35 PM. How much time did he study?

A) 1 hr 30 min

B) 1 hr 35 min

C) 1 hr 25 min

D) 1 hr 45 min

E) 1 hr 15 min

5. A movie ended at 9:30 PM and lasted 2 hours and 10 minutes. What time did it start?

A) 7:00 PM

B) 7:10 PM

C) 7:20 PM

D) 7:30 PM

E) 7:40 PM

6. A train left the station at 1:45 PM and arrived at 5:10 PM. How long was the trip?

A) 3 hrs 15 min

B) 3 hrs 20 min

C) 3 hrs 25 min

D) 3 hrs 30 min

E) 3 hrs 35 min

7. If school starts at 8:25 AM and ends at 3:10 PM, how long is the school day?

A) 6 hrs 35 min

B) 6 hrs 40 min

C) 6 hrs 45 min

D) 6 hrs 50 min

E) 6 hrs 55 min

8. A basketball game began at 6:10 PM and ended at 8:55 PM. How long did it last?

A) 2 hrs 30 min

B) 2 hrs 35 min

C) 2 hrs 40 min

D) 2 hrs 45 min

E) 2 hrs 50 min

9. Sarah started baking at 2:25 PM and finished at 4:00 PM. How long did she bake?

A) 1 hr 35 min

B) 1 hr 45 min

C) 1 hr 30 min

D) 1 hr 20 min

E) 1 hr 40 min

10. Dinner took 1 hour and 50 minutes to prepare. If it was ready at 7:15 PM, what time did preparation start?

A) 5:15 PM

B) 5:25 PM

C) 5:35 PM

D) 5:45 PM

E) 5:55 PM

11. A soccer match began at 11:10 AM and lasted 1 hour and 45 minutes. What time did it end?

A) 12:45 PM

B) 12:50 PM

C) 12:55 PM

D) 1:00 PM

E) 1:05 PM

12. Maya read from 9:15 AM to 10:50 AM. How long did she read?

A) 1 hr 25 min

B) 1 hr 30 min

C) 1 hr 35 min

D) 1 hr 40 min

E) 1 hr 45 min

13. A TV show started at 8:10 PM and ended at 9:00 PM. How long was the show?

A) 45 min

B) 50 min

C) 55 min

D) 1 hr

E) 1 hr 5 min

14. John’s guitar lesson started at 4:40 PM and lasted 50 minutes. What time did it end?

A) 5:20 PM

B) 5:25 PM

C) 5:30 PM

D) 5:35 PM

E) 5:40 PM

15. Amy started her piano practice at 6:05 PM and ended at 7:30 PM. How long did she practice?

A) 1 hr 15 min

B) 1 hr 20 min

C) 1 hr 25 min

D) 1 hr 30 min

E) 1 hr 35 min

16. A flight took off at 3:50 PM and landed at 6:25 PM. How long was the flight?

A) 2 hrs 25 min

B) 2 hrs 30 min

C) 2 hrs 35 min

D) 2 hrs 40 min

E) 2 hrs 45 min

17. The library opens at 10:00 AM and closes at 6:45 PM. How long is it open each day?

A) 8 hrs 30 min

B) 8 hrs 45 min

C) 9 hrs

D) 9 hrs 15 min

E) 9 hrs 30 min

18. An online class lasted 2 hours and 40 minutes. If it ended at 4:25 PM, when did it begin?

A) 1:45 PM

B) 1:50 PM

C) 1:55 PM

D) 2:00 PM

E) 2:05 PM

19. Sophia spent 3 hours and 15 minutes on a project. If she started at 1:30 PM, when did she finish?

A) 4:30 PM

B) 4:35 PM

C) 4:40 PM

D) 4:45 PM

E) 4:50 PM

20. A workout began at 7:05 AM and ended at 8:25 AM. How long was the workout?

A) 1 hr 10 min

B) 1 hr 15 min

C) 1 hr 20 min

D) 1 hr 25 min

E) 1 hr 30 min

$Questions on Addition and Subtraction with Time$

Answer Key with Explanations

1. C) 5:40 PM → 3:15 + 2 hrs = 5:15 → +25 min = 5:40 PM

2. C) 1 hr 25 min → From 6:45 to 8:10 = 1 hr 25 min

3. A) 2 hrs 45 min → 9:20 → 12:05 = 2 hrs 45 min

4. B) 1 hr 35 min → 4:00 to 5:35 = 1 hr 35 min

5. C) 7:20 PM → 9:30 − 2 hrs = 7:30 − 10 min = 7:20 PM

6. A) 3 hrs 25 min

7. B) 6 hrs 45 min

8. C) 2 hrs 45 min

9. A) 1 hr 35 min

10. C) 5:25 PM → 7:15 − 1 hr = 6:15 − 50 min = 5:25 PM

11. E) 1:05 PM

12. A) 1 hr 35 min

13. B) 50 min

14. D) 5:30 PM

15. C) 1 hr 25 min

16. A) 2 hrs 35 min

17. B) 8 hrs 45 min

18. A) 1:45 PM

19. E) 4:45 PM

20. C) 1 hr 20 min

Questions on Fractions with Different Denominators

June 06, 2025 Fractions

Questions on Fractions with Different Denominators

Multiple-choice questions for Grade 6, focused on Fractions with Different Denominators (addition, subtraction, and expressions), using real-life situations, with five alternatives per question (A–E). At the end, you'll find a full answer key with explanations.

Grade 6: Fractions with Different Denominators

Focus: Sums, Differences, and Expressions

Format: Multiple Choice (5 Options)

Questions

1. Sofia walked 2/3 mile in the morning and 1/6 mile in the evening. How far did she walk in total?

A) 1/2

B) 3/6

C) 3/4

D) 5/6

E) 4/5

2. A cake recipe uses 3/4 cup of sugar and 2/3 cup of flour. What is the total amount used?

A) 1 5/12

B) 1 1/4

C) 1 1/2

D) 1

E) 1 3/4

3. David ate 5/6 of a pizza. His friend ate 1/4. How much did they eat together?

A) 1

B) 1 1/12

C) 1 3/4

D) 1 1/6

E) 2

4. Anna spent 2/5 of her money on books and 1/3 on clothes. What fraction of her money did she spend?

A) 3/8

B) 7/15

C) 11/15

D) 5/8

E) 1

5. If Mark drank 7/8 of a liter of water and Sarah drank 1/3, how much did they drink together?

A) 1

B) 41/24

C) 35/24

D) 31/24

E) 33/24

6. Lucy has 5/6 of a yard of ribbon. She cuts off 1/2 yard. How much ribbon is left?

A) 1/3

B) 1/6

C) 1/2

D) 2/3

E) 3/4

7. A container has 3/4 of a gallon of milk. 2/5 of a gallon is used. How much is left?

A) 1/4

B) 7/20

C) 1/2

D) 11/20

E) 3/5

8. Add: 2/3 + 3/5

A) 1 1/15

B) 1 4/15

C) 1 5/15

D) 1 2/5

E) 1 1/3

9. Subtract: 5/6 − 1/3

A) 1/2

B) 2/3

C) 3/6

D) 5/9

E) 1/3

10. Add: 1/4 + 1/6

A) 5/12

B) 3/10

C) 1/2

D) 7/12

E) 2/5

11. Emma used 3/8 of a can of paint and later used 1/3 more. How much did she use in total?

A) 13/24

B) 15/24

C) 17/24

D) 11/24

E) 9/24

12. Subtract: 7/8 − 1/6

A) 13/24

B) 11/24

C) 17/24

D) 5/6

E) 3/4

13. Jack rode his bike for 5/12 hour in the morning and 1/4 hour in the afternoon. Total time?

A) 2/3

B) 7/12

C) 3/4

D) 5/6

E) 11/12

14. Eva had 2/3 of a bag of flour. She used 1/4. How much remains?

A) 5/12

B) 1/2

C) 1/3

D) 7/12

E) 2/5

15. Add: 7/10 + 3/8

A) 1 1/5

B) 1 1/4

C) 1 11/40

D) 1 3/8

E) 1 7/20

16. Liam has 5/9 of a pie. He eats 2/3. How much is left?

A) 1/9

B) 1/3

C) 2/9

D) None

E) 4/9

17. Add: 3/5 + 1/2

A) 1 1/10

B) 1 1/5

C) 7/10

D) 1 3/10

E) 1 1/2

18. Subtract: 4/5 − 1/3

A) 7/15

B) 9/15

C) 8/15

D) 11/15

E) 13/15

19. A jug holds 5/6 liters. You pour out 3/10. What remains?

A) 13/30

B) 8/15

C) 17/30

D) 7/15

E) 1/2

20. Add: 2/9 + 1/4

A) 17/36

B) 11/36

C) 13/36

D) 7/18

E) 9/18

21. Lucas biked 3/5 mile, then ran 3/10 mile. How far did he go?

A) 9/10

B) 3/4

C) 4/5

D) 1

E) 1 1/10

22. Ella used 2/3 of a tank of gas on Monday and 3/8 on Tuesday. Total?

A) 1 5/24

B) 1 1/2

C) 1 7/24

D) 1

E) 1 1/4

23. Subtract: 5/8 − 1/3

A) 7/24

B) 11/24

C) 13/24

D) 17/24

E) 19/24

24. Add: 2/5 + 3/10

A) 7/10

B) 3/4

C) 4/5

D) 9/10

E) 1

25. A student finished 3/4 of a test, then 2/5 more. What fraction is done?

A) 1 3/20

B) 1 2/5

C) 1 1/20

D) 1 1/4

E) 1 1/10

26. Subtract: 7/9 − 1/2

A) 5/18

B) 4/9

C) 3/9

D) 1/3

E) 2/9

27. Add: 5/6 + 2/5

A) 1 7/30

B) 1 1/5

C) 1 4/11

D) 1 1/6

E) 1 2/3

28. Subtract: 11/12 − 5/8

A) 13/24

B) 8/24

C) 7/24

D) 11/24

E) 17/24

29. Samantha has 3/4 yard of fabric and buys 2/9 more. How much does she have?

A) 29/36

B) 31/36

C) 27/36

D) 33/36

E) 35/36

30. Liam ate 5/6 of a pie. His sister ate 1/5. How much did they eat?

A) 31/30

B) 1

C) 27/30

D) 1 1/30

E) 1 2/5

$Questions on Fractions with Different Denominators$

Answer Key with Explanations

1. D) 5/6 → LCD = 6 → 2/3 = 4/6 → 4/6 + 1/6 = 5/6

2. A) 1 5/12 → 3/4 = 9/12, 2/3 = 8/12 → 17/12 = 1 5/12

3. B) 1 1/12 → 5/6 + 1/4 = 10/12 + 3/12 = 13/12 = 1 1/12

4. C) 11/15 → 2/5 = 6/15, 1/3 = 5/15 → 11/15

5. D) 31/24

6. A) 1/3 → 5/6 − 1/2 = 10/12 − 6/12 = 4/12 = 1/3

7. D) 11/20 → 3/4 − 2/5 = 15/20 − 8/20 = 7/20

8. B) 1 4/15

9. A) 1/2 → 5/6 − 1/3 = 5/6 − 2/6 = 3/6 = 1/2

10. A) 5/12

11. A) 13/24

12. C) 17/24

13. B) 7/12

14. A) 5/12

15. C) 1 11/40

16. A) 1/9

17. D) 1 3/10

18. A) 7/15

19. C) 17/30

20. A) 17/36

21. A) 9/10

22. A) 1 5/24

23. C) 13/24

24. A) 7/10

25. C) 1 1/20

26. A) 5/18

27. A) 1 7/30

28. A) 13/24

29. B) 31/36

30. D) 1 1/30

Questions on Fractions with Like Denominators: Sums, Differences, and Expressions

June 06, 2025 Fractions

Questions on Fractions with Like Denominators: Sums, Differences, and Expressions

Multiple-choice questions for Grade 6 students, focusing on Fractions with Like Denominators (addition, subtraction, and basic expressions). Each question uses real-life scenarios, has five options (A–E), and the answers with explanations are provided at the end.

Grade 6 – Fractions with Like Denominators: Sums, Differences, and Expressions

Questions

1. Emma drank 3/8 of a liter of juice in the morning and 2/8 in the afternoon. How much did she drink in total?

A) 5/8

B) 6/8

C) 3/8

D) 1/8

E) 7/8

2. A recipe needs 5/6 cup of sugar. Tom only has 2/6 cup. How much more does he need?

A) 2/6

B) 5/6

C) 3/6

D) 4/6

E) 1/6

3. A ribbon is 7/10 meters long. Jane cuts off 3/10. How much ribbon is left?

A) 3/10

B) 4/10

C) 5/10

D) 7/10

E) 2/10

4. Lucy ate 2/5 of a cake and her brother ate 1/5. How much cake was eaten in total?

A) 1/5

B) 3/5

C) 2/5

D) 4/5

E) 5/5

5. Subtract: 6/9 − 2/9 = ?

A) 4/9

B) 3/9

C) 5/9

D) 2/9

E) 6/9

6. Add: 4/7 + 2/7 = ?

A) 5/7

B) 6/7

C) 7/7

D) 4/7

E) 3/7

7. You read 5/12 of a book yesterday and 6/12 today. How much have you read in total?

A) 12/12

B) 10/12

C) 11/12

D) 9/12

E) 8/12

8. A jar has 8/10 liters of water. 5/10 liters are poured out. How much remains?

A) 2/10

B) 3/10

C) 4/10

D) 5/10

E) 1/10

9. What is 3/6 + 2/6?

A) 4/6

B) 3/6

C) 5/6

D) 6/6

E) 2/6

10. Ben had 7/8 of a pizza and ate 3/8. What fraction remains?

A) 4/8

B) 3/8

C) 5/8

D) 2/8

E) 6/8

11. Express: 5/9 + 2/9 − 1/9

A) 6/9

B) 7/9

C) 5/9

D) 8/9

E) 9/9

12. Lily used 3/5 of her money and then spent 1/5 more. How much has she spent total?

A) 5/5

B) 4/5

C) 3/5

D) 2/5

E) 1/5

13. Add: 6/10 + 2/10 = ?

A) 9/10

B) 7/10

C) 8/10

D) 6/10

E) 10/10

14. Subtract: 5/7 − 4/7 = ?

A) 1/7

B) 2/7

C) 3/7

D) 4/7

E) 0/7

15. A jug holds 10/12 liters of milk. You use 7/12. How much is left?

A) 4/12

B) 3/12

C) 2/12

D) 1/12

E) 5/12

16. Add: 1/6 + 4/6

A) 5/6

B) 6/6

C) 4/6

D) 3/6

E) 2/6

17. Subtract: 9/10 − 6/10

A) 4/10

B) 3/10

C) 2/10

D) 5/10

E) 6/10

18. Add: 2/8 + 5/8

A) 6/8

B) 7/8

C) 5/8

D) 8/8

E) 4/8

19. Express: 3/4 + 2/4 − 1/4

A) 4/4

B) 5/4

C) 3/4

D) 2/4

E) 6/4

20. You have 10/10 of a pizza. You eat 6/10 and your friend eats 2/10. What fraction remains?

A) 1/10

B) 3/10

C) 2/10

D) 4/10

E) 5/10

21. Add: 7/9 + 1/9

A) 8/9

B) 7/9

C) 6/9

D) 9/9

E) 5/9

22. Subtract: 5/8 − 2/8

A) 3/8

B) 2/8

C) 1/8

D) 4/8

E) 5/8

23. Add: 3/10 + 4/10

A) 6/10

B) 5/10

C) 7/10

D) 8/10

E) 4/10

24. A class finished 11/12 of their project. They did 7/12 last week. How much was done this week?

A) 3/12

B) 2/12

C) 4/12

D) 5/12

E) 6/12

25. Subtract: 4/6 − 1/6

A) 3/6

B) 2/6

C) 1/6

D) 4/6

E) 0/6

26. A train traveled 6/7 of its journey and still has 1/7 to go. How long is the total trip?

A) 6/7

B) 7/7

C) 8/7

D) 5/7

E) 4/7

27. Add: 2/3 + 1/3

A) 2/3

B) 1/3

C) 3/3

D) 4/3

E) 5/3

28. Subtract: 8/9 − 5/9

A) 3/9

B) 2/9

C) 4/9

D) 5/9

E) 1/9

29. Liam drank 5/6 of his smoothie. His sister drank 1/6. How much did they drink together?

A) 6/6

B) 5/6

C) 7/6

D) 4/6

E) 1/6

30. Subtract: 3/5 − 3/5

A) 1/5

B) 2/5

C) 0

D) 3/5

E) 4/5

$Questions on Fractions with Like Denominators: Sums, Differences, and Expressions$

Answer Key with Explanations

1. A) 5/8 → 3/8 + 2/8 = 5/8

2. C) 3/6 → 5/6 − 2/6 = 3/6

3. B) 4/10 → 7/10 − 3/10 = 4/10

4. B) 3/5 → 2/5 + 1/5 = 3/5

5. A) 4/9

6. B) 6/7

7. C) 11/12

8. B) 3/10

9. C) 5/6

10. A) 4/8

11. A) 6/9 → 5 + 2 − 1 = 6

12. B) 4/5

13. C) 8/10

14. A) 1/7

15. B) 3/12

16. A) 5/6

17. B) 3/10

18. B) 7/8

19. A) 4/4

20. B) 2/10 remaining (10 − 6 − 2)

21. A) 8/9

22. A) 3/8

23. C) 7/10

24. C) 4/12 → 11 − 7 = 4

25. A) 3/6

26. B) 7/7

27. C) 3/3

28. A) 3/9

29. A) 6/6

30. C) 0

Questions on Mixed Numbers: Sums, Differences, Rounding, and Fractions

June 04, 2025 Fractions

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

$Questions on Mixed Numbers: Sums, Differences, Rounding, and Fractions$

Questions on Fraction Rounding

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

Questions on Fraction Rounding

June 04, 2025 Fractions

Questions on Fraction Rounding

Multiple-choice questions for Grade 6, focusing on Fraction Rounding using real-life, hypothetical situations. Each question includes five options (A–E). At the end, you'll find an answer key with explanations.

Grade 6 – Fraction Rounding

Questions

1. Anna drank 3/4 of a bottle of juice. To the nearest whole number, how much did she drink?

A) 0

B) 1

C) 2

D) 1/2

E) 1.5

2. A watermelon weighs about 5 2/3 pounds. Round to the nearest whole number.

A) 6

B) 5

C) 4

D) 7

E) 5.5

3. Liam spent 2 1/5 hours studying. Round his time to the nearest hour.

A) 1

B) 2

C) 3

D) 4

E) 2.5

4. A recipe uses 1 3/8 cups of sugar. Round to the nearest whole cup.

A) 1

B) 2

C) 3

D) 1.5

E) 0

5. A dog ate 7/10 of its food. Round to the nearest whole number.

A) 1

B) 0

C) 2

D) 3

E) 1.5

6. A hiker walked 6 1/2 miles. Round the distance to the nearest mile.

A) 6

B) 7

C) 5

D) 8

E) 6.5

7. A bus was 9 3/4 minutes late. Round to the nearest minute.

A) 9

B) 10

C) 11

D) 8

E) 9.5

8. Emma read 1 2/3 books this week. Round to the nearest whole number.

A) 1

B) 2

C) 3

D) 4

E) 1.5

9. A pizza was cut into 8 slices, and Jack ate 5/8 of it. Round to the nearest whole pizza.

A) 1

B) 0

C) 2

D) 1.5

E) 3

10. The glass is filled to 3/10 of its capacity. Round to the nearest whole.

A) 0

B) 1

C) 2

D) 3

E) 0.5

11. A bottle contains 1 5/6 liters of water. Round to the nearest liter.

A) 1

B) 2

C) 3

D) 4

E) 1.5

12. A farmer picked 4 3/10 baskets of apples. Round to the nearest whole basket.

A) 4

B) 5

C) 6

D) 3

E) 4.5

13. A plane flew 2 7/8 hours. Round to the nearest hour.

A) 2

B) 3

C) 4

D) 5

E) 3.5

14. A baker used 2 1/2 cups of flour. Round to the nearest cup.

A) 2

B) 3

C) 4

D) 5

E) 2.5

15. Rachel ate 1 1/4 sandwiches. Round to the nearest sandwich.

A) 1

B) 2

C) 3

D) 0

E) 1.5

16. A movie lasted 1 3/4 hours. Round to the nearest hour.

A) 1

B) 2

C) 3

D) 1.5

E) 0

17. Alex drank 2/5 of a smoothie. Round to the nearest whole number.

A) 0

B) 1

C) 2

D) 3

E) 1.5

18. Sam read 5 1/8 pages. Round to the nearest whole page.

A) 5

B) 6

C) 4

D) 7

E) 5.5

19. The bottle is filled to 6 7/10 liters. Round to the nearest liter.

A) 6

B) 7

C) 8

D) 5

E) 7.5

20. Olivia ran 3 3/5 kilometers. Round to the nearest whole number.

A) 3

B) 4

C) 5

D) 2

E) 4.5

$Questions on Fraction Rounding$

Answer Key with Explanations

1. B) 1 – 3/4 = 0.75 → closer to 1

2. A) 6 – 2/3 ≈ 0.67 → 5 2/3 = 5.67 → rounded = 6

3. B) 2

4. A) 1

5. A) 1 – 0.7 → rounds to 1

6. B) 7 – 1/2 = 0.5 → rounds up

7. B) 10 – 3/4 = 0.75 → 9.75 → rounds up

8. B) 2 – 2/3 = 0.67 → 1.67 rounds to 2

9. B) 0 – 5/8 = 0.625 → less than 1

10. A) 0 – 3/10 = 0.3 → rounds to 0

11. B) 2 – 5/6 ≈ 0.83 → rounds up

12. A) 4 – 3/10 = 0.3 → rounds down

13. C) 4 – 7/8 = 0.875 → rounds up

14. B) 3 – 1/2 = 0.5 → rounds up

15. A) 1

16. B) 2 – 3/4 = 0.75 → rounds up

17. A) 0 – 2/5 = 0.4 → rounds down

18. A) 5 – 1/8 = 0.125 → rounds down

19. B) 7 – 7/10 = 0.7 → rounds up

20. B) 4 – 3/5 = 0.6 → rounds up

Questions on Decimals and Fractions

June 04, 2025 Fractions

Questions on Decimals and Fractions

Multiple choice questions for Grade 6, using real-life, hypothetical situations to practice concepts involving decimals and fractions. Each question includes five options (A–E), and detailed explanations for all answers are provided at the end.

Decimals and Fractions – Grade 6 Real-World Problems

Questions

1. Emma bought 1.25 kg of apples and 0.75 kg of bananas. How much fruit did she buy in total?

A) 2.0 kg

B) 1.85 kg

C) 2.25 kg

D) 2.05 kg

E) 1.95 kg

2. A bottle contains 3/4 of a liter of juice. If Mia drinks 1/2 liter, how much is left?

A) 1/4 L

B) 2/3 L

C) 1/2 L

D) 3/4 L

E) 1/3 L

3. A baker used 2.5 cups of flour and 1.75 cups of sugar. How many cups in total did she use?

A) 4.25

B) 4.15

C) 4.0

D) 3.75

E) 4.30

4. Which fraction is equal to 0.8?

A) 2/5

B) 3/4

C) 4/5

D) 5/8

E) 3/5

5. Liam ran 2.6 kilometers on Monday and 3.4 kilometers on Tuesday. How far did he run in total?

A) 5.9 km

B) 5.8 km

C) 6.0 km

D) 5.0 km

E) 6.2 km

6. What is 3/10 written as a decimal?

A) 0.03

B) 0.3

C) 0.13

D) 3.0

E) 0.33

7. Sophie spent $2.50 on a drink and $3.75 on a sandwich. How much did she spend altogether?

A) $6.25

B) $5.75

C) $6.15

D) $5.85

E) $7.25

8. What is 1.2 + 0.85?

A) 2.0

B) 2.05

C) 2.15

D) 2.1

E) 2.25

9. A cake recipe calls for 3/4 cup of sugar. If you want to make half the recipe, how much sugar do you need?

A) 1/4 cup

B) 1/2 cup

C) 3/8 cup

D) 3/4 cup

E) 2/3 cup

10. A book costs $12.40 and a notebook costs $3.60. What is the total cost?

A) $15.00

B) $15.40

C) $16.00

D) $16.10

E) $15.80

11. Which decimal is equal to 7/10?

A) 0.77

B) 0.7

C) 0.75

D) 0.8

E) 0.6

12. Jacob drank 0.6 liters of water in the morning and 0.85 liters in the afternoon. How much water did he drink in total?

A) 1.35 L

B) 1.45 L

C) 1.55 L

D) 1.25 L

E) 1.5 L

13. What is 1/2 + 3/10?

A) 4/10

B) 8/10

C) 9/10

D) 7/10

E) 5/8

14. Which of the following is the same as 1.25?

A) 5/4

B) 1 3/5

C) 1 1/5

D) 6/5

E) 1 1/4

15. Olivia cut 2.75 meters of ribbon for a project. Then she cut another 1.6 meters. How much ribbon did she cut in total?

A) 4.25 m

B) 4.35 m

C) 4.15 m

D) 4.4 m

E) 4.3 m

16. Which of these is equivalent to 2/5?

A) 0.2

B) 0.25

C) 0.5

D) 0.4

E) 0.6

17. James spent 3/4 of an hour doing homework and 2/5 of an hour reading. How much time did he spend in total?

A) 1 hour

B) 1 1/10 hours

C) 1 3/20 hours

D) 1 1/5 hours

E) 1 1/4 hours

18. Which is greater: 0.6 or 2/3?

A) 0.6

B) 2/3

C) They are equal

D) Not enough information

E) 0.66

19. Lily walked 3.25 km in the morning and 2.75 km in the afternoon. How far did she walk in total?

A) 6.0 km

B) 5.75 km

C) 5.95 km

D) 6.1 km

E) 6.2 km

20. Which fraction is equivalent to 0.375?

A) 3/8

B) 1/3

C) 5/8

D) 7/20

E) 1/4

$Questions on Decimals and Fractions$

Answer Key with Explanations

1. C) 2.0 kg

1.25 + 0.75 = 2.0

2. A) 1/4 L

3/4 - 1/2 = 1/4

3. A) 4.25

2.5 + 1.75 = 4.25

4. C) 4/5

0.8 = 4 ÷ 5

5. A) 5.9 km

2.6 + 3.4 = 5.9

6. B) 0.3

3 ÷ 10 = 0.3

7. A) $6.25

2.50 + 3.75 = 6.25

8. C) 2.05

1.2 + 0.85 = 2.05

9. C) 3/8 cup

Half of 3/4 is 3/8

10. D) $16.00

12.40 + 3.60 = 16.00

11. B) 0.7

7 ÷ 10 = 0.7

12. A) 1.45 L

0.6 + 0.85 = 1.45

13. B) 8/10

14. E) 1 1/4

1.25 = 1 + 1/4 = 1 1/4

15. B) 4.35 m

2.75 + 1.6 = 4.35

16. D) 0.4

2 ÷ 5 = 0.4

17. C) 1 3/20

3/4 = 15/20, 2/5 = 8/20 → 15 + 8 = 23/20 = 1 3/20

18. B) 2/3

2/3 ≈ 0.666…, which is more than 0.6

19. A) 6.0 km

3.25 + 2.75 = 6.0

20. A) 3/8

3 ÷ 8 = 0.375

Questions on Improper Fractions and Mixed Numbers

June 04, 2025 Fractions

Questions on Improper Fractions and Mixed Numbers

Multiple choice questions for 6th grade focused on improper fractions and mixed numbers, all based on real-life-inspired scenarios using hypothetical data. Each question has five options (A–E), and complete answer explanations are provided at the end.

Multiple Choice Questions

1. Sara ran 13/4 miles on Monday and 11/4 miles on Tuesday. How many miles did she run in total?

A) 5 miles

B) 6 miles

C) 24/4 miles

D) 3 1/2 miles

E) 6 1/2 miles

2. A board is 9 3/4 inches long. If we cut off 5 1/2 inches, how much is left?

A) 4 1/2 inches

B) 5 inches

C) 4 1/4 inches

D) 3 1/2 inches

E) 4 3/4 inches

3. Which of the following is equal to 17/3?

A) 5 3/4

B) 6 1/3

C) 5 2/3

D) 4 2/3

E) 5 1/3

4. A carpenter needs 8 boards that are each 3 1/2 feet long. What is the total length needed?

A) 24 feet

B) 26 feet

C) 28 feet

D) 30 feet

E) 36 feet

5. Mia baked 5 1/3 pans of brownies for a bake sale and sold 3 2/3 pans. How many pans are left?

A) 1 3/4

B) 2 1/2

C) 1 2/3

D) 2

E) 2 2/3

6. Convert the mixed number 4 5/6 to an improper fraction.

A) 29/6

B) 27/6

C) 25/6

D) 23/6

E) 21/6

7. Which mixed number equals the improper fraction 45/8?

A) 6 1/4

B) 5 5/8

C) 5 3/8

D) 5 4/8

E) 5 7/8

8. John is stacking books that are each 2 1/4 inches thick. If he stacks 4 of them, how tall is the stack?

A) 8 inches

B) 9 inches

C) 9 1/2 inches

D) 9 1/4 inches

E) 10 inches

9. If 3/2 of a recipe makes 12 cookies, how many cookies does 1 recipe make?

A) 6

B) 8

C) 9

D) 10

E) 16

10. A container holds 16 2/3 cups of water. If you pour out 9 1/3 cups, how much remains?

A) 7 1/3 cups

B) 6 1/2 cups

C) 8 cups

D) 6 2/3 cups

E) 7 cups

11. Which of the following is the simplified form of 18/6?

A) 3

B) 6

C) 2 1/2

D) 2

E) 3 1/2

12. Emma made 3 3/5 dozen cookies. She gave away 1 4/5 dozen. How many dozen does she have left?

A) 2 1/5

B) 1 4/5

C) 2

D) 1 3/4

E) 2 2/5

13. Which of the following is an improper fraction?

A) 3 2/5

B) 1 3/4

C) 5/6

D) 9/4

E) 2 1/2

14. A pipe is 14 1/2 inches long. Another pipe is 6 3/4 inches long. What is their total length?

A) 21 inches

B) 21 1/4 inches

C) 21 3/4 inches

D) 20 inches

E) 20 3/4 inches

15. Write 7 2/3 as an improper fraction.

A) 23/3

B) 21/3

C) 24/3

D) 22/3

E) 20/3

16. What is 11/3 as a mixed number?

A) 3 2/3

B) 3 1/3

C) 3 1/2

D) 2 2/3

E) 2 1/3

17. A painter pours 2 3/4 gallons of paint into a bucket. Then he adds 3 2/3 gallons more. How much paint is in the bucket?

A) 6 1/2

B) 6 5/12

C) 5 3/4

D) 6 2/3

E) 7 gallons

18. Which of these is the correct conversion of 16/5 to a mixed number?

A) 3 1/5

B) 3 3/5

C) 3 4/5

D) 3 2/5

E) 2 3/5

19. If a recipe calls for 2 1/2 cups of flour and you only have 7/2 cups, do you have enough?

A) No, you’re short 1/2 cup

B) Yes, you have just enough

C) No, you’re short 1 cup

D) Yes, you have 1/2 cup extra

E) No, you need 1/4 cup more

20. What is the sum of 3 3/8 and 4 5/8?

A) 7 7/8

B) 8

C) 8 1/8

D) 8 2/3

E) 7 6/8

$Questions on Improper Fractions and Mixed Numbers$

Answer Key with Explanations

1. E – (13 + 11)/4 = 24/4 = 6 → 6 miles

2. C – 9 3/4 − 5 1/2 = 9.75 − 5.5 = 4.25 → 4 1/4 inches

3. B – 17 ÷ 3 = 5 R2 → 5 2/3

4. C – 3.5 × 8 = 28 feet

5. C – 5 1/3 − 3 2/3 = 1 2/3

6. A – (4×6 + 5)/6 = 24+5 = 29/6

7. A – 45 ÷ 8 = 5 R5 → 5 5/8

8. D – 2.25 × 4 = 9 inches

9. B – 3/2 of recipe = 12 → 1 recipe = 12 ÷ (3/2) = 12 × 2/3 = 8

10. A – 16 2/3 − 9 1/3 = 7 1/3

11. A – 18 ÷ 6 = 3

12. A – 3 3/5 − 1 4/5 = 2 1/5

13. D – 9/4 is improper; numerator > denominator

14. C – 14 1/2 + 6 3/4 = 21 3/4

15. A – 7×3 + 2 = 23/3

16. B – 11 ÷ 3 = 3 R2 → 3 2/3

17. B – 2 3/4 + 3 2/3 = 6 5/12

18. C – 16 ÷ 5 = 3 R1 → 3 1/5

19. B – 2 1/2 = 5/2 = 7/2 = you have just enough

20. C – 3 3/8 + 4 5/8 = 8 1/8