Generated Aug 16, 2026 at 10:43 AM from Fractions Important Notes - Class 6 Mathematics _ FREE PDF Download.pdf
Mathematics
Fractions: Units, Reading, and Number Line Practice
Fractions (fractional units, proper/improper, reading, number line, multiplying by fractions)
100 pts
40 questions • ~35 min
Aayush Nayak
6-B
Grade 6
YBIS
Home
Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
1 pt
True / False
In a fraction, the top number tells how many parts are taken.
True
False
Answer:
True
2.
1 pt
True / False
The fraction 5/5 is a proper fraction.
True
False
Answer:
False
3.
1 pt
True / False
When the denominator gets larger while the numerator stays 1, the fractional part gets smaller.
True
False
Answer:
True
4.
1 pt
True / False
On a number line, 2/7 is to the right of 3/7.
True
False
Answer:
False
5.
1 pt
True / False
The fraction 4/3 is greater than 1.
True
False
Answer:
True
6.
1 pt
True / False
To show 1/10 between 0 and 1 on a number line, divide the segment into ten equal parts first.
True
False
Answer:
True
7.
1 pt
True / False
2 × (1/5) equals 1/10.
True
False
Answer:
False
8.
1 pt
True / False
The fractions 3/8 and 9/24 name the same amount.
True
False
Answer:
True
9.
1 pt
True / False
A fractional unit must come from equal shares of the whole.
True
False
Answer:
True
10.
1 pt
True / False
In 3/4, the denominator is 3.
True
False
Answer:
False
11.
2 pts
Multiple Choice
Which part of 7/9 tells into how many equal parts the whole is divided?
A. 7
B. 9
C. Both numbers
D. Neither number
Answer:
B. 9
12.
2 pts
Multiple Choice
Which fraction is the largest?
A. 1/5
B. 1/4
C. 1/6
D. 1/8
Answer:
B. 1/4
13.
2 pts
Multiple Choice
Which fraction is equivalent to 2/3?
A. 8/14
B. 6/9
C. 9/15
D. 10/18
Answer:
B. 6/9
14.
2 pts
Multiple Choice
“Three times one-fourth” is written as:
A. 1/3
B. 3/4
C. 4/3
D. 3/8
Answer:
B. 3/4
15.
2 pts
Multiple Choice
A wooden rod is cut into 12 equal segments. Each segment is what fraction of the rod?
A. 1/6
B. 1/12
C. 12/1
D. 6/1
Answer:
B. 1/12
16.
2 pts
Multiple Choice
To accurately place 5/8 on a number line from 0 to 1, you should first divide the interval into:
A. 5 equal parts
B. 7 equal parts
C. 8 equal parts
D. 10 equal parts
Answer:
C. 8 equal parts
17.
2 pts
Multiple Choice
Which statement is true about proper fractions?
A. The numerator is greater than the denominator
B. The numerator equals the denominator
C. The numerator is less than the denominator
D. They are always more than 1
Answer:
C. The numerator is less than the denominator
18.
2 pts
Multiple Choice
How is 5/6 read aloud?
A. Five sixths
B. Five sevens
C. Five quarters
D. Five halves
Answer:
A. Five sixths
19.
2 pts
Multiple Choice
Which scenario best describes measuring with fractional units?
A. Counting marbles one by one
B. Folding a ribbon into four equal parts
C. Guessing the length of a desk
D. Rounding all lengths to the nearest ten
Answer:
B. Folding a ribbon into four equal parts
20.
2 pts
Multiple Choice
As the denominator increases while the numerator stays 1, the size of each part:
A. Gets larger
B. Stays the same
C. Gets smaller
D. Becomes negative
Answer:
C. Gets smaller
21.
2 pts
Fill in the Blank
The number below the bar in 3/7 is called the _____.
Answer:
denominator
22.
2 pts
Fill in the Blank
Dividing a whole into equal parts creates _____ units.
Answer:
fractional
23.
2 pts
Fill in the Blank
The fraction 12/12 is equal to _____.
Answer:
1
24.
2 pts
Fill in the Blank
The fraction 2/5 can also be read as "two _____."
Answer:
fifths
25.
2 pts
Fill in the Blank
On a number line, to mark 4/9, divide 0 to 1 into _____ equal parts first.
Answer:
9
26.
2 pts
Fill in the Blank
The fraction with numerator 9 and denominator 4 written as a mixed number is _____.
Answer:
2 1/4
27.
2 pts
Fill in the Blank
Multiplying 1/3 by 9 gives _____.
Answer:
3
28.
2 pts
Fill in the Blank
When comparing 1/8 and 1/3, the larger fraction is _____.
Answer:
1/3
29.
2 pts
Fill in the Blank
A fraction with a numerator less than its denominator is called a _____ fraction.
Answer:
proper
30.
2 pts
Fill in the Blank
If a ribbon is one unit long and folded into four equal parts, each part is _____ of the whole.
Answer:
1/4
31.
5 pts
Word Problem
A smoothie recipe needs 3/4 cup of yogurt per batch. How much yogurt is needed for 3 batches? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Total yogurt = 3 × (3/4)
Step 2: Multiply numerators and keep denominator: 9/4
Step 3: Convert to mixed number: 9/4 = 2 1/4
Answer: 2 1/4 cups
32.
5 pts
Word Problem
A rope is 8 meters long. It is cut into pieces each 2/3 meter long. How many pieces are made? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Number of pieces = 8 ÷ (2/3)
Step 2: Divide by a fraction: 8 × (3/2)
Step 3: Compute: 8 × 3/2 = 24/2 = 12
Answer: 12 pieces
33.
5 pts
Word Problem
A baker uses 5/6 kg of flour for muffins and 1/4 kg for cookies. How much flour is used in total? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Find a common denominator for 5/6 and 1/4: LCM = 12
Step 2: Convert: 5/6 = 10/12, 1/4 = 3/12
Step 3: Add: 10/12 + 3/12 = 13/12
Step 4: Convert to mixed number: 13/12 = 1 1/12
Answer: 1 1/12 kg
34.
5 pts
Word Problem
A jogger runs 1/2 km in the morning and 3/10 km in the evening. What is the total distance run that day? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Find a common denominator for 1/2 and 3/10: LCM = 10
Step 2: Convert: 1/2 = 5/10
Step 3: Add: 5/10 + 3/10 = 8/10
Step 4: Simplify: 8/10 = 4/5
Answer: 4/5 km
35.
5 pts
Word Problem
A circular pie is cut into 8 equal slices. Minh eats 3 slices at lunch and 1 more slice later. What fraction of the pie did Minh eat in total? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Convert slices to fractions: 3/8 and 1/8
Step 2: Add: 3/8 + 1/8 = 4/8
Step 3: Simplify: 4/8 = 1/2
Answer: 1/2 of the pie
36.
5 pts
Word Problem
A water tank holds 20 liters when full. If it is filled to 3/5 of its capacity, how many liters of water are in the tank? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Amount of water = (3/5) × 20
Step 2: Compute: 20 ÷ 5 = 4, then 4 × 3 = 12
Answer: 12 liters
37.
5 pts
Word Problem
A board is 2 meters long. A carpenter removes 3/8 meter from one end. How long is the board now? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Write 2 as eighths: 2 = 16/8
Step 2: Subtract: 16/8 − 3/8 = 13/8
Step 3: Convert to mixed number: 13/8 = 1 5/8
Answer: 1 5/8 meters
38.
5 pts
Word Problem
There are 5 sandwiches shared equally among 8 students. How much sandwich does each student receive? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Share per student = Total ÷ Number of students
Step 2: Compute: 5 ÷ 8 = 5/8
Answer: Each student gets 5/8 of a sandwich
39.
5 pts
Word Problem
Leena has 18 marbles. She gives 2/3 of them to her cousin. How many marbles does she give away? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Marbles given = (2/3) × 18
Step 2: Compute: 18 ÷ 3 = 6, then 6 × 2 = 12
Answer: 12 marbles
40.
5 pts
Word Problem
On a number line from 0 to 1 divided into 12 equal parts, where is 5/12 placed? Describe the tick mark position. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Divide the interval 0 to 1 into 12 equal parts.
Step 2: The numerator 5 means count 5 parts from 0.
Step 3: Locate the 5th tick after 0.
Answer: At the 5th tick mark from 0 between 0 and 1
40
Total Questions
100
Total Points
~35
Minutes