StudentAayush Nayak
Class6-B
GradeGrade 6
SchoolYBIS
1.
True / False
(1 pts)
In a fraction, the top number tells how many parts are taken.
2.
True / False
(1 pts)
The fraction 5/5 is a proper fraction.
3.
True / False
(1 pts)
When the denominator gets larger while the numerator stays 1, the fractional part gets smaller.
4.
True / False
(1 pts)
On a number line, 2/7 is to the right of 3/7.
5.
True / False
(1 pts)
The fraction 4/3 is greater than 1.
6.
True / False
(1 pts)
To show 1/10 between 0 and 1 on a number line, divide the segment into ten equal parts first.
7.
True / False
(1 pts)
2 × (1/5) equals 1/10.
8.
True / False
(1 pts)
The fractions 3/8 and 9/24 name the same amount.
9.
True / False
(1 pts)
A fractional unit must come from equal shares of the whole.
10.
True / False
(1 pts)
In 3/4, the denominator is 3.
11.
Multiple Choice
(2 pts)
Which part of 7/9 tells into how many equal parts the whole is divided?
12.
Multiple Choice
(2 pts)
Which fraction is the largest?
13.
Multiple Choice
(2 pts)
Which fraction is equivalent to 2/3?
14.
Multiple Choice
(2 pts)
“Three times one-fourth” is written as:
15.
Multiple Choice
(2 pts)
A wooden rod is cut into 12 equal segments. Each segment is what fraction of the rod?
16.
Multiple Choice
(2 pts)
To accurately place 5/8 on a number line from 0 to 1, you should first divide the interval into:
✓ Answer
C. 8 equal parts
17.
Multiple Choice
(2 pts)
Which statement is true about proper fractions?
✓ Answer
C. The numerator is less than the denominator
18.
Multiple Choice
(2 pts)
How is 5/6 read aloud?
19.
Multiple Choice
(2 pts)
Which scenario best describes measuring with fractional units?
✓ Answer
B. Folding a ribbon into four equal parts
20.
Multiple Choice
(2 pts)
As the denominator increases while the numerator stays 1, the size of each part:
21.
Fill in the Blank
(2 pts)
The number below the bar in 3/7 is called the _____.
22.
Fill in the Blank
(2 pts)
Dividing a whole into equal parts creates _____ units.
23.
Fill in the Blank
(2 pts)
The fraction 12/12 is equal to _____.
24.
Fill in the Blank
(2 pts)
The fraction 2/5 can also be read as "two _____."
25.
Fill in the Blank
(2 pts)
On a number line, to mark 4/9, divide 0 to 1 into _____ equal parts first.
26.
Fill in the Blank
(2 pts)
The fraction with numerator 9 and denominator 4 written as a mixed number is _____.
27.
Fill in the Blank
(2 pts)
Multiplying 1/3 by 9 gives _____.
28.
Fill in the Blank
(2 pts)
When comparing 1/8 and 1/3, the larger fraction is _____.
29.
Fill in the Blank
(2 pts)
A fraction with a numerator less than its denominator is called a _____ fraction.
30.
Fill in the Blank
(2 pts)
If a ribbon is one unit long and folded into four equal parts, each part is _____ of the whole.
31.
Word Problem
(5 pts)
A smoothie recipe needs 3/4 cup of yogurt per batch. How much yogurt is needed for 3 batches? Show your working.
✎ 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.
Word Problem
(5 pts)
A rope is 8 meters long. It is cut into pieces each 2/3 meter long. How many pieces are made? Show your working.
✎ 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.
Word Problem
(5 pts)
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.
✎ 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.
Word Problem
(5 pts)
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.
✎ 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.
Word Problem
(5 pts)
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.
✎ 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.
Word Problem
(5 pts)
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.
✎ Worked Solution
Step 1: Amount of water = (3/5) × 20
Step 2: Compute: 20 ÷ 5 = 4, then 4 × 3 = 12
Answer: 12 liters
37.
Word Problem
(5 pts)
A board is 2 meters long. A carpenter removes 3/8 meter from one end. How long is the board now? Show your working.
✎ 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.
Word Problem
(5 pts)
There are 5 sandwiches shared equally among 8 students. How much sandwich does each student receive? Show your working.
✎ 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.
Word Problem
(5 pts)
Leena has 18 marbles. She gives 2/3 of them to her cousin. How many marbles does she give away? Show your working.
✎ Worked Solution
Step 1: Marbles given = (2/3) × 18
Step 2: Compute: 18 ÷ 3 = 6, then 6 × 2 = 12
Answer: 12 marbles
40.
Word Problem
(5 pts)
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.
✎ 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