Generated Sept 7, 2026 at 11:33 PM from Fractions Important Notes - Class 6 Mathematics _ FREE PDF Download.pdf
Mathematics
Understanding Fractions: Units, Number Lines, and Real-Life Applications
Fractions (unit fractions, numerator/denominator, proper vs. improper, multiplying whole numbers by fractions, measurement and number lines)
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
A fraction represents a part of a whole.
True
False
Answer:
True
2.
1 pt
True / False
In the fraction 7/10, the number 7 is the denominator.
True
False
Answer:
False
3.
1 pt
True / False
If a shape is cut into more equal pieces, each piece becomes larger.
True
False
Answer:
False
4.
1 pt
True / False
Fractions can be shown between whole numbers on a number line.
True
False
Answer:
True
5.
1 pt
True / False
The fraction 9/9 is an improper fraction.
True
False
Answer:
True
6.
1 pt
True / False
Folding a strip into four equal sections creates parts of size 1/4 each.
True
False
Answer:
True
7.
1 pt
True / False
The fraction 3/2 is less than 1.
True
False
Answer:
False
8.
1 pt
True / False
Fractions were studied in ancient Indian mathematics.
True
False
Answer:
True
9.
1 pt
True / False
Multiplying 6 by 1/3 results in a number greater than 6.
True
False
Answer:
False
10.
1 pt
True / False
To plot 2/5 from 0 to 1 on a number line, divide the segment into 5 equal parts and count two parts from 0.
True
False
Answer:
True
11.
2 pts
Multiple Choice
Which of the following is a unit fraction?
A. 2/3
B. 1/6
C. 3/2
D. 5/3
Answer:
B. 1/6
12.
2 pts
Multiple Choice
Which statement about size is correct?
A. 1/8 is larger than 1/5
B. 1/5 is larger than 1/8
C. 1/8 equals 1/5
D. The two fractions cannot be compared
Answer:
B. 1/5 is larger than 1/8
13.
2 pts
Multiple Choice
Identify the improper fraction.
A. 4/7
B. 7/4
C. 3/5
D. 5/6
Answer:
B. 7/4
14.
2 pts
Multiple Choice
The denominator in 11/12 tells you:
A. How many parts are taken
B. The number of equal parts in the whole
C. The whole number part of the quantity
D. Nothing about the size of the parts
Answer:
B. The number of equal parts in the whole
15.
2 pts
Multiple Choice
To locate 5/8 on the interval from 0 to 1, into how many equal parts should the interval be divided?
A. 4
B. 5
C. 8
D. 10
Answer:
C. 8
16.
2 pts
Multiple Choice
Which reading emphasizes the unit fraction idea for 5/6?
A. five groups of one-sixth
B. five and one-sixth
C. five over six times
D. six groups of one-fifth
Answer:
A. five groups of one-sixth
17.
2 pts
Multiple Choice
Which fraction is equal to one whole?
A. 7/8
B. 5/5
C. 9/10
D. 4/7
Answer:
B. 5/5
18.
2 pts
Multiple Choice
A recipe needs 3/4 cup of milk. Which is an equivalent way to measure this using 1/4-cup scoops?
A. one 1/4-cup scoop
B. two 1/4-cup scoops
C. three 1/4-cup scoops
D. four 1/4-cup scoops
Answer:
C. three 1/4-cup scoops
19.
2 pts
Multiple Choice
What is the value of 18 × 1/6?
A. 3
B. 6
C. 12
D. 108
Answer:
A. 3
20.
2 pts
Multiple Choice
Which fraction is closest to 1 but still less than 1?
A. 3/8
B. 5/12
C. 4/7
D. 8/9
Answer:
D. 8/9
21.
2 pts
Fill in the Blank
The top number of a fraction is called the _____.
Answer:
numerator
22.
2 pts
Fill in the Blank
The bottom number of a fraction is the _____.
Answer:
denominator
23.
2 pts
Fill in the Blank
Each equal piece of a divided whole is a _____ unit.
Answer:
fractional
24.
2 pts
Fill in the Blank
A fraction with a smaller numerator than its denominator is called _____.
Answer:
proper
25.
2 pts
Fill in the Blank
To multiply a whole number by a fraction, multiply the whole number by the numerator and then _____ by the denominator.
Answer:
divide
26.
2 pts
Fill in the Blank
To mark 4/7 between 0 and 1, divide the segment into _____ equal parts.
Answer:
7
27.
2 pts
Fill in the Blank
The fraction 12/12 is equal to _____.
Answer:
1
28.
2 pts
Fill in the Blank
A builder might measure 1/3 of a board’s length before making a _____.
Answer:
cut
29.
2 pts
Fill in the Blank
Between 1/9 and 1/3, the larger piece is _____.
Answer:
1/3
30.
2 pts
Fill in the Blank
Folding a paper into two equal sections makes parts of size _____.
Answer:
1/2
31.
5 pts
Word Problem
A roll of ribbon is 5 meters long. If 2/5 of the ribbon is used to wrap a package, how many meters of ribbon are used? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply the whole length by the fraction: 5 × 2/5
Step 2: Calculate: (5 × 2) ÷ 5 = 10 ÷ 5 = 2
Answer: 2 meters
32.
5 pts
Word Problem
A pan of brownies is cut into 12 equal squares. Lina eats 5 squares. What fraction of the pan did she eat? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Write the fraction of pieces eaten: 5/12
Step 2: Check for simplification: 5/12 cannot be simplified further
Answer: 5/12 of the pan
33.
5 pts
Word Problem
A 2-meter measuring stick is marked in 1/4-meter sections. What is the total length of three consecutive 1/4-meter sections? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply the unit length by the number of sections: 3 × 1/4
Step 2: Compute: 3/4 meter
Answer: 3/4 meter
34.
5 pts
Word Problem
A rope is 12 meters long. A teacher cuts off 1/3 of it for a demonstration. How long is the piece that was cut? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply: 12 × 1/3
Step 2: Compute: 12 ÷ 3 = 4
Answer: 4 meters
35.
5 pts
Word Problem
A garden row is 9 meters long. If 5/9 of the row is planted with carrots, how many meters are planted with carrots? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Calculate: 9 × 5/9 = (9 × 5) ÷ 9
Step 2: Simplify: 45 ÷ 9 = 5
Answer: 5 meters
36.
5 pts
Word Problem
On a number line from 0 to 1, you want to place the fraction 5/8. Into how many equal parts should you divide the interval, and at which count from 0 will 5/8 be located? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Use the denominator to set equal parts: divide 0–1 into 8 equal parts
Step 2: Use the numerator to count the position: move to the 5th tick from 0
Answer: Divide into 8 equal parts; place a mark at the 5th tick from 0
37.
5 pts
Word Problem
You fill a container using a 1/4-cup scoop. After three scoops, what fraction of a cup have you added? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply number of scoops by scoop size: 3 × 1/4
Step 2: Compute: 3/4
Answer: 3/4 cup
38.
5 pts
Word Problem
A box contains 16 chalk sticks. Each student receives 1/8 of the box. How many chalk sticks does each student get? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply total sticks by the fraction: 16 × 1/8
Step 2: Compute: 16 ÷ 8 = 2
Answer: 2 chalk sticks
39.
5 pts
Word Problem
A paper strip is 6 units long. If 2/3 of the strip is shaded, how many units are shaded? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply: 6 × 2/3
Step 2: Compute: (6 × 2) ÷ 3 = 12 ÷ 3 = 4
Answer: 4 units
40.
5 pts
Word Problem
A can of base paint holds 5 liters. To make a tint, you add a color amount equal to 1/10 of the base paint. How many liters of color are added? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply: 5 × 1/10
Step 2: Compute: 5 ÷ 10 = 0.5
Answer: 0.5 liters
40
Total Questions
100
Total Points
~35
Minutes