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Answer Key — Teacher Copy
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)
Date: September 7, 2026  •  40 questions  •  Total: 100 points
StudentAayush Nayak
Class6-B
GradeGrade 6
SchoolYBIS
1. True / False (1 pts)
A fraction represents a part of a whole.
✓ Answer
True
2. True / False (1 pts)
In the fraction 7/10, the number 7 is the denominator.
✓ Answer
False
3. True / False (1 pts)
If a shape is cut into more equal pieces, each piece becomes larger.
✓ Answer
False
4. True / False (1 pts)
Fractions can be shown between whole numbers on a number line.
✓ Answer
True
5. True / False (1 pts)
The fraction 9/9 is an improper fraction.
✓ Answer
True
6. True / False (1 pts)
Folding a strip into four equal sections creates parts of size 1/4 each.
✓ Answer
True
7. True / False (1 pts)
The fraction 3/2 is less than 1.
✓ Answer
False
8. True / False (1 pts)
Fractions were studied in ancient Indian mathematics.
✓ Answer
True
9. True / False (1 pts)
Multiplying 6 by 1/3 results in a number greater than 6.
✓ Answer
False
10. True / False (1 pts)
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.
✓ Answer
True

11. Multiple Choice (2 pts)
Which of the following is a unit fraction?
✓ Answer
B. 1/6
12. Multiple Choice (2 pts)
Which statement about size is correct?
✓ Answer
B. 1/5 is larger than 1/8
13. Multiple Choice (2 pts)
Identify the improper fraction.
✓ Answer
B. 7/4
14. Multiple Choice (2 pts)
The denominator in 11/12 tells you:
✓ Answer
B. The number of equal parts in the whole
15. Multiple Choice (2 pts)
To locate 5/8 on the interval from 0 to 1, into how many equal parts should the interval be divided?
✓ Answer
C. 8
16. Multiple Choice (2 pts)
Which reading emphasizes the unit fraction idea for 5/6?
✓ Answer
A. five groups of one-sixth
17. Multiple Choice (2 pts)
Which fraction is equal to one whole?
✓ Answer
B. 5/5
18. Multiple Choice (2 pts)
A recipe needs 3/4 cup of milk. Which is an equivalent way to measure this using 1/4-cup scoops?
✓ Answer
C. three 1/4-cup scoops
19. Multiple Choice (2 pts)
What is the value of 18 × 1/6?
✓ Answer
A. 3
20. Multiple Choice (2 pts)
Which fraction is closest to 1 but still less than 1?
✓ Answer
D. 8/9

21. Fill in the Blank (2 pts)
The top number of a fraction is called the _____.
✓ Answer
numerator
22. Fill in the Blank (2 pts)
The bottom number of a fraction is the _____.
✓ Answer
denominator
23. Fill in the Blank (2 pts)
Each equal piece of a divided whole is a _____ unit.
✓ Answer
fractional
24. Fill in the Blank (2 pts)
A fraction with a smaller numerator than its denominator is called _____.
✓ Answer
proper
25. Fill in the Blank (2 pts)
To multiply a whole number by a fraction, multiply the whole number by the numerator and then _____ by the denominator.
✓ Answer
divide
26. Fill in the Blank (2 pts)
To mark 4/7 between 0 and 1, divide the segment into _____ equal parts.
✓ Answer
7
27. Fill in the Blank (2 pts)
The fraction 12/12 is equal to _____.
✓ Answer
1
28. Fill in the Blank (2 pts)
A builder might measure 1/3 of a board’s length before making a _____.
✓ Answer
cut
29. Fill in the Blank (2 pts)
Between 1/9 and 1/3, the larger piece is _____.
✓ Answer
1/3
30. Fill in the Blank (2 pts)
Folding a paper into two equal sections makes parts of size _____.
✓ Answer
1/2

31. Word Problem (5 pts)
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.
✎ 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. Word Problem (5 pts)
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.
✎ 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. Word Problem (5 pts)
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.
✎ 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. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Multiply: 12 × 1/3
Step 2: Compute: 12 ÷ 3 = 4
Answer: 4 meters
35. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Calculate: 9 × 5/9 = (9 × 5) ÷ 9
Step 2: Simplify: 45 ÷ 9 = 5
Answer: 5 meters
36. Word Problem (5 pts)
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.
✎ 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. Word Problem (5 pts)
You fill a container using a 1/4-cup scoop. After three scoops, what fraction of a cup have you added? Show your working.
✎ Worked Solution
Step 1: Multiply number of scoops by scoop size: 3 × 1/4
Step 2: Compute: 3/4
Answer: 3/4 cup
38. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Multiply total sticks by the fraction: 16 × 1/8
Step 2: Compute: 16 ÷ 8 = 2
Answer: 2 chalk sticks
39. Word Problem (5 pts)
A paper strip is 6 units long. If 2/3 of the strip is shaded, how many units are shaded? Show your working.
✎ Worked Solution
Step 1: Multiply: 6 × 2/3
Step 2: Compute: (6 × 2) ÷ 3 = 12 ÷ 3 = 4
Answer: 4 units
40. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Multiply: 5 × 1/10
Step 2: Compute: 5 ÷ 10 = 0.5
Answer: 0.5 liters