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Mathematics

Fractions: Units, Reading, and Number Line Practice

Fractions (fractional units, proper/improper, reading, number line, multiplying by fractions)
Date: August 16, 2026  •  Questions: 40  •  Estimated time: 35 minutes
Score
____ / 100
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Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. In a fraction, the top number tells how many parts are taken. (1 pt)
True
False
2. The fraction 5/5 is a proper fraction. (1 pt)
True
False
3. When the denominator gets larger while the numerator stays 1, the fractional part gets smaller. (1 pt)
True
False
4. On a number line, 2/7 is to the right of 3/7. (1 pt)
True
False
5. The fraction 4/3 is greater than 1. (1 pt)
True
False
6. To show 1/10 between 0 and 1 on a number line, divide the segment into ten equal parts first. (1 pt)
True
False
7. 2 × (1/5) equals 1/10. (1 pt)
True
False
8. The fractions 3/8 and 9/24 name the same amount. (1 pt)
True
False
9. A fractional unit must come from equal shares of the whole. (1 pt)
True
False
10. In 3/4, the denominator is 3. (1 pt)
True
False

11. Which part of 7/9 tells into how many equal parts the whole is divided? (2 pts)
A. 7
B. 9
C. Both numbers
D. Neither number
12. Which fraction is the largest? (2 pts)
A. 1/5
B. 1/4
C. 1/6
D. 1/8
13. Which fraction is equivalent to 2/3? (2 pts)
A. 8/14
B. 6/9
C. 9/15
D. 10/18
14. “Three times one-fourth” is written as: (2 pts)
A. 1/3
B. 3/4
C. 4/3
D. 3/8
15. A wooden rod is cut into 12 equal segments. Each segment is what fraction of the rod? (2 pts)
A. 1/6
B. 1/12
C. 12/1
D. 6/1
16. To accurately place 5/8 on a number line from 0 to 1, you should first divide the interval into: (2 pts)
A. 5 equal parts
B. 7 equal parts
C. 8 equal parts
D. 10 equal parts
17. Which statement is true about proper fractions? (2 pts)
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
18. How is 5/6 read aloud? (2 pts)
A. Five sixths
B. Five sevens
C. Five quarters
D. Five halves
19. Which scenario best describes measuring with fractional units? (2 pts)
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
20. As the denominator increases while the numerator stays 1, the size of each part: (2 pts)
A. Gets larger
B. Stays the same
C. Gets smaller
D. Becomes negative

21. The number below the bar in 3/7 is called the   . (2 pts)
22. Dividing a whole into equal parts creates   units. (2 pts)
23. The fraction 12/12 is equal to   . (2 pts)
24. The fraction 2/5 can also be read as "two   ." (2 pts)
25. On a number line, to mark 4/9, divide 0 to 1 into   equal parts first. (2 pts)
26. The fraction with numerator 9 and denominator 4 written as a mixed number is   . (2 pts)
27. Multiplying 1/3 by 9 gives   . (2 pts)
28. When comparing 1/8 and 1/3, the larger fraction is   . (2 pts)
29. A fraction with a numerator less than its denominator is called a   fraction. (2 pts)
30. If a ribbon is one unit long and folded into four equal parts, each part is   of the whole. (2 pts)

31. A smoothie recipe needs 3/4 cup of yogurt per batch. How much yogurt is needed for 3 batches? Show your working. (5 pts)
Working:
Answer:
32. A rope is 8 meters long. It is cut into pieces each 2/3 meter long. How many pieces are made? Show your working. (5 pts)
Working:
Answer:
33. 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. (5 pts)
Working:
Answer:
34. 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. (5 pts)
Working:
Answer:
35. 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. (5 pts)
Working:
Answer:
36. 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. (5 pts)
Working:
Answer:
37. A board is 2 meters long. A carpenter removes 3/8 meter from one end. How long is the board now? Show your working. (5 pts)
Working:
Answer:
38. There are 5 sandwiches shared equally among 8 students. How much sandwich does each student receive? Show your working. (5 pts)
Working:
Answer:
39. Leena has 18 marbles. She gives 2/3 of them to her cousin. How many marbles does she give away? Show your working. (5 pts)
Working:
Answer:
40. 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. (5 pts)
Working:
Answer: