PM Review — Fractions

Question 1 Difficulty 1

What is 1/2 + 1/2?

A 1/4
B 1
C 2/4
D 3/4

💡 Explanation When you add 1/2 and 1/2, you simply add the numerators: 1 + 1 = 2. The denominator remains the same, so the answer is 2/2, which simplifies to 1.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 2 Difficulty 1

What is the fraction for 5 out of 10?

A 1/2
B 5/10
C 1/5
D 10/5

💡 Explanation The fraction is written as the number of parts over the total parts, so 5 out of 10 is 5/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 3 Difficulty 1

How do you simplify 6/12?

A 1/2
B 2/3
C 3/6
D 4/6

💡 Explanation To simplify 6/12, divide both the numerator and the denominator by 6. This gives you 1/2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 4 Difficulty 1

Which of the following is an equivalent fraction to 2/4?

A 1/2
B 3/4
C 4/8
D 2/8

💡 Explanation 2/4 is equivalent to 4/8 because if you multiply both the numerator and denominator of 2/4 by 2, you get 4/8.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 5 Difficulty 1

What is 3/5 + 1/5?

A 4/5
B 2/5
C 1/5
D 5/5

💡 Explanation When adding fractions with the same denominator, add the numerators: 3 + 1 = 4. The denominator remains the same, so the answer is 4/5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 6 Difficulty 1

How many slices of a pizza are left if you have 3/8 and you eat 1/8?

A 3/8
B 2/8
C 1/8
D 4/8

💡 Explanation If you start with 3/8 and eat 1/8, you subtract: 3/8 - 1/8 = 2/8, which simplifies to 1/4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 7 Difficulty 1

What is the fraction for 2 out of 6 apples?

A 1/3
B 2/6
C 2/3
D 3/6

💡 Explanation The fraction is written as the number of apples you have over the total apples, so it's 2/6.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 8 Difficulty 1

If you have 5/10 of a chocolate bar and eat 2/10, how much is left?

A 2/10
B 3/10
C 4/10
D 5/10

💡 Explanation You subtract the amount eaten from what you had: 5/10 - 2/10 = 3/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 9 Difficulty 1

What is 1/3 + 1/3?

A 1
B 2/3
C 1/2
D 3/3

💡 Explanation Since the denominators are the same, add the numerators: 1 + 1 = 2, so it is 2/3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 10 Difficulty 1

Which fraction is greater: 1/4 or 1/8?

A 1/4
B 1/8
C They are equal
D None of the above

💡 Explanation 1/4 is greater than 1/8 because 1/4 represents two 1/8 parts.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 11 Difficulty 2

What is 1/2 + 1/4?

A 3/4
B 1/4
C 1/2
D 2/4

💡 Explanation To add these fractions, convert 1/2 to quarters: 1/2 = 2/4. Then, add: 2/4 + 1/4 = 3/4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 12 Difficulty 2

If 3/5 of a cake is left and you eat 1/5, how much is left?

A 1/5
B 2/5
C 3/5
D 4/5

💡 Explanation You subtract the amount eaten from what is left: 3/5 - 1/5 = 2/5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 13 Difficulty 2

How do you simplify the fraction 8/12?

A 2/3
B 3/8
C 4/6
D 1/2

💡 Explanation To simplify, divide both the numerator and denominator by 4: 8 ÷ 4 = 2, 12 ÷ 4 = 3, giving 2/3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 14 Difficulty 2

If you have 2/3 of a chocolate bar and you give away 1/6, how much do you have left?

A 1/2
B 3/6
C 4/6
D 5/6

💡 Explanation First, convert 2/3 to sixths: 2/3 = 4/6. Then subtract: 4/6 - 1/6 = 3/6, which simplifies to 1/2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 15 Difficulty 2

What is 5/8 + 1/4?

A 3/4
B 7/8
C 6/8
D 5/4

💡 Explanation Convert 1/4 to eighths: 1/4 = 2/8. Now add: 5/8 + 2/8 = 7/8.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 16 Difficulty 2

Which of these fractions is greater: 2/5 or 3/10?

A 2/5
B 3/10
C They are equal
D None of the above

💡 Explanation Convert 2/5 to tenths: 2/5 = 4/10. Since 4/10 is greater than 3/10, 2/5 is greater.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 17 Difficulty 2

What is 3/4 + 1/2?

A 5/4
B 5/6
C 7/8
D 3/2

💡 Explanation Convert 1/2 to quarters: 1/2 = 2/4. Now add: 3/4 + 2/4 = 5/4.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 18 Difficulty 2

How do you find the common denominator for 1/3 and 1/6?

A 6
B 3
C 9
D 12

💡 Explanation The least common multiple of 3 and 6 is 6, which will serve as the common denominator.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 19 Difficulty 2

What is 2/3 - 1/6?

A 1/2
B 3/6
C 4/6
D 5/6

💡 Explanation Convert 2/3 to sixths: 2/3 = 4/6. Now subtract: 4/6 - 1/6 = 3/6, which simplifies to 1/2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 20 Difficulty 2

If a cricket match is 3/4 complete and 1/4 of it is left to play, how much has been played?

A 1/4
B 3/4
C 1
D 2/4

💡 Explanation If 3/4 of the match is complete, then 3/4 has been played.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 21 Difficulty 3

What is 1/4 + 3/8?

A 5/8
B 7/8
C 1
D 1/2

💡 Explanation Convert 1/4 to eighths: 1/4 = 2/8. Now add: 2/8 + 3/8 = 5/8.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 22 Difficulty 3

How do you simplify 10/15?

A 2/3
B 1/2
C 3/5
D 4/5

💡 Explanation Divide both the numerator and denominator by 5: 10 ÷ 5 = 2, 15 ÷ 5 = 3, giving 2/3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 23 Difficulty 3

What is 5/6 + 1/3?

A 3/2
B 1
C 7/6
D 4/6

💡 Explanation Convert 1/3 to sixths: 1/3 = 2/6. Now add: 5/6 + 2/6 = 7/6.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 24 Difficulty 3

If 2/5 of a book is read and 1/5 more is read, what fraction of the book is read now?

A 3/5
B 1/2
C 1/4
D 4/5

💡 Explanation Add the fractions: 2/5 + 1/5 = 3/5.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 25 Difficulty 3

What is 4/9 - 2/9?

A 1/3
B 2/9
C 3/9
D 1/4

💡 Explanation Subtract the numerators: 4 - 2 = 2. The denominator remains the same, so it's 2/9.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 26 Difficulty 3

How do you find the common denominator for 2/3 and 3/4?

A 6
B 12
C 8
D 9

💡 Explanation The least common multiple of 3 and 4 is 12, which will serve as the common denominator.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 27 Difficulty 3

If a student scores 5/8 in one exam and 1/4 in another, what is the total score?

A 7/8
B 1
C 1/2
D 3/8

💡 Explanation Convert 1/4 to eighths: 1/4 = 2/8. Now add: 5/8 + 2/8 = 7/8.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 28 Difficulty 3

What is 3/10 + 1/5?

A 4/10
B 1
C 7/10
D 5/10

💡 Explanation Convert 1/5 to tenths: 1/5 = 2/10. Now add: 3/10 + 2/10 = 5/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 29 Difficulty 3

What is 6/8 - 1/4?

A 3/4
B 5/8
C 1/2
D 1/8

💡 Explanation Convert 1/4 to eighths: 1/4 = 2/8. Now subtract: 6/8 - 2/8 = 4/8, which simplifies to 1/2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 30 Difficulty 3

If you have 7/10 of a pizza and give away 3/10, how much is left?

A 4/10
B 5/10
C 3/10
D 1/10

💡 Explanation Subtract the fractions: 7/10 - 3/10 = 4/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 31 Difficulty 4

What is 1/2 + 2/3?

A 1/6
B 7/6
C 5/6
D 1

💡 Explanation Convert 1/2 to sixths: 1/2 = 3/6. Now add: 3/6 + 4/6 = 7/6.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 32 Difficulty 4

If you have 5/6 of a cake and eat 1/3, how much is left?

A 1/2
B 1/3
C 5/18
D 1/4

💡 Explanation Convert 1/3 to sixths: 1/3 = 2/6. Now subtract: 5/6 - 2/6 = 3/6, which simplifies to 1/2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 33 Difficulty 4

What is 3/5 + 3/10?

A 1/2
B 2/5
C 9/10
D 3/5

💡 Explanation Convert 3/5 to tenths: 3/5 = 6/10. Now add: 6/10 + 3/10 = 9/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 34 Difficulty 4

If you have 3/8 of a pizza and eat 1/4, how much is left?

A 1/8
B 1/2
C 5/8
D 3/8

💡 Explanation Convert 1/4 to eighths: 1/4 = 2/8. Now subtract: 3/8 - 2/8 = 1/8.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 35 Difficulty 4

What is 5/12 + 1/4?

A 2/3
B 3/4
C 11/12
D 4/12

💡 Explanation Convert 1/4 to twelfths: 1/4 = 3/12. Now add: 5/12 + 3/12 = 8/12, which simplifies to 2/3.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 36 Difficulty 4

If a student scored 4/5 in one test and 1/5 in another, what is the total score?

A 1
B 5/5
C 3/5
D 9/5

💡 Explanation Add the fractions: 4/5 + 1/5 = 5/5, which is equal to 1.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 37 Difficulty 4

What is 2/3 - 1/6?

A 1/2
B 3/6
C 5/6
D 1/3

💡 Explanation Convert 2/3 to sixths: 2/3 = 4/6. Now subtract: 4/6 - 1/6 = 3/6, which simplifies to 1/2.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 38 Difficulty 4

What is 7/8 + 1/16?

A 1
B 15/16
C 3/8
D 5/8

💡 Explanation Convert 7/8 to sixteenths: 7/8 = 14/16. Now add: 14/16 + 1/16 = 15/16.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 39 Difficulty 4

If you have 3/4 of a bottle and use 1/3 of it, how much is left?

A 1/4
B 1/2
C 5/12
D 2/3

💡 Explanation Convert 1/3 to twelfths: 1/3 = 4/12. Now subtract: 9/12 - 4/12 = 5/12.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 40 Difficulty 4

What is the sum of 2/5 and 1/2?

A 1
B 9/10
C 7/10
D 11/10

💡 Explanation Convert 1/2 to tenths: 1/2 = 5/10. Now add: 4/10 + 5/10 = 9/10.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?