PM Review — Fractions

Question 1 Difficulty 1

Draw a pizza cut into 8 equal slices. How many slices do you have?

A 6
B 8
C 4
D 2

💡 Explanation The pizza is cut into 8 equal slices, so the total number of slices is 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 2 Difficulty 1

Draw a bar model divided into 4 equal parts. Shade 1 part.

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

💡 Explanation Shading 1 out of 4 parts represents the fraction 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 3 Difficulty 1

Draw a number line from 0 to 1 and mark 1/2.

A 0.5
B 1
C 1/4
D 3/4

💡 Explanation On the number line, 1/2 is located at the midpoint, which is 0.5.

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 4 Difficulty 1

Draw a pizza cut into 6 equal slices. Show 2 slices remaining.

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

💡 Explanation If there are 2 slices remaining out of 6, it represents the fraction 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 5 Difficulty 1

Draw a bar model divided into 8 equal parts. Shade 5 parts.

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

💡 Explanation Shading 5 out of 8 parts represents the fraction 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 6 Difficulty 1

Draw a number line from 0 to 1 and mark 1/4.

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

💡 Explanation On the number line, 1/4 is located one-fourth of the way from 0 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 7 Difficulty 1

Draw a pizza cut into 10 equal slices. Show 3 slices remaining.

A 3/10
B 7/10
C 5/10
D 1/10

💡 Explanation If there are 3 slices remaining out of 10, it represents the fraction 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 8 Difficulty 1

Draw a bar model divided into 5 equal parts. Shade 2 parts.

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

💡 Explanation Shading 2 out of 5 parts represents the fraction 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 9 Difficulty 1

Draw a number line from 0 to 1 and mark 3/4.

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

💡 Explanation On the number line, 3/4 is located three-fourths of the way from 0 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 10 Difficulty 1

Draw a pizza cut into 12 equal slices. Show 4 slices remaining.

A 4/12
B 8/12
C 6/12
D 2/12

💡 Explanation If there are 4 slices remaining out of 12, it represents the fraction 4/12.

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 11 Difficulty 2

Draw a pizza with 8 slices, then show 5 slices eaten. What fraction is left?

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

💡 Explanation If 5 slices are eaten, 3 slices are left out of 8, which is 3/8.

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 12 Difficulty 2

Draw a bar model divided into 6 equal parts. Shade 4 parts and find the fraction.

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

💡 Explanation Shading 4 out of 6 parts gives the fraction 4/6.

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 13 Difficulty 2

Draw a number line from 0 to 1. Mark and label 1/3 and 2/3.

A 0, 1/3, 2/3, 1
B 1/2, 1/3, 2/3
C 1/4, 1/3, 1/2
D 0, 1/4, 1/2

💡 Explanation The correct placement on the number line includes 0, 1/3, 2/3, and 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 14 Difficulty 2

Draw a pizza with 10 slices and show 6 slices eaten. What fraction is left?

A 4/10
B 6/10
C 3/10
D 2/10

💡 Explanation If 6 slices are eaten, 4 slices are left out of 10, which is 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 15 Difficulty 2

Draw a bar model divided into 5 equal parts. Shade 3 parts. What fraction is represented?

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

💡 Explanation Shading 3 out of 5 parts gives the fraction 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 16 Difficulty 2

Draw a number line from 0 to 1 and mark 2/5.

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

💡 Explanation 2/5 is located two-fifths of the distance from 0 to 1 on the number line.

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

Draw a pizza with 12 slices and show 8 slices eaten. What fraction is left?

A 4/12
B 8/12
C 3/12
D 2/12

💡 Explanation If 8 slices are eaten, 4 slices are left out of 12, which is 4/12.

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 18 Difficulty 2

Draw a bar model divided into 10 equal parts. Shade 7 parts. What fraction is represented?

A 7/10
B 3/10
C 4/10
D 1/10

💡 Explanation Shading 7 out of 10 parts gives the fraction 7/10.

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 19 Difficulty 2

Draw a number line from 0 to 1 and mark 3/5.

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

💡 Explanation 3/5 is located three-fifths of the distance from 0 to 1 on the number line.

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

Draw a pizza with 8 slices and show 2 slices eaten. What fraction remains?

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

💡 Explanation If 2 slices are eaten from 8, 6 slices remain, which is 6/8.

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 21 Difficulty 3

Add 1/4 + 2/4. Draw a bar model to verify.

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

💡 Explanation Adding 1/4 and 2/4 gives 3/4, which can be verified by shading the bar model.

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

Add 1/3 + 1/3. Draw a bar model to verify.

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

💡 Explanation Adding 1/3 and 1/3 gives 2/3, which can be verified by shading the bar model.

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

Add 2/5 + 1/5. Draw a bar model to verify your answer.

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

💡 Explanation Adding 2/5 and 1/5 gives 3/5, verified by shading the bar model.

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

Add 1/2 + 1/4. Convert 1/4 to a common denominator and draw to verify.

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

💡 Explanation Converting 1/4 to 2/4, then adding gives 3/4, verified by the drawing.

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

Add 3/8 + 1/8. Draw a bar model to verify your answer.

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

💡 Explanation Adding 3/8 and 1/8 gives 4/8, which can be verified by shading the bar model.

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

Add 1/6 + 1/3. Convert 1/3 to 2/6 and draw to verify.

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

💡 Explanation Converting 1/3 to 2/6, then adding gives 3/6, verified by the drawing.

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

Add 2/4 + 1/8. Draw a bar model to find the sum.

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

💡 Explanation Converting 2/4 to 4/8, then adding gives 5/8, verified by the drawing.

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

Add 1/5 + 2/10. Convert 1/5 to 2/10 and verify by drawing.

A 1/2
B 3/10
C 1/5
D 4/10

💡 Explanation Converting 1/5 to 2/10, then adding gives 3/10, verified by the drawing.

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

Add 1/3 + 2/6. Convert 1/3 to 2/6 and verify by drawing.

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

💡 Explanation Converting 1/3 to 2/6, then adding gives 3/6, verified by the drawing.

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

Add 3/10 + 1/5. Convert 1/5 to 2/10 and verify by drawing.

A 4/10
B 5/10
C 1/2
D 6/10

💡 Explanation Converting 1/5 to 2/10, then adding gives 5/10, verified by the drawing.

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

Add 1/4 + 2/5. Convert to a common denominator and draw to verify.

A 13/20
B 9/20
C 7/20
D 8/20

💡 Explanation Converting to common denominator gives 5/20 + 8/20 = 13/20, verified by the drawing.

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

Add 3/8 + 5/12. Convert to a common denominator and verify by drawing.

A 43/24
B 29/24
C 25/24
D 33/24

💡 Explanation Finding common denominator gives 9/24 + 15/24 = 24/24, verified by the drawing.

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

Add 2/3 + 5/6. Convert to a common denominator and draw to verify.

A 9/6
B 7/6
C 8/6
D 3/6

💡 Explanation Finding common denominator gives 4/6 + 5/6 = 9/6, verified by the drawing.

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

Add 1/2 + 1/3. Convert to a common denominator and verify by drawing.

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

💡 Explanation Finding common denominator gives 3/6 + 2/6 = 5/6, verified by the drawing.

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

Add 3/5 + 1/2. Convert to a common denominator and draw to verify.

A 13/10
B 11/10
C 8/10
D 6/10

💡 Explanation Finding common denominator gives 6/10 + 5/10 = 11/10, verified by the drawing.

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

Add 4/7 + 2/3. Convert to a common denominator and draw to verify.

A 26/21
B 34/21
C 38/21
D 32/21

💡 Explanation Finding common denominator gives 12/21 + 14/21 = 26/21, verified by the drawing.

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

Add 5/8 + 3/10. Convert to a common denominator and verify by drawing.

A 59/40
B 53/40
C 49/40
D 45/40

💡 Explanation Finding common denominator gives 25/40 + 12/40 = 37/40, verified by the drawing.

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

Add 1/6 + 1/4. Convert to a common denominator and verify by drawing.

A 5/12
B 7/12
C 3/12
D 4/12

💡 Explanation Finding common denominator gives 2/12 + 3/12 = 5/12, verified by the drawing.

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

Add 2/5 + 3/8. Convert to a common denominator and verify by drawing.

A 31/40
B 29/40
C 27/40
D 25/40

💡 Explanation Finding common denominator gives 16/40 + 15/40 = 31/40, verified by the drawing.

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

Add 3/4 + 1/6. Convert to a common denominator and verify by drawing.

A 11/12
B 13/12
C 17/12
D 5/12

💡 Explanation Finding common denominator gives 9/12 + 2/12 = 11/12, verified by the drawing.

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?