Partitioning Shapes: Halves and Fourths — Answer Key
Part A: Multiple Choice
Circle the correct answer for each question.
1. A pizza is cut into 4 equal slices. Tom eats 2 slices. What fraction did he eat?
A) 1 fourth
B) 2 fourths
C) 3 fourths
D) 4 fourths
B is correct because Tom ate 2 out of 4 equal slices, which is 2 fourths.
2. Which fraction is greater: 12 or 14?
A) 14
B) They are equal
C) 12
D) Cannot tell
C is correct because 12 is greater than 14 — dividing into 2 parts gives larger pieces than dividing into 4 parts.
3. A rectangle has 8 equal parts. How many parts make one half?
A) 2
B) 3
C) 4
D) 6
C is correct because half of 8 equal parts is 4 parts.
4. A shape is divided into 3 equal parts. What is each part called?
A) A half
B) A third
C) A fourth
D) A whole
B is correct because when a shape is divided into 3 equal parts, each part is called a third.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Sam has 12 grapes and shares half with his friend. Each person gets 6 grapes.
12 divided by 2 equals 6 grapes for each person.
2. A cake is cut into 4 equal slices. Mia eats 1 slice and Ben eats 2. Together they ate 3 fourths.
1 slice plus 2 slices equals 3 slices out of 4, which is 3 fourths.
3. If half of a number is 5, the whole number is 10.
If half is 5, then the whole is 5 times 2, which equals 10.
4. Lily has 16 stickers and gives one fourth away. She gives away 4 stickers.
16 divided by 4 equals 4 stickers given away.
5. A ribbon is cut into halves. Then each half is cut into halves again. Now there are 4 equal pieces.
Cutting into 2 halves and then cutting each half into 2 pieces gives 2 times 2, which equals 4 pieces.