Grade 3 Math Practice Test: Unit Fractions and Parts of a Whole
- Unit Fractions and Parts of a Whole
- 10 questions
- 12 minutes
These 10 questions check what a fraction means: the bottom number tells how many equal parts make the whole, and the top number tells how many of those parts you have. Tip: the parts must be equal in size.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
A rectangle is divided into 4 equal parts. 3 of the parts are shaded. What fraction of the rectangle is shaded?
Correct answer: D
There are 4 equal parts and 3 are shaded, so the fraction is 3/4. 4/3 puts the numbers in the wrong places.
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Question 2
What does the fraction 16 mean?
Correct answer: A
1/6 is one part when a whole is split into 6 equal parts. The parts must be the same size, so "parts of any size" is wrong.
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Question 3
How many copies of 18 make 58?
Correct answer: C
5/8 is 5 parts that are each 1/8, so 5 copies of 1/8 make 5/8. The 8 tells the size of each part, not how many there are.
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Question 4
Which fraction is equal to 1 whole?
Correct answer: C
4/4 means all 4 of the 4 equal parts, which is the whole thing. 4/1 is 4 wholes, and 4/8 is half of a whole.
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Question 5
Which fraction is equal to the whole number 3?
Correct answer: B
3/1 means 3 wholes, each cut into just 1 part, so it equals 3. 3/3 equals 1 whole, not 3.
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Question 6
A pizza is cut into 8 equal slices. Tom eats 3 slices. What fraction of the pizza is left?
Correct answer: C
8 − 3 = 5 slices are left out of 8 equal slices, so 5/8 of the pizza is left. 3/8 is the part Tom ate.
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Question 7
A paper strip is cut into 3 equal parts. Which fraction names one of the parts?
Correct answer: B
One of 3 equal parts is 1/3. 3/3 would be all of the strip.
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Question 8
Which of these is a unit fraction?
Correct answer: A
A unit fraction has 1 as its top number, so 1/5 is a unit fraction. 2/5 is made of two unit fractions, 1/5 + 1/5.
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Question 9
Kai cuts a fruit bar into 6 equal pieces and eats all 6 pieces. What fraction of the fruit bar did he eat?
Correct answer: A
He ate 6 of the 6 equal pieces, which is 6/6, the whole bar. 6/1 would mean 6 whole fruit bars.
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Question 10
Rosa cuts a square into 4 pieces that are not the same size. She says each piece is one fourth of the square. Why is Rosa wrong?
Correct answer: D
To show fourths, a whole must be split into 4 equal parts. Rosa has 4 pieces, but they are not equal, so they are not fourths. A square can show fourths when it is cut fairly.
Questions you leave blank are not counted as wrong.
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