Free Grade 3 PARCC Math Practice: 20 Questions and Answers
This free page offers 20 unofficial math review questions under its original PARCC title, with an explanation after each answer. Two questions that were written-response on the older page now have answer choices. It is a short skill check, not a released official exam, a full-length test, or a prediction of a state-test score.
Before your child starts
Use paper and a pencil. Let your child explain a drawing, equation or mental strategy before looking at an answer. Break the set into two groups of ten if needed; there is no required timer for this review.
Check the level: This mixed set includes extension work. Questions 2, 4 and 7 use multiplication beyond the Grade 3 Common Core expectation of a one-digit number times a multiple of ten. Questions 8, 15 and 19 include fraction denominators beyond the Grade 3 set of 2, 3, 4, 6 and 8. Treat these as optional extensions if your child has not learned them. See the official Grade 3 base-ten standards and Grade 3 fraction standards for the scope.
Preparing for a current state assessment? Confirm the assessment name with your child’s school. Item types, timing and tool rules depend on the program. For example, Illinois provides its current IAR Grade 3 practice items through the official Illinois practice portal. This page does not reproduce that test or establish its rules.
20 math practice questions
Your child can answer the questions one at a time. Press Submit to see right away whether the answer is correct, with a short explanation. A score and a list of questions to review appear after question 20.
Even numbers always end with a digit of \(0, 2, 4, 6\) or \(8\).
So numbers \(30, 42, 18\) are just even numbers.
3 spaghetti with meatballs cost: \(3 × $10 = $30\)
2 bowls of bean soup cost: \(2 × $6 = $12\)
3 spaghetti with meatballs \(+\) 2 bowls of bean soup cost: \($30 + $ 12 = $42\)
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Therefore, rounded number of 745 to the nearest ten is 750.
\(1\) hour \(= 60\) minutes
\(6\) hours\( = 6 × 60\) minutes\(⇒ 6\) hours\( = 360\) minutes
The model for the fraction is divided into 100 equal parts. We shade 88 parts of these 100 parts that it’s equal to \(\frac{88}{100}\)
\(3 × 7 \space ⎕ \space 6 = 126\)
\(21\space ⎕\space 6= 126 ⇒ 126=21×6\)
Liam gave 455 of his marbles to his friend that means his marbles decreased then he lost 116 of his marbles that means his marbles decreased again.
The equation is 845 − 455 − 116.
If he eats 6 meals in 1 day
So in a week (7 days) he eats \((7 × 6 = 42)\) meals.
All these fractions; \(\frac{3}{9},\frac{5}{15},\frac{24}{72}\) after simplification are equivalent to \(\frac{1}{3}\).
This shape shows 3 completely shaded rectangles and half of another rectangle that is equal to \(3\frac{1}{2}\)
3 rows that have 13 red cards in each row means: \(3 × 13 = 39\) red cards
And there are 24 white cards on table too, so in total there are \(39 + 24 = 63\) cards on table
Quiz complete
Answers and explanations
Each explanation opens as soon as a question is submitted. Press Try again on the last screen to work through the set a second time.
Choose the next review step
For each missed question, note whether your child needed help with the operation, a fact, the wording or the diagram. Revisit that skill, then ask them to solve the original problem again and explain why their answer makes sense.
- Need one skill at a time? Choose a matching printable page from the Grade 3 worksheet collection.
- Want a broader review path? The Grade 3 Math Online Center brings together public lessons and study resources.
- For fraction questions, review how to compare fractions. For rounding and digit values, revisit place value.
Compare a Grade 3 study book
If your child needs a book alongside free practice, open the product page below and check its preview, format and contents before choosing. This is a general Grade 3 resource; it is not an official PARCC test.
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