Free 3rd Grade MAP Math Practice Test with Answers

Third grade is the year multiplication becomes the engine of everything. Times tables, division as the same facts run backward, and the first meeting with fractions as numbers rather than slices of pizza. What settles this year carries the next five.

Start the 14-question grade 3 check below, or try the sample questions first: each one comes with a worked explanation.

Start the grade 3 check →14 questions, about 15 minutes, no sign-up.

Your child answers on screen, finds out straight away whether each one is right with a short explanation of why, and gets a summary by topic at the end.

Sample grade 3 questions

Sample question 1 · Multiply one-digit numbers by multiples of 10

Coach Bell orders 7 baskets of apples. Each basket holds 60 apples. How many apples does Coach Bell order in all?

  1. 420
  2. 67
  3. 4200
  4. 42
Show the answer and explanation

Answer: 420.

7 × 60 = 420. The wrong answers are real slips: 42 drops the zero, 67 adds, and 4200 doubles the zero.

Sample question 2 · Compare fractions with same numerator or denominator

Both fractions describe parts of the same-sized whole. Use <, >, or = to make the statement true.

7/8 ____ 3/8

  1. <
  2. >
  3. =
Show the answer and explanation

Answer: >.

Same denominator means the pieces are the same size, so the fraction with more pieces is greater. Since 7 > 3, we have 7/8 > 3/8.

Sample question 3 · Tell time and solve time interval problems

The chart shows the minutes for each field day activity.

Egg toss: 43 minutes
Kickball: 17 minutes
Races: 30 minutes
Tag: 20 minutes

Which two activities take a total of exactly one hour?

  1. Races and Tag
  2. Kickball and Tag
  3. Egg toss and Races
  4. Egg toss and Kickball
Show the answer and explanation

Answer: Egg toss and Kickball.

Egg toss (43) + Kickball (17) = 60 minutes — exactly one hour. The other pairs land over or under 60.

Sample question 4 · Understand unit fractions

A chocolate bar is broken into 4 equal squares. Liam eats exactly 1 square. Which fraction shows the part of the chocolate bar Liam ate?

  1. 1/4
  2. 4/1
  3. 1/3
  4. 3/4
Show the answer and explanation

Answer: 1/4.

The bar has 4 equal squares (denominator 4) and Liam ate 1 (numerator 1), so the fraction is 1/4.

Sample question 5 · Division as an unknown-factor problem

You know that 8 × 5 = 40. Use this fact to find 40 ÷ 8.

Your answer

Show the answer and explanation

Answer: 5.

40 ÷ 8 asks "8 × what = 40?" The given fact 8 × 5 = 40 answers it: 5. Every division is a missing-factor multiplication.

Sample question 6 · Understand and generate equivalent fractions

Write a fraction that is equal to 3/4 but has a different denominator.

Use a slash ( / ) to separate the numerator and denominator.

Your answer, as a fraction

Show the answer and explanation

Answer: 6/8 (also accepted: 9/12, 12/16).

Multiplying top and bottom by the same number keeps the amount: 3/4 = 6/8 = 9/12. Any of these (and more) are correct — there are infinitely many names for one amount.

Sample question 7 · Solve perimeter problems

Order these four shapes from the SMALLEST perimeter to the LARGEST perimeter:
- A square with each side 6 cm long
- A rectangle that is 8 cm long and 3 cm wide
- A triangle with three equal sides, each 9 cm long
- A rectangle that is 10 cm long and 4 cm wide

  1. Square with sides of 6 cm
  2. Rectangle 8 cm by 3 cm
  3. Triangle with sides of 9 cm
  4. Rectangle 10 cm by 4 cm
Show the answer and explanation

Answer: 1. Rectangle 8 cm by 3 cm, 2. Square with sides of 6 cm, 3. Triangle with sides of 9 cm, 4. Rectangle 10 cm by 4 cm.

Compute each perimeter by adding all the side lengths. Rectangle 8 by 3: 8+3+8+3 = 22 cm. Square with side 6: 6+6+6+6 = 24 cm. Triangle with three 9 cm sides: 9+9+9 = 27 cm. Rectangle 10 by 4: 10+4+10+4 = 28 cm. Ordering from smallest to largest: 22, 24, 27, 28, which is the rectangle 8 by 3, then the square, then the triangle, then the rectangle 10 by 4.

Sample question 8 · Fluently multiply and divide within 100

Complete the missing products in this multiplication table.

×346
2612
520
Show the answer and explanation

Answer: 8, 15, 30.

×346
26812
5152030

For each missing cell, multiply the row factor by the column factor:
• Row 2, column 4: 2 × 4 = 8.
• Row 5, column 3: 5 × 3 = 15.
• Row 5, column 6: 5 × 6 = 30.
The missing products are 8, 15, and 30.

Try the full grade 3 check — 14 more original questions with feedback after each one.

About these questions. These are original Helix Math questions designed to practice skills commonly assessed on adaptive math assessments such as MAP Growth. Helix Math is not affiliated with or endorsed by NWEA or HMH, and these are not official MAP questions.

What grade 3 math covers

Five areas, and one of them does most of the work.

Multiplication and division. The center of the year: times tables within 100, division as the unknown-factor question ("40 divided by 4" means "what times 4 makes 40?"), and two-step word problems that chain an operation onto another. Fluency here is what every later grade quietly assumes.

Fractions. The first year fractions are numbers with places on the number line, not just shaded pictures. Unit fractions, equivalence, and comparing fractions that share a numerator or a denominator. The idea that 1/6 is smaller than 1/4 because sixths are smaller pieces is the seed of everything grades 4 and 5 build.

Measurement and data. Telling time to the minute and working out intervals, measuring lengths to the quarter inch, and reading the line plots those measurements make.

Area and perimeter. Area arrives as counting unit squares, then as multiplication in disguise. Perimeter is adding every side, and keeping the two ideas apart is half the battle.

Geometry. Shape categories: what makes a quadrilateral a quadrilateral, and why a rhombus belongs even when it does not look like a rectangle.

If the times tables are automatic and fractions have places on a number line, the year usually goes well.

What the right answers don't show

Two of the questions ask for the same skill from opposite directions. One gives four shapes described in words and asks for them in order of perimeter, which means computing all four and comparing. Another asks which step comes first in a two-step muffin problem, which is not arithmetic at all: it is knowing what to do before doing it. Plenty of third graders who know every fact stall on the second kind.

The fraction sort is worth watching too. Putting 1/6, 1/4, 1/3 and 1/2 in order looks easy until a child sorts by denominator and gets it exactly backwards. That mistake is not carelessness; it is the whole-number rule applied where it no longer works, and it is the single most common grade 3 fraction slip.

Is your third grader ready for fall MAP testing?

Most schools give MAP Growth in a fall window, often late August into September. A third grader's fall score leans heavily on second-grade foundations, addition and subtraction fluency and place value, as much as on new grade 3 material.

Fourteen questions is a spot-check. The Helix diagnostic adjusts across many more skills and several difficulty levels, and comes back with a skill-by-skill map of what is secure, what is developing, and what to work on first.

Which grade should I choose?

Choose the grade whose material you want to practice. For review before a new school year, choose the grade your child just completed. Grade labels describe the material, not your child's ability.

Where to go next

MAP® and RIT® are registered trademarks of NWEA. Helix Math is not affiliated with or endorsed by NWEA.