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Free Math Foundations practice test — Grade 3

10 original Math Foundations-style questions for Grade 3, with answers and full explanations. No signup needed.

Skill-building math practice for the early grades — number sense, operations, and problem solving that underpin every test your child will meet.

Every question includes a worked explanation, so a wrong answer becomes a mini-lesson.

Question 1Word Problems
There are 3 tomatoes. There are four times as many hamburgers. How many hamburgers?
  1. A12
  2. B15
  3. C7
  4. D6
Show answer & explanation

Correct answer: A

Four times as many means 3 × 4 = 12.

Question 2Picture Math
Count the pictures. How many are there in all?
  1. A15
  2. B2
  3. C3
  4. D8
Show answer & explanation

Correct answer: D

Count them all: 3 + 5 = 8.

Question 3Word Problems
Count the pictures. How many are there in all?
  1. A2
  2. B10
  3. C3
  4. D7
Show answer & explanation

Correct answer: D

Count them all: 2 + 5 = 7.

Question 4Picture Math
Count the pictures. How many are there in all?
  1. A12
  2. B7
  3. C4
  4. D1
Show answer & explanation

Correct answer: B

Count them all: 4 + 3 = 7.

Question 5Word Problems
There are 7 pineapples and 3 melons. How many MORE pineapples than melons are there?
  1. A7
  2. B4
  3. C10
  4. D3
Show answer & explanation

Correct answer: B

"How many more" means subtract: 7 − 3 = 4.

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Question 6Picture Math
Zoe starts with 8 foxes and uses 5. How many are left?
  1. A3
  2. B13
  3. C8
  4. D5
Show answer & explanation

Correct answer: A

Start with 8 and take away 5: 8 − 5 = 3.

Question 7Word Problems
There are 11 bears and 5 eagles. How many MORE bears than eagles are there?
  1. A6
  2. B11
  3. C16
  4. D5
Show answer & explanation

Correct answer: A

"How many more" means subtract: 11 − 5 = 6.

Question 8Picture Math
At the park there are 6 darts and 8 rugby balls. How many are there altogether?
  1. A2
  2. B48
  3. C14
  4. D15
Show answer & explanation

Correct answer: C

Add the two groups together: 6 + 8 = 14.

Question 9Word Problems
Count the pictures. How many are there in all?
  1. A1
  2. B2
  3. C6
  4. D5
Show answer & explanation

Correct answer: D

Count them all: 2 + 3 = 5.

Question 10Picture Math
Count the pictures. How many are there in all?
  1. A5
  2. B1
  3. C3
  4. D6
Show answer & explanation

Correct answer: A

Count them all: 3 + 2 = 5.

Math Foundations FAQ

How is this different from test prep?

It's the layer underneath: fluency and concepts. Strong foundations make any specific test format easy to learn.

More free Math Foundations practice

KindergartenGrade 1Grade 2Grade 4Grade 5🖨️ Printable Grade 3 pack (PDF) →Parent's guide to the Math Foundations →

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