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Free Math Foundations practice test — Grade 2

10 original Math Foundations-style questions for Grade 2, 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 7 apples. There are four times as many cherries. How many cherries?
  1. A14
  2. B35
  3. C11
  4. D28
Show answer & explanation

Correct answer: D

Four times as many means 7 × 4 = 28.

Question 2Picture Math
Count the pictures. How many are there in all?
  1. A2
  2. B6
  3. C8
  4. D4
Show answer & explanation

Correct answer: B

Count them all: 4 + 2 = 6.

Question 3Word Problems
Sam shares 9 volleyballs equally among 3 friends. How many does each friend get?
  1. A3
  2. B9
  3. C2
  4. D4
Show answer & explanation

Correct answer: A

Share equally: 9 ÷ 3 = 3 each.

Question 4Picture Math
Count the pictures. How many are there in all?
  1. A6
  2. B2
  3. C5
  4. D7
Show answer & explanation

Correct answer: A

Count them all: 2 + 4 = 6.

Question 5Word Problems
Liam shares 18 bananas equally among 3 friends. How many does each friend get?
  1. A15
  2. B6
  3. C3
  4. D18
Show answer & explanation

Correct answer: B

Share equally: 18 ÷ 3 = 6 each.

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Question 6Picture Math
There are 6 keys and 2 gifts. How many MORE keys than gifts are there?
  1. A4
  2. B2
  3. C8
  4. D6
Show answer & explanation

Correct answer: A

"How many more" means subtract: 6 − 2 = 4.

Question 7Word Problems
Emma shares 4 strawberries equally among 2 friends. How many does each friend get?
  1. A3
  2. B1
  3. C4
  4. D2
Show answer & explanation

Correct answer: D

Share equally: 4 ÷ 2 = 2 each.

Question 8Picture Math
There are 3 trees. There are twice as many palm trees. How many palm trees?
  1. A5
  2. B9
  3. C7
  4. D6
Show answer & explanation

Correct answer: D

Twice as many means 3 × 2 = 6.

Question 9Word Problems
Mia had 9 snowmen and gave away 3. How many are left?
  1. A12
  2. B3
  3. C6
  4. D9
Show answer & explanation

Correct answer: C

Start with 9 and take away 3: 9 − 3 = 6.

Question 10Picture Math
There are 9 gorillas and 1 hippos. How many MORE gorillas than hippos are there?
  1. A10
  2. B8
  3. C1
  4. D9
Show answer & explanation

Correct answer: B

"How many more" means subtract: 9 − 1 = 8.

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

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