Grade 2 · Math · Number sense

Grade 2 Math: Number Sense, Addition and Word Problems

Four focused practices with 24 original questions, worked explanations and common mistakes. Start with one skill, about 10–15 minutes.

Start with place value Try word problems Grade 2 writing

How to practiseRead the example, try each question, check the explanation, then explain one answer aloud. If an answer is wrong, find the step that changed the value.

See tens and ones, not just digits

4 tens + 6 ones = 46. One ten can be regrouped as ten ones, so 3 tens + 16 ones is also 46.

Grade 2 · Place value up to 200

Make tens and ones

In 146, the 4 means four tens. Draw the number with one hundred, four tens and six ones.

1. What is 1 hundred + 3 tens + 7 ones?

Choose one answer137173317

See the explanation

100 + 30 + 7 = 137.

2. Which number has 8 tens and 5 ones?

Choose one answer8055885

See the explanation

80 + 5 = 85.

3. In 162, what does the 6 mean?

Choose one answer6 ones6 tens6 hundreds

See the explanation

The 6 is in the tens place, so it means 60.

4. Which number is greatest?

Choose one answer129192119

See the explanation

All have 1 hundred; 9 tens is more than 2 or 1 ten.

5. What is ten more than 118?

Choose one answer119128218

See the explanation

118 + 10 = 128.

6. Which shows 105?

Choose one answer100 + 50100 + 510 + 5

See the explanation

One hundred, zero tens, five ones is 105.

Grade 2 · Addition and subtraction within 100

Add and subtract with a plan

Try making the next ten before counting by ones.

1. What is 38 + 7?

Choose one answer4531535

See the explanation

38 + 2 + 5 = 45.

2. What is 54 − 9?

Choose one answer634544

See the explanation

54 − 10 + 1 = 45.

3. What is 27 + 15?

Choose one answer324252

See the explanation

27 + 10 + 5 = 42.

4. What is 80 − 26?

Choose one answer645654

See the explanation

80 − 20 = 60; 60 − 6 = 54.

5. What number makes 46 + □ = 60?

Choose one answer141624

See the explanation

46 + 4 + 10 = 60, so the missing number is 14.

6. Which is the correct check for 33 − 18 = 15?

Choose one answer18 + 15 = 3333 + 18 = 1518 − 15 = 33

See the explanation

15 + 18 = 33 checks the subtraction.

Grade 2 · What is known and what is missing?

Read a short word problem

Circle the question, decide whether the amount grows or shrinks, and write the unit.

1. Mia has 14 stickers and gets 9 more. How many now?

Choose one answer5 stickers23 stickers24 stickers

See the explanation

14 + 9 = 23 stickers.

2. A box holds 32 pencils. Ten are used. How many remain?

Choose one answer22 pencils42 pencils12 pencils

See the explanation

32 − 10 = 22 pencils.

3. There are 12 red and 15 blue blocks. How many blocks in all?

Choose one answer3 blocks27 blocks12 blocks

See the explanation

12 + 15 = 27 blocks.

4. A library has 40 books on a shelf, then adds 6. How many books?

Choose one answer34 books46 books406 books

See the explanation

40 + 6 = 46 books.

5. Leo has 25 cards. His friend has 8 fewer. How many does his friend have?

Choose one answer33 cards17 cards18 cards

See the explanation

25 − 8 = 17 cards.

6. A class has 18 apples and shares 7. How many are left?

Choose one answer25 apples11 apples12 apples

See the explanation

18 − 7 = 11 apples.

Grade 2 · Patterns, skip counting and equal groups

See patterns and equal groups

Describe the rule using words before writing the next number.

1. What comes next: 5, 10, 15, 20, …?

Choose one answer212530

See the explanation

Add 5 each time, so 25 is next.

2. What comes next: 34, 32, 30, …?

Choose one answer282920

See the explanation

Subtract 2 each time, so 28 is next.

3. Three bags hold two apples each. How many apples total?

Choose one answer568

See the explanation

Three equal groups of two are six apples.

4. Which balances 8 + 5 = □ + 6?

Choose one answer678

See the explanation

8 + 5 = 13 and 7 + 6 = 13.

5. Two groups have five blocks each. Which sum shows the total?

Choose one answer2 + 55 + 55 − 2

See the explanation

5 + 5 = 10 blocks in two equal groups.

6. What comes next: 2, 4, 6, 8, …?

Choose one answer91012

See the explanation

Add 2, so the next number is 10.

What should we try next?

If place value and addition are steady, use a two-step word problem. If the child still counts every object from one, repeat one small unit rather than rushing ahead.

Next: two-step word problems Next: Grade 2 writing