Little Newtons · Class 6 · Word Problems with Addition · Grade 1 · NYC Math Class

Word Problems with Addition — Drawing the Picture (Little Newtons Class 6, Grade 1) — 25 Practice Questions with Hidden Answers

A grade 1 classroom-ready lesson on solving addition word problems by drawing a picture first. Includes theory on the four picture types (circles, cubes, tally marks, part-part-whole bar), the words that signal addition, and how to write an equation from the drawing. Plus 25 practice questions with click-to-reveal step-by-step answers. Built for the SOMATH Little Newtons class (grade 1) on the Upper West Side of Manhattan.

· By the SOMATH team · 226 W 79th St, UWS · (646) 668-6151

This is Class 6 of the SOMATH Little Newtons arc for grade 1. In Classes 1–5 we built number sense to 20, place value, the make-ten strategy, doubles/near-doubles, and subtraction within 20. Class 6 is where those number facts finally meet real-world thinking: a story is read aloud, and the child has to figure out what math to do.

The single most important habit we teach in Little Newtons: before writing any numbers, draw a picture. The picture makes the math visible. Once the picture is drawn, the equation practically writes itself.

Every question below has a hidden button that reveals the answer and the picture the child should have drawn, so a parent can practice together and then check the thinking. Written by the same team that teaches Little Newtons at SOMATH, a math-focused school on the Upper West Side of NYC run by cofounder Marcelo Ambrozio (Northwestern) and cofounder Vivianne Wright (Harvard).

How to use this in a 1st grade class (40–50 min):
  1. Warm-up: quick addition facts within 10, then within 20 (5 min).
  2. Teach the four picture types on the board with one example each (10 min).
  3. Model the 4-step routine (read → draw → count → write the equation) with two problems (10 min).
  4. Students work through the 25 questions with the answers hidden (15 min).
  5. Reveal answers together, ask students to explain their picture (10 min).

1. What is an addition word problem?

Two groups → one total

An addition word problem is a short story where you have two groups (sometimes three) and you have to find the total. Nothing is being taken away. Nothing is being shared. You are putting things together.

Examples of the story shape:

  • Anna has 4 stickers. Ben gives her 3 more stickers. How many stickers in all?
  • There are 6 red apples and 2 green apples on the table. How many apples altogether?
  • Sam saw 5 birds in the morning and 4 birds in the afternoon. How many birds did he see total?

Every one of these has the same math underneath: group 1 + group 2 = total. In grade 1 both groups are usually below 10, and the total stays within 20.

2. The 4-step routine: read, draw, count, write

The habit we teach every day

Every Little Newtons word-problem lesson uses the same four steps — forever. It becomes automatic by grade 2.

  1. Read the problem out loud, slowly. If your child reads it silently, they miss half of it. First graders read best with their mouth.
  2. Draw the picture. One shape for each thing. Two groups → two clusters of shapes.
  3. Count all the shapes together. Point with your finger. Say the count out loud.
  4. Write the equation with the label. 4 apples + 3 apples = 7 apples.
Example: 4 apples + 3 apples Group 1: ● ● ● ● Group 2: ● ● ● Total: ● ● ● ● ● ● ● → 7 Equation: 4 + 3 = 7

The label matters. “7” is a number. “7 apples” is a math answer. Grade 1 is where we teach that answers have units.

3. The four picture types

Pick the picture that fits the problem

Four pictures cover almost every grade 1 addition word problem. Let your child pick the one they like best — they’ll settle on a favorite. Only push a different picture when the problem needs it (see below).

A) Circles (or dots) — the default

Draw one circle for each item. Put a small gap between the two groups so it’s clear where one ends and the other begins.

5 red balls + 3 blue balls Reds: ● ● ● ● ● Blues: ○ ○ ○ Total: 8 balls

B) Cubes or blocks — when the child has manipulatives

Same as circles, but the child physically stacks unifix cubes or LEGO bricks in two colors. Perfect for very early grade 1, when drawing is still slow.

C) Tally marks — best for numbers above 10

One line for each item. Group every 5 with a diagonal slash. Tally marks are faster than circles once the numbers get past 10.

8 kids + 6 kids Group 1: |||| |||| Group 2: |||| | Total: 14 kids

D) Part – Part – Whole bar — when the two groups are related

The bar model (also called a “tape diagram”) shows the two groups as parts of one whole rectangle. It’s the picture that carries through to grade 2, 3, and 4 math — the earlier your child sees it, the smoother the years ahead.

Bar model: 6 boys + 4 girls +-----------------+ Whole: | ? kids | +-----------------+ | 6 boys | 4 girls| +---------+--------+

4. Words that signal addition

The vocabulary of “put together”

Grade 1 word problems tend to use one of these phrases. If you hear them, addition is very likely the operation.

Signal phraseExample
in all“How many apples in all?”
altogether“How many students altogether?”
total“What is the total?”
combined“Their combined score is…”
joined / joined by“3 more kids joined the game.”
together“How many do they have together?”
and… how many now?“She had 5 and got 2 more. How many now?”
both“How many crayons do both children have?”

Warning: signal words are a hint, not a rule. A first grader can still misread “in all” if the picture doesn’t match. Always confirm by asking: “Are we putting things together, or taking some away?”

5. Part – Part – Whole thinking

The idea behind every addition problem

Every addition word problem in grade 1 has the same underlying shape:

part + part = whole

The two “parts” are the two given numbers. The “whole” is what you’re solving for. When your child gets stuck, ask three questions in order:

  1. “What are the two parts?” (label them out loud)
  2. “Are we putting them together?” (yes → addition)
  3. “What’s the whole?” (draw the picture, count)

This vocabulary — part, part, whole — shows up in every Common Core grade 1 textbook and stays with the child through grade 3 fractions. Introduce it early.

6. Common grade 1 mistakes (and how to fix them)

Six mistakes teachers see over and over

  1. Adding the numbers in the problem without reading it. Grade 1 students see “3” and “5” in the sentence and just add. Fix: always ask them to read the whole problem back to you before touching a pencil.
  2. Drawing the wrong number of circles. Off-by-one is the most common counting error. Fix: have the child touch each circle as they count.
  3. Forgetting the label. Answer of “8” instead of “8 apples.” Fix: write the label first in the equation.
  4. Ignoring extra information. Some problems include a number that isn’t part of the math (a distractor). Fix: circle only the numbers you need for the picture.
  5. Confusing “more” with “more than.” “3 more” means add 3. “3 more than 5” also means add 3. Both add.
  6. Guessing from signal words alone. The picture is the check. If a child can’t draw the story, they don’t understand it — regardless of what signal word appeared.

25 practice questions

Read each problem out loud. Draw a picture. Count. Then click the button to reveal the answer with the picture your child should have drawn.

Question 1

Mia has 3 apples. Her mom gives her 2 more apples. How many apples does Mia have in all?

Answer: 5 apples

Draw 3 circles for Mia’s apples, then 2 more circles for the ones her mom gave her.

Mia: ● ● ● Mom: ● ● Total: ● ● ● ● ● → 5 3 + 2 = 5 apples

Question 2

There are 4 red balloons and 5 blue balloons at a birthday party. How many balloons are there altogether?

Answer: 9 balloons

Two colors → draw two rows of circles.

Red: ● ● ● ● Blue: ○ ○ ○ ○ ○ Total: 9 4 + 5 = 9 balloons

Question 3

Leo saw 6 fish in one tank and 3 fish in another tank. How many fish did Leo see in total?

Answer: 9 fish

Two tanks → two groups of circles, then count them all.

Tank 1: ● ● ● ● ● ● Tank 2: ● ● ● Total: 9 6 + 3 = 9 fish

Question 4

There are 7 kids on the swings and 5 kids on the slide. How many kids are on the playground?

Answer: 12 kids

Numbers are getting bigger — tally marks work well here. Group by 5s.

Swings: |||| || Slide: |||| Total: |||| |||| || → 12 7 + 5 = 12 kids

Question 5

Sara had 8 stickers. Her friend gave her 4 more. How many stickers does she have now?

Answer: 12 stickers

“How many now?” means the total after getting more. Add.

Sara had: |||| |||| Friend: |||| Total: |||| |||| || → 12 8 + 4 = 12 stickers

Question 6

A jar has 5 red candies and 6 yellow candies. How many candies are in the jar?

Answer: 11 candies

This is a doubles-plus-one fact from Class 4: 5 + 6 is the same as 5 + 5 + 1 = 11.

Red: ● ● ● ● ● Yellow: ○ ○ ○ ○ ○ ○ Total: 11 5 + 6 = 11 candies

Question 7

There are 9 birds on a tree. 3 more birds come and sit on the tree. How many birds are on the tree now?

Answer: 12 birds

Use the make-ten strategy from Class 3: 9 + 3 = 9 + 1 + 2 = 10 + 2 = 12.

Started: |||| |||| More: ||| Total: |||| |||| || → 12 9 + 3 = 12 birds

Question 8

Ben has 7 toy cars. His brother has 7 toy cars. How many toy cars do they have together?

Answer: 14 toy cars

This is a doubles fact from Class 4: 7 + 7 = 14.

Ben: |||| || Brother: |||| || Total: |||| |||| |||| → 14 7 + 7 = 14 toy cars

Question 9

There are 10 pencils in a box and 4 pencils on the desk. How many pencils are there in all?

Answer: 14 pencils

Adding to 10 is easy: 10 + 4 = 14. Say it as “ten and four.”

Box: |||| |||| Desk: |||| Total: |||| |||| |||| → 14 10 + 4 = 14 pencils

Question 10

Emma read 2 books on Monday, 3 books on Tuesday, and 1 book on Wednesday. How many books did she read in all?

Answer: 6 books

Three groups — three rows of circles. Add them all.

Mon: ● ● Tue: ● ● ● Wed: ● Total: 6 2 + 3 + 1 = 6 books

Question 11

A pond has 4 ducks. Then 2 more ducks swim in. Then 3 more ducks come. How many ducks are in the pond?

Answer: 9 ducks

Three groups again. Add them in order.

Started: ● ● ● ● First 2: ○ ○ Then 3: ● ● ● Total: 9 4 + 2 + 3 = 9 ducks

Question 12

In a class there are 8 boys and 9 girls. How many students are in the class in total?

Answer: 17 students

Bar model works well — boys and girls are the two parts of one whole.

+--------------------+ Total | 17 students | +--------------------+ | 8 boys | 9 girls | +---------+----------+ 8 + 9 = 17 students

Question 13

Jack picked 6 flowers in the morning and 8 flowers in the afternoon. How many flowers did Jack pick that day?

Answer: 14 flowers

Use make-ten: 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14.

Morning: |||| | Afternoon: |||| ||| Total: |||| |||| |||| → 14 6 + 8 = 14 flowers

Question 14

A parking lot has 11 cars. Then 4 more cars park. How many cars are in the lot now?

Answer: 15 cars

This crosses over 10, but tally marks make it visible. Add ones to ones: 11 + 4 = 15.

Started: |||| |||| | More: |||| Total: |||| |||| |||| | → 15 11 + 4 = 15 cars

Question 15

There are 5 apples in a basket. Then Grandma adds 7 more apples. How many apples are in the basket now?

Answer: 12 apples

Make-ten: 7 + 5 = 7 + 3 + 2 = 10 + 2 = 12.

Basket: ● ● ● ● ● Grandma: ○ ○ ○ ○ ○ ○ ○ Total: 12 5 + 7 = 12 apples

Question 16

Tom has 9 marbles and his sister has 5 marbles. How many marbles do they have combined?

Answer: 14 marbles

“Combined” is a signal word for addition. Make-ten: 9 + 5 = 10 + 4 = 14.

Tom: |||| |||| Sister: |||| Total: |||| |||| |||| → 14 9 + 5 = 14 marbles

Question 17

Careful reader: Lily has 4 red crayons, 3 blue crayons, and 2 green crayons. How many crayons does Lily have?

Answer: 9 crayons

Three colors — three groups.

Red: ● ● ● ● Blue: ● ● ● Green: ● ● Total: 9 4 + 3 + 2 = 9 crayons

Question 18

There are 6 dogs and 4 cats at the pet park. How many animals are at the park?

Answer: 10 animals

Both dogs and cats count as animals. Add them together. 6 + 4 = 10 (a make-ten pair).

Dogs: ● ● ● ● ● ● Cats: ○ ○ ○ ○ Total: 10 animals 6 + 4 = 10 animals

Question 19

Extra info! Max has 3 dollars in his pocket, 2 pencils in his bag, and finds 4 more dollars on the sidewalk. How much money does Max have in all?

Answer: 7 dollars

The 2 pencils are a distractor — they aren’t money. Circle only the dollar numbers.

Pocket: ● ● ● Sidewalk: ● ● ● ● Total: 7 3 + 4 = 7 dollars (2 pencils = not money, don't add)

Question 20

Ana had 7 grapes. Her dad gave her 6 more. How many grapes does she have now?

Answer: 13 grapes

Make-ten: 7 + 6 = 7 + 3 + 3 = 10 + 3 = 13. Or think of it as doubles-plus-one from 6 + 6.

Ana: |||| || Dad: |||| | Total: |||| |||| ||| → 13 7 + 6 = 13 grapes

Question 21

There are 10 kids on the bus. At the next stop, 6 more kids get on. How many kids are on the bus now?

Answer: 16 kids

Adding to 10 — just place the ones next to the ten. 10 + 6 = 16.

Bus: |||| |||| More: |||| | Total: |||| |||| |||| | → 16 10 + 6 = 16 kids

Question 22

A fruit bowl has 5 bananas, 4 oranges, and 3 pears. How many pieces of fruit are in the bowl?

Answer: 12 pieces of fruit

Three groups. Add them in order. Look for a pair that makes 10: 5 + 4 + 3 = 5 + (4 + 3) = 5 + 7 = 12. Or (5 + 3) + 4 = 8 + 4 = 12.

Bananas: ● ● ● ● ● Oranges: ● ● ● ● Pears: ● ● ● Total: 12 5 + 4 + 3 = 12 fruits

Question 23

Challenge: Sam had 4 cookies. His grandma baked double that many for him. How many cookies did his grandma bake, and how many cookies does Sam have in all?

Answer: Grandma baked 8 cookies. Sam has 12 cookies in all.

“Double 4” means 4 + 4 = 8 — that’s how many Grandma baked. Then add Sam’s original 4 to get his total.

Sam had: ● ● ● ● Grandma: ○ ○ ○ ○ ○ ○ ○ ○ (double = 4 + 4 = 8) Total: 12 4 + 4 = 8 baked 4 + 8 = 12 cookies in all

Question 24

Missing addend: Zoe has 5 books. Her friend gives her some more books. Now Zoe has 9 books. How many books did her friend give her?

Answer: 4 books

Zoe went from 5 to 9. Draw 5 circles for what she had, then draw more circles one at a time until you get to 9. Count only the new circles.

Zoe had: ● ● ● ● ● Add more: ○ ○ ○ ○ (count 6, 7, 8, 9) Total: 9 5 + ? = 9 → ? = 4 Friend gave 4 books.

Question 25

Word problem with a twist: There are 3 kids at the table. Each kid has 2 juice boxes. How many juice boxes are there in all?

Answer: 6 juice boxes

This is the very first “equal groups” problem — a preview of multiplication. But grade 1 solves it by adding: 2 + 2 + 2 = 6.

Kid 1: ● ● Kid 2: ● ● Kid 3: ● ● Total: 6 2 + 2 + 2 = 6 juice boxes

Answer key summary

Q#AnswerQ#AnswerQ#Answer
15 apples106 books197 dollars
29 balloons119 ducks2013 grapes
39 fish1217 students2116 kids
412 kids1314 flowers2212 fruits
512 stickers1415 cars238 baked; 12 total
611 candies1512 apples244 books
712 birds1614 marbles256 juice boxes
814 toy cars179 crayons
914 pencils1810 animals

About SOMATH & Little Newtons

SOMATH — School of Math is a math-focused school on the Upper West Side of Manhattan for students in grades 1–12. Little Newtons is our grade 1 program, a 24-class arc covering number sense to 100, addition and subtraction within 20, place value, shapes, measurement, time, money, skip counting, and two-digit computation — the full Common Core Grade 1 scope with SOMATH’s picture-first problem-solving habit built in. This post is Class 6 of that arc.

Classes are taught by cofounder Marcelo Ambrozio (Northwestern-trained, 15+ years teaching math in NYC) and the SOMATH team.

Location: 226 W 79th St, 1st Floor, New York, NY 10024 (Upper West Side)
Phone: (646) 668-6151
Email: hello@schoolofmath.us

Book a free evaluation for your child — we’ll assess where they are and place them in the right small group.

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