3rd grade challenge word problems

A free printable sheet of 8 Grade 3 challenge word problems, with a hint for a grown-up under each one and an answer key worked out by Kizupi’s math engine. Press New sheet for another.

By The Kizupi team · Updated November 4, 2026

Grade 3 challenge word problems

Name: ____________________

Kizupi stacks square hay bales, 1 m on each side, into a staircase: 1 bale, then a stack of 2, then 3, and so on, up to 5. How long is a rope that goes all the way around the outside of the staircase?
Hint for a grown-up: Add up all the little steps going up. Now all the little steps going across.
How many numbers from 1 to 108 are multiples of both 4 and 7?
Hint for a grown-up: Is every number that is in both lists a multiple of that smallest one?
Three owls share a stack of pizzas. The first owl takes half of the pizzas. The second owl takes half of the pizzas that are left. The third owl takes the last 3. How many pizzas were in the stack?
Hint for a grown-up: The second owl took half of what was left, and the third owl got the other half. How many were there before the second owl?
5 kids run a race. In how many different ways can the gold and silver medals be given out?
Hint for a grown-up: How many kids could win gold? Once gold is taken, how many could win silver?
13 toys roll out of the factory. Some are robots on 3 wheels and the rest are toy cars on 4 wheels. Together they have 45 wheels. How many toy cars are there?
Hint for a grown-up: What if every toy were a robot? How many wheels would there be?
Leo climbs a staircase with 7 steps. Each move goes up 1 step or 2 steps. In how many different ways can Leo climb to the top?
Hint for a grown-up: To reach the top step, where could the last move start from?
8 teams play in a soccer tournament. Every team plays every other team once. How many games are played in all?
Hint for a grown-up: Each team plays 7 games. If we multiply by 8 teams, is every game counted once?
At the fair, a game costs 40 cents. Kizupi has lots of nickels and dimes, and no other coins. In how many different ways can Kizupi pay exactly 40 cents?
Hint for a grown-up: Once you choose how many dimes, is the number of nickels fixed?

From kizupi.com/tools · Grade 3, sheet 2077

What these challenge problems cover

Each sheet draws 8 problems from 23 Grade 3 challenge word problems in Kizupi’s published lessons, a different skill for each where it can. Only problems that work on paper are used.

Star puzzle: counting · Star puzzle: shapes · Star puzzle: robot factory · Star puzzle · Guess and check · Logic deduction · Handshakes and games · Counting arrangements · Star puzzle: fences and squares · Star puzzle: the fair

Where this fits in 3rd grade

The Common Core math standards say Grade 3 time should go to these areas [1]:

Multiplication and division within 100
Fractions, especially unit fractions like 1/4
Arrays and area
Describing and analyzing flat shapes

For a sheet that mixes every Grade 3 skill, use the 3rd grade math word problems page.

Questions parents ask

What are 3rd grade challenge word problems?

Puzzle problems a step past the usual ones, where the method isn’t given: working backward, making an organized list, guess and check, or spotting a pattern. These sheets draw from 10 kinds of Grade 3 puzzles in Kizupi: Star puzzle: counting, Star puzzle: shapes, Star puzzle: robot factory, Star puzzle, Guess and check, Logic deduction, Handshakes and games, Counting arrangements, Star puzzle: fences and squares, Star puzzle: the fair.

Is the worksheet free?

Yes. No account and no email. Press New sheet for another set, and print as many as you like.

Are the answers right?

Every answer is computed with exact arithmetic by the same engine that checks children’s answers in Kizupi, not typed in by hand.

What if my child gets stuck?

That is expected: these are meant to take a while. Read the problem aloud, try it with smaller numbers or a quick drawing, and use the hint under each problem. Save the answer key for the end.

Sources

Common Core State Standards Initiative, Grade 3 introduction. Read October 27, 2026.

Want a tutor that asks “how do you know?” every day? Kizupi’s pixel owl reads each problem aloud, hints one small step at a time and never hands over the answer. Grades 1–6.

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