These math riddles for 6th graders are short stories and what-number-am-I puzzles on grade 6 skills: ratios, percents, negative numbers, equations, area, mean and median. A second set does the same for grade 5.
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Math riddles for 5th graders and for 6th graders
The page opens on Grade 6; the menu under the button changes the grade. Grade 5: decimals and place value, fractions, volume, order of operations, points on a grid. Grade 6: ratios and rates, percents, negative numbers, equations, area, mean and median. Choose More filters in that menu for Level: Easy takes one step, Medium two or more.
Solve, then check the steps
Hand out paper and read a riddle aloud. Show answer opens the answer and the steps, so a wrong guess can be traced to the step that went astray. Print gives the riddles with a line under each and the answers on a page of their own.
Tips
Every riddle can be worked on paper: answers are whole numbers, simple fractions or short decimals.
Questions and answers
What are some fun math riddles for 6th graders?
Thirty percent of me is 12: what number am I? (40.) Fold the number line at zero and I land exactly on 7: what number am I? (Negative 7.) Three fourths of me is 15: what number am I? (20.)
Are there easy math riddles for 6th graders?
Yes. Half of each grade's set is marked Easy, which means one step: 25% of 80, a unit rate, the area of a triangle. Medium riddles take two steps or more. The levels are the editors' judgment.
What math do the grade 6 riddles use?
Ratios and unit rates, percent of a quantity, negative numbers on the number line, one-step equations, the area of triangles and other polygons, and mean and median. Those are grade 6 topics in the Common Core State Standards for Mathematics, which many states use.
Do the math riddles come with answers?
Yes. Each riddle has its answer and its steps under a cover, closed until you tap it. Show all answers, under the list, opens every cover at once, and the full list below the tool prints every riddle with its steps.
A baker has 4 cups of raisins, and each loaf takes 1/3 cup. How many loaves can she make?Answer: 12 loaves. Each cup is enough for 3 loaves, so 4 ÷ 1/3 = 4 × 3 = 12.
A beetle sets out from (3, 2) and crawls 4 right, 5 up and 2 left. Where is it now?Answer: (5, 7). x: 3 + 4 − 2 = 5. y: 2 + 5 = 7.
A carton is packed full of sugar cubes: 5 along, 2 across and 3 layers high. How many sugar cubes are in it?Answer: 30 cubes. One layer holds 5 × 2 = 10 cubes, and there are 3 layers.
A garden bed is 2/3 yard wide and 3/4 yard long. What is its area?Answer: 1/2 square yard. 2/3 × 3/4 = 6/12, which is 1/2.
A pancake mix calls for 2/3 cup of milk. You make half as much. How much milk do you pour?Answer: 1/3 cup. 1/2 × 2/3 = 2/6, which is 1/3.
A pool 8 meters long and 5 meters wide is filled to a depth of 2 meters. How many cubic meters of water is that?Answer: 80 cubic meters. 8 × 5 × 2 = 80.
A ribbon is 2.5 meters long. Maya cuts off 0.75 meter, then ties on 1.4 meters more. How long is the ribbon now?Answer: 3.15 meters. 2.5 − 0.75 = 1.75, and 1.75 + 1.4 = 3.15.
A sandbox covers 15 square feet of the yard and is filled 2 feet deep. How much sand is in it?Answer: 30 cubic feet. Area of the base × height: 15 × 2 = 30.
A snail crawls 0.35 meter every minute. How far has it crawled after 100 minutes?Answer: 35 meters. Multiplying by 100 moves each digit two places to the left: 0.35 × 100 = 35.
A square has corners at (2, 2), (2, 6) and (6, 6). Where is the fourth corner, and how long is each side?Answer: (6, 2), and each side is 4 units. The missing corner pairs x = 6 with y = 2. From 2 to 6 is 4 units.
A trail is 2 1/2 miles long. Sam walks 3/4 mile, rests, then walks 1 1/8 miles. How far is it to the end?Answer: 5/8 mile. In eighths: 20/8 − 6/8 − 9/8 = 5/8.
A treasure is buried at (2, 5). A pirate stands at (2, 1). How many units up the grid must she walk?Answer: 4 units. The x-coordinates match, so count along y: 5 − 1 = 4.
Add 8 and 7, then double the result. Write that as one expression and find its value.Answer: 2 × (8 + 7) = 30. The parentheses make the sum come first: 15, then 2 × 15 = 30.
Add me to 2/5 and you get 9/10. What fraction am I?Answer: 1/2. 2/5 is 4/10, and 9/10 − 4/10 = 5/10, which is 1/2.
Do not work it out: how many times as large as 4,125 + 380 is 3 × (4,125 + 380)?Answer: 3 times as large. The second expression is the first one multiplied by 3, whatever the sum is.
Four friends split a $9.00 pizza bill evenly. How much does each one pay?Answer: $2.25. 9.00 ÷ 4 = 2.25. Check: 4 × 2.25 = 9.
Half a pizza is left in the box. Ben eats a piece that is one fourth of a whole pizza. What fraction of a whole pizza is left now?Answer: 1/4. 1/2 is 2/4, and 2/4 − 1/4 = 1/4.
I am 2 × (6 + 4) − 5. A friend skipped my parentheses and got 11. What number am I really?Answer: 15. Parentheses first: 6 + 4 = 10. Then 2 × 10 = 20 and 20 − 5 = 15.
I am 36 ÷ (2 + 4) × 3 − 1. What number am I?Answer: 17. Parentheses: 6. Left to right: 36 ÷ 6 = 6, then 6 × 3 = 18. Last, 18 − 1 = 17.
I am a block of clay that fills 120 cubic centimeters. My base is 6 centimeters by 5 centimeters. How high do I stand?Answer: 4 centimeters. The base is 6 × 5 = 30 square centimeters, and 120 ÷ 30 = 4.
I am a cube, and I fill 64 cubic inches. How long is each of my edges?Answer: 4 inches. 4 × 4 × 4 = 64, so each edge is 4 inches.
I am a decimal between 3 and 4. My tenths digit is 7 and my hundredths digit is 2. What number am I?Answer: 3.72. 3 ones, 7 tenths and 2 hundredths: 3 + 0.7 + 0.02.
I am a fish tank, 12 inches by 8 inches across my floor and 10 inches deep. How much water can I hold?Answer: 960 cubic inches. Length × width × height: 12 × 8 = 96, and 96 × 10 = 960.
I am a toy block shaped like a cube, 3 centimeters along every edge. How much space do I fill?Answer: 27 cubic centimeters. 3 × 3 × 3 = 27.
I am the sum of one half and one third. What fraction am I?Answer: 5/6. In sixths: 3/6 + 2/6 = 5/6.
I have a 6 in the tenths place and zeros everywhere else. My twin has a 6 in the ones place and zeros everywhere else. How many times as large as me is my twin?Answer: 10 times. 6 is ten times 0.6: a digit is worth ten times as much one place to the left.
I sit on the x-axis, 6 units to the right of the origin. What are my coordinates?Answer: (6, 0). A point on the x-axis has not moved up at all, so its second number is 0.
Multiply me by 10 and you get 4.5. What number am I?Answer: 0.45. Dividing by 10 moves each digit one place to the right: 4.5 ÷ 10 = 0.45.
My y-coordinate is 2, and my x-coordinate is 3 more than that. What point am I?Answer: (5, 2). x = 2 + 3 = 5, and x is written first.
Pick the largest of 0.409, 0.49 and 0.094, then divide it by 10. What number do you get?Answer: 0.049. 0.49 is the largest, since 0.490 is more than 0.409. 0.49 ÷ 10 = 0.049.
The points (0, 0), (1, 3) and (2, 6) follow one rule. What is the y-coordinate when x is 5?Answer: 15. Each y is 3 times its x, and 3 × 5 = 15.
Put one pair of parentheses into 4 × 3 + 2 × 5 so that it equals 100.Answer: 4 × (3 + 2) × 5. 3 + 2 = 5, then 4 × 5 × 5 = 100. Without parentheses the value is 22.
Put one pair of parentheses into 8 − 3 + 2 so that the answer is 3.Answer: 8 − (3 + 2). 3 + 2 = 5 and 8 − 5 = 3. Without parentheses the answer is 7.
Round me to the nearest tenth and you get 2.4. I have two decimal places, I am less than 2.4 and my hundredths digit is 8. What number am I?Answer: 2.38. Numbers from 2.35 up to 2.4 round to 2.4, and only 2.38 has an 8 in the hundredths place.
Start at the origin. Go 4 units right and 3 units up. What point am I?Answer: (4, 3). The first number says how far right, the second how far up.
Three corners of a rectangle are at (1, 1), (1, 4) and (6, 1). Where is the fourth corner?Answer: (6, 4). It lines up with x = 6 from one corner and y = 4 from another.
Three friends share 2 granola bars equally. What fraction of a bar does each friend get?Answer: 2/3 of a bar. 2 ÷ 3 = 2/3: a fraction is the top number divided by the bottom one.
Two boxes are taped together. One is 2 by 3 by 4 feet and the other is a cube with 3-foot edges. What is the volume of the pair?Answer: 51 cubic feet. 2 × 3 × 4 = 24 and 3 × 3 × 3 = 27. Volumes add: 24 + 27 = 51.
Two students work out 3 + 4 × 5. Ava says 35 and Leo says 23. Who is right?Answer: Leo, with 23. Multiply first: 4 × 5 = 20, then 3 + 20 = 23. Ava added first.
Use 2, 3 and 4 once each, with one + and one ×, to make the largest value you can. Parentheses are allowed.Answer: (2 + 3) × 4 = 20. Add the two smallest first, then multiply by the largest. The next best, (2 + 4) × 3, gives 18.
Grade 6 40
A $120 bike goes on sale at 15% off. How much do you pay?Answer: $102. 10% of 120 is 12 and 5% is 6, so 15% is 18. 120 − 18 = 102.
A $40 jacket is marked 10% off. How many dollars do you save?Answer: $4. 10% of 40 is 40 ÷ 10 = 4.
A 12-ounce box of cereal costs $3.00 and a 20-ounce box costs $4.40. Which box costs less per ounce?Answer: The 20-ounce box. 3.00 ÷ 12 = 25 cents an ounce. 4.40 ÷ 20 = 22 cents an ounce.
A bird feeder mix has 3 scoops of seed for every 5 scoops of cracked corn. How much corn goes with 12 scoops of seed?Answer: 20 scoops. 12 is 4 times 3, so the corn is 4 times 5.
A bird sits at (−4, 2) and a worm at (5, 2). How many units must the bird fly to reach it?Answer: 9 units. They share y = 2. From −4 to 0 is 4 units and from 0 to 5 is 5 more.
A jar holds x marbles. Two and a half dozen more go in, and now it holds 50. What is x?Answer: 20. Two and a half dozen is 30. x + 30 = 50, so x = 20.
A printer prints 45 pages in 3 minutes. At that rate, how many pages does it print in 10 minutes?Answer: 150 pages. The unit rate is 45 ÷ 3 = 15 pages a minute, and 15 × 10 = 150.
A quiz has 20 questions and Zoe gets 85% of them right. How many does she miss?Answer: 3 questions. 85% of 20 is 17 right, and 20 − 17 = 3.
A rectangle is 12 feet by 5 feet. A diagonal cuts it into two equal triangles. What is the area of one?Answer: 30 square feet. The rectangle is 60 square feet, and each triangle is half of it.
A river barge drifts 18 miles in 6 hours at a steady pace. What is its speed?Answer: 3 miles per hour. The unit rate is 18 ÷ 6 = 3 miles for each hour.
A sail is a right triangle with legs of 6 feet and 9 feet. What is its area?Answer: 27 square feet. Half of base × height: 6 × 9 = 54, and half of 54 is 27.
A snail moves 2 feet in 5 minutes. How many inches is that per minute?Answer: 4.8 inches per minute. 2 feet is 24 inches, and 24 ÷ 5 = 4.8.
A square garden with 10-meter sides has a triangular pond in one corner. The pond is a right triangle with legs of 4 meters and 5 meters. How much garden is left?Answer: 90 square meters. The square is 100 square meters. The pond is half of 4 × 5, which is 10.
A tank has 4 red fish for every 1 blue fish, and 20 fish in all. How many are blue?Answer: 4 blue fish. Each group of 5 fish has 1 blue. 20 ÷ 5 = 4 groups.
A trapezoid has parallel sides of 5 feet and 9 feet and a height of 4 feet. Cut it into a rectangle and two triangles. What is its area?Answer: 28 square feet. The rectangle is 5 × 4 = 20. The two triangles share a base of 9 − 5 = 4, so together they are half of 4 × 4, which is 8.
Add 9 to me and you get 23. What number am I?Answer: 14. x + 9 = 23, so x = 23 − 9.
The data set 2, 3, 3, 4, 28 has one very large value. Which is larger, its mean or its median, and by how much?Answer: The mean, by 5. The mean is 40 ÷ 5 = 8. The median is the middle value, 3. The one large value pulls the mean up.
Divide me by 6 and you get 1.5. What number am I?Answer: 9. x ÷ 6 = 1.5, so x = 1.5 × 6.
Five quiz scores are 6, 8, 8, 9 and 9. What is the mean?Answer: 8. The scores add up to 40, and 40 ÷ 5 = 8.
Fold the number line at zero and I land exactly on 7. What number am I?Answer: −7. Opposites sit the same distance from zero on opposite sides.
Four friends have 2, 4, 6 and 8 stickers. They pool them and share evenly. How many does each get, and what is that number called?Answer: 5 stickers, the mean. 2 + 4 + 6 + 8 = 20, and 20 ÷ 4 = 5.
Four test scores have a mean of 80. Three of them are 70, 85 and 90. What is the fourth?Answer: 75. The four must add up to 4 × 80 = 320. 70 + 85 + 90 = 245, and 320 − 245 = 75.
Four times me is 52. What number am I?Answer: 13. 4x = 52, so x = 52 ÷ 4.
Green paint is mixed from 3 parts blue to 5 parts yellow. How much blue is in 40 liters of green?Answer: 15 liters. There are 8 parts in all, so one part is 40 ÷ 8 = 5 liters. Blue is 3 parts.
Half of a class of 28 students walks to school. What percent is that, and how many students?Answer: 50%, which is 14 students. One half is 50 out of 100, and 28 ÷ 2 = 14.
I am 25% of 80. What number am I?Answer: 20. 25% is one fourth, and 80 ÷ 4 = 20.
I am 6 units from zero on the number line and I am less than zero. What number am I?Answer: −6. Two numbers are 6 units from zero, 6 and −6. Only −6 is below zero.
I am a parallelogram with a base of 9 meters, and I cover 54 square meters. How tall am I?Answer: 6 meters. Area = base × height, so the height is 54 ÷ 9.
I am a triangle-shaped road sign, 10 inches across the bottom and 7 inches high. How much area do I cover?Answer: 35 square inches. Half of 10 × 7 = 70 is 35.
I am an integer greater than −3 and less than 0, and I am not −1. What number am I?Answer: −2. The integers between −3 and 0 are −2 and −1.
I am the point (3, −2). Flip me over the x-axis. Where do I land?Answer: (3, 2). A flip over the x-axis keeps x and changes the sign of y.
Line these up in order: 3, 9, 4, 7, 12. Which number is the median?Answer: 7. In order: 3, 4, 7, 9, 12. The middle one is 7.
One morning it is −8 degrees in one town and −3 degrees in another. Which town is colder?Answer: The town at −8 degrees. −8 is farther left on the number line than −3, so it is the lower temperature.
Six long jumps measure 4, 5, 7, 9, 10 and 13 feet. What is the median?Answer: 8 feet. With six values, the median is halfway between the two middle ones, 7 and 9.
Six pencils cost $1.80. What does one pencil cost?Answer: 30 cents. 1.80 ÷ 6 = 0.30.
Take 15 away from me and 28 is left. What number am I?Answer: 43. x − 15 = 28, so x = 28 + 15.
Thirty percent of me is 12. What number am I?Answer: 40. 10% of me is 12 ÷ 3 = 4, so all of me is 4 × 10 = 40. Check: 0.30 × 40 = 12.
Three fourths of me is 15. What number am I?Answer: 20. One fourth of me is 15 ÷ 3 = 5, so all of me is 5 × 4.
Tickets cost $7 each and a family pays $35. Write an equation for the number of tickets, t, and solve it.Answer: 7t = 35, so t = 5. 35 ÷ 7 = 5 tickets.
When x is 4, I am 3x + x². What number am I?Answer: 28. 3 × 4 = 12 and 4² = 16. 12 + 16 = 28.
How this list was compiled
Written by the Game Night Generator editors on October 3, 2026: 80 math riddles, 40 on grade 5 skills and 40 on grade 6 skills, each a short story, a what-number-am-I or a small puzzle with its steps under the answer. The skills follow the Common Core State Standards for Mathematics, grades 5 and 6, read on 2026-10-03 in the PDF kept at https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf (only the names of the skills are used here; the standards belong to their publishers). The list practices, for grade 5, operations and algebraic thinking (5.OA), numbers in base ten (5.NBT), fractions (5.NF), measurement and data (5.MD) and geometry (5.G); for grade 6, ratios and proportional relationships (6.RP), the number system (6.NS), expressions and equations (6.EE), geometry (6.G) and statistics (6.SP). The wording, the numbers and the stories are the editors' own; no problem is taken from the standards, a textbook or a worksheet. Every answer was computed by a script on the day it was written, and the steps printed under it were checked against that result. The two levels are the editors' judgment: Easy takes one step, Medium two or more. Your state's standards may differ; this list is unofficial and is not connected with the organizations that publish the standards. Licence: own work