Addition and Subtraction Word Problems

1. Sam has 8 stickers. Mia has 5 stickers. How many more stickers does Sam need to give Mia so they both have the same number?
2. A toy costs $3. Mom gives the cashier $5. How much change should Mom get back?
3. There are 12 children in line. Emma is 4th from the front. What position is she from the back?
4. Jake has 13 marbles. He gives away 5 marbles and then finds 8 more marbles. How many marbles does Jake have now?
5. The number 24 can be made by adding two numbers. One number is 7 more than the other number. What are the two numbers?
6. Maria has 15 stickers. She gives 4 to her brother and 3 to her sister. Then her mom gives her 6 more stickers. How many stickers does Maria have now?
7. There are 18 children at a party. 6 children are wearing red shirts, 7 are wearing blue shirts, and the rest are wearing green shirts. How many children are wearing green shirts?
8. A book has 36 pages. Tim reads 12 pages on Monday and 15 pages on Tuesday. How many pages does he still need to read?
9. Ben had some apples. He ate 3 apples and gave away 5 apples. Now he has 7 apples left. How many apples did Ben start with?
10. The sum of two numbers is 18. The difference between them is 4. What are the two numbers?
11. Lisa counts: 5, 8, 11, 14, 17. If she continues this pattern, what will be the next two numbers?
12. Tom has 25 baseball cards. He trades 8 cards for 12 new cards. How many cards does Tom have now?
13. In a box, there are 23 red crayons and some blue crayons. There are 35 crayons altogether. How many blue crayons are in the box?
14. Amy buys a pencil for 45¢ and an eraser for 28¢. She pays with a dollar bill. How much change does she get?
15. There are 14 boys and 16 girls in a class. 8 children are absent today. How many children are in class today?
16. A number plus 9 equals 23. What is the number?
17. Sara has 6 more stickers than Kate. If Kate has 12 stickers, how many stickers do they have together?
18. The temperature in the morning was 42°F. By afternoon, it was 67°F. How much did the temperature increase?
19. There are 28 children on the playground. 15 are playing soccer and 8 are on the swings. The rest are playing tag. How many children are playing tag?
20. Mom baked 24 cookies. The family ate 9 cookies after lunch and 7 cookies after dinner. How many cookies are left?
21. A classroom has 23 students. If 12 students are girls, how many boys are in the class?
22. Sam has 14 marbles and Mike has 9 marbles. How many more marbles does Mike need to have the same number as Sam?
23. There were 36 apples in a basket. The students ate some apples. Now there are 19 apples left. How many apples did the students eat?
24. Lisa has 3 fewer stickers than Tom. If Lisa has 7 stickers, how many stickers does Tom have?
25. Dad buys 3 pounds of apples. The total cost is $4.50. How much does each pound cost?
26. A train has 8 cars. Each car has 12 seats. If 73 people are riding the train, how many empty seats are there?
27. Jake counts backwards from 50: 50, 47, 44, 41. What are the next three numbers he will say?
28. There are 19 ducks in a pond. 7 ducks fly away, then 4 more ducks arrive. How many ducks are in the pond now?
29. The sum of three numbers is 21. Two of the numbers are 6 and 8. What is the third number?
30. Lisa has twice as many stickers as Tom. If Tom has 9 stickers, how many stickers do they have altogether?
31. A parking lot has 45 cars. 18 cars leave and 12 new cars arrive. How many cars are in the parking lot now?
32. What number added to itself equals 16?
33. There are 27 students in two classes. The first class has 3 more students than the second class. How many students are in the smaller class?
34. Ben saves $2 every week. After 6 weeks, he spends $8 on a toy. How much money does he have left?
35. The difference between two numbers is 12. The smaller number is 15. What is the larger number?

Multiplication and Division Problems

36. Amy buys 3 packs of crayons. Each pack has 8 crayons. How many crayons does Amy buy in total?
37. There are 15 apples. If 3 children share them equally, how many apples does each child get?
38. A rectangle has 4 sides. Each side is 6 inches long. What is the distance all the way around the rectangle?
39. Mom bakes 24 cookies. She puts them in boxes of 6. How many boxes does she need?
40. There are 7 rows of chairs with 5 chairs in each row. If 12 people are already sitting, how many empty chairs are there?
41. A farmer has 4 chickens. Each chicken lays 3 eggs per day. How many eggs do all the chickens lay in 2 days?
42. There are 36 children. They need to form teams of 4. How many teams can they make?
43. Tom has 5 bags of marbles. Each bag has 7 marbles. He gives away 8 marbles. How many marbles does he have left?
44. A box holds 6 bottles. How many bottles are in 8 boxes?
45. There are 42 stickers to be shared equally among 6 children. How many stickers does each child get?
46. A pizza is cut into 8 equal pieces. Dad eats 3 pieces, Mom eats 2 pieces, and Sister eats 1 piece. How many pieces are left?
47. Sarah plants flowers in 4 rows. Each row has 9 flowers. How many flowers did she plant altogether?
48. There are 28 wheels on some bicycles. How many bicycles are there? (Each bicycle has 2 wheels)
49. A store has 5 shelves. Each shelf has 8 toys. They sell 13 toys. How many toys are left in the store?
50. Jenny has 3 times as many stickers as Mark. If Mark has 7 stickers, how many stickers does Jenny have?
51. There are 54 children going on a field trip. Each bus holds 9 children. How many buses do they need?
52. A garden has 6 rows of vegetables. Each row has 12 plants. If 15 plants die, how many plants are still alive?
53. Tom multiplies a number by 4 and gets 32. What number did he start with?
54. There are 3 bags with 8 apples in each bag and 2 bags with 5 apples in each bag. How many apples are there altogether?
55. A number divided by 5 equals 7. What is the number?
56. Lisa has 4 groups of stickers with 6 stickers in each group. She uses 9 stickers. How many stickers does she have left?
57. There are 63 pencils to be put into boxes of 9. How many boxes will be filled completely?
58. A number times 3, plus 4, equals 19. What is the number?
59. There are 5 tables in a restaurant. Each table has 4 chairs. 3 chairs are broken. How many chairs can be used?
60. Amy reads 6 pages every day for 5 days. Then she reads 8 more pages. How many pages did she read in total?
61. A factory makes 8 toys every hour. How many toys do they make in 6 hours?
62. There are 45 children in the gym. They make groups of 5. How many groups are there?
63. Tom has some money. He buys 4 toys that cost $3 each. He has $7 left. How much money did Tom start with?
64. A number divided by 6 has a remainder of 2. The quotient is 4. What is the number?
65. There are 9 boxes with 7 balls in each box. 12 balls are taken out. How many balls are left?

Patterns and Sequences

66. Ben counts by 2s: 2, 4, 6, 8, 10. What number comes next?
67. What number is missing? 5, 8, 11, 14, _____, 20
68. What number should replace the ? in this pattern? 3, 6, 9, 12, ?
69. Complete the pattern: 1, 1, 2, 3, 5, ____
70. What comes next? AB, CD, EF, ____
71. Circle the shape that comes next in the pattern: ○ △ ○ △ ○ ?
72. Look at this pattern: 2, 4, 8, 16. What number comes next?
73. What is the missing number? 100, 90, 80, _____, 60
74. Complete the sequence: 1, 4, 7, 10, _____, 16
75. What number continues this pattern? 50, 45, 40, 35, _____
76. Fill in the blank: 3, 5, 8, 12, 17, _____
77. What comes next in this pattern? Monday, Wednesday, Friday, _____
78. Complete: 1, 3, 6, 10, 15, _____
79. What is the next number? 64, 32, 16, 8, _____
80. Fill in the missing number: 7, 14, 21, _____, 35
81. What continues this pattern? A1, B2, C3, D4, _____
82. Complete the sequence: 2, 6, 18, 54, _____
83. What number is missing? 1, 4, 9, 16, _____, 36
84. Fill in the blank: 11, 22, 33, _____, 55
85. What comes next? Red, Blue, Green, Red, Blue, _____
86. Complete: 100, 91, 82, 73, _____
87. What is the next term? 1, 8, 27, 64, _____
88. Fill in the missing number: 3, 7, 15, 31, _____
89. What continues this pattern? January, March, May, _____
90. Complete the sequence: 5, 10, 20, 40, _____
91. What number is missing? 144, 121, 100, 81, _____
92. Fill in the blank: 2, 5, 11, 23, _____
93. What comes next? Triangle, Square, Pentagon, _____
94. Complete: 1000, 100, 10, _____
95. What is the next number in this Fibonacci-like sequence? 2, 3, 5, 8, 13, _____
96. What comes next in this pattern? 1, 4, 9, 16, 25, ____
97. Find the missing number: 2, 6, 12, 20, _____, 42
98. What is the next letter pattern? A, C, E, G, ____
99. Complete the sequence: 1, 3, 9, 27, ____
100. What number should replace the blank? 80, 40, 20, ____

Logic and Reasoning Problems

101. Circle the number that doesn’t belong: 2, 4, 7, 8, 10
102. Tom is taller than Sam. Sam is taller than Ben. Who is the shortest?
103. A triangle has 3 sides. A square has 4 sides. A pentagon has 5 sides. How many sides does a hexagon have?
104. If today is Wednesday, what day will it be in 10 days?
105. Sarah, Mike, and Lisa are in a race. Sarah is faster than Mike. Lisa is slower than Mike. Who came in first?
106. All cats have whiskers. Fluffy has whiskers. Is Fluffy definitely a cat?
107. In a bag, there are only red and blue marbles. There are 12 marbles total. If there are 5 red marbles, how many blue marbles are there?
108. Tom has more books than Lisa but fewer books than Sam. If Sam has 15 books and Lisa has 8 books, how many books might Tom have?
109. If it takes 3 minutes to boil 1 egg, how long does it take to boil 4 eggs at the same time?
110. Every dog has 4 legs. In a park, there are some dogs and their legs total 20. How many dogs are in the park?
111. Anna, Ben, and Carl are standing in line. Anna is not first. Ben is not last. Carl is not in the middle. What is the order from first to last?
112. A box contains only apples and oranges. There are 8 pieces of fruit total. If there are 3 more apples than oranges, how many apples are there?
113. If you can buy 3 pencils for $1, how much would 12 pencils cost?
114. Lisa is thinking of a number. If you double it and add 5, you get 17. What is Lisa’s number?
115. There are 4 children: Amy, Ben, Carl, and Dana. Amy is older than Ben. Carl is younger than Dana but older than Amy. Who is the oldest?
116. In a class, there are twice as many girls as boys. If there are 21 students total, how many girls are there?
117. A farmer has chickens and rabbits. There are 7 animals and 20 legs total. How many rabbits are there?
118. Tom, Lisa, and Sam each have a different number of stickers: 5, 8, or 12. Tom has more than Lisa but fewer than Sam. How many stickers does each person have?
119. If Monday is the 5th of the month, what date is the following Thursday?
120. A number is greater than 20 but less than 30. It can be divided evenly by both 3 and 4. What is the number?
121. Which group doesn’t belong? (a) cat, dog, lion (b) apple, banana, carrot (c) shirt, sock, tree
122. If red + blue = purple and blue + yellow = green, what would red + yellow make?
123. Mom baked some cookies. She gave half to dad, and then half of what was left to sister. Then brother got 3 cookies, leaving 3 cookies for mom. How many cookies did mom bake?
124. In a zoo, there are 3 monkeys, 2 elephants, and 5 giraffes. What fraction of the animals are giraffes?
125. If a triangle has 3 sides and a square has 4 sides, how many sides do 2 triangles and 3 squares have together?

Money Problems

126. Grandma gives Sam 8 pennies, 3 nickels, and 2 dimes. How much money does Sam have in total?
127. Jack has 2 quarters, 3 dimes, and 5 pennies. How much money does he have?
128. A toy car costs 85¢. Ben has 3 quarters and 2 dimes. Does he have enough money to buy the toy car?
129. Emma saves $2 each week. How much money will she have after 6 weeks?
130. A movie ticket costs $8. Popcorn costs $3. How much does it cost for a ticket and popcorn together?
131. Tom has some coins. He has twice as many pennies as nickels. If he has 4 nickels, how many pennies does he have?
132. The cost of 2 apples is the same as the cost of 3 oranges. If 1 apple costs 6¢, how much does 1 orange cost?
133. Lisa buys 3 pencils for 25¢ each and 2 erasers for 15¢ each. How much does she spend in total?
134. A candy bar costs 75¢. Mike pays with a $1 bill. How much change does he get?
135. Jenny has 47¢ in dimes and pennies. She has 2 dimes. How many pennies does she have?
136. A store sells apples for 30¢ each or 3 for 80¢. How much do you save by buying 3 apples together instead of separately?
137. Tom has $5.50. He buys a toy for $3.25 and a book for $1.75. How much money does he have left?
138. Lisa has 6 coins that total 41¢. She has nickels and pennies only. How many of each coin does she have?
139. A parking meter costs 25¢ for 30 minutes. How much does it cost to park for 2 hours?
140. Sam has twice as much money as his sister. Together they have $15. How much money does Sam have?
141. A pizza costs $12 and is shared equally among 4 friends. How much does each friend pay?
142. Emma buys a notebook for $1.50, a pen for 75¢, and stickers for $2.25. She pays with a $5 bill. How much change does she get?
143. Tom has 83¢ in quarters, dimes, and pennies. He has 2 quarters and 3 dimes. How many pennies does he have?
144. A toy costs $4.50. Lisa has saved $2.75. How much more money does she need?
145. Mike buys 5 pencils at 35¢ each. He pays with two $1 bills. How much change does he get?
146. A candy bar costs 65¢ and a juice box costs 85¢. How much do they cost together?
147. Tom saves 25¢ each day. How much will he save in 2 weeks?
148. If 4 erasers cost $1, how much does 1 eraser cost?
149. Lisa has 3 quarters, 4 dimes, and 2 nickels. How much money does she have?
150. A pencil costs 20¢ and an eraser costs 15¢. How much would 3 pencils and 2 erasers cost?

Time Problems

151. A clock shows 3:00. What time will it show in 2 hours?
152. School starts at 8:30 AM. It takes Lisa 15 minutes to get to school. What time should she leave home?
153. The library opens at 9:00 AM and closes at 5:00 PM. How many hours is the library open?
154. If it is now 1:30 p.m., what time will it be in 4½ hours?
155. A movie starts at 7:15 PM and lasts 1 hour and 45 minutes. What time does it end?
156. Tom went to bed at 9:30 PM and woke up at 7:00 AM. How many hours did he sleep?
157. It is now 2:20 PM. What time was it 35 minutes ago?
158. A train leaves at 11:45 AM and arrives at 2:30 PM. How long is the trip?
159. Sarah’s piano lesson is 45 minutes long. If it starts at 3:15 PM, what time does it end?
160. A clock shows 6:40. What time will it be in 25 minutes?
161. Tom has soccer practice from 4:00 PM to 5:30 PM. How long is his practice?
162. It takes 20 minutes to bake cookies. If Lisa starts baking at 2:40 PM, what time will they be done?
163. A clock shows 12:15. What time was it 3 hours and 30 minutes ago?
164. School ends at 3:15 PM. The bus ride home takes 25 minutes. What time does Tom get home?
165. A movie is 2 hours and 20 minutes long. If it starts at 1:40 PM, what time does it end?
166. Tom wakes up at 7:15 AM. It takes him 35 minutes to get ready. What time is he ready?
167. A store is open from 10:00 AM to 8:00 PM. How many hours is it open?
168. Lisa started her homework at 6:45 PM and finished at 8:20 PM. How long did she work on homework?
169. A flight takes 3 hours and 15 minutes. If it leaves at 9:30 AM, what time does it arrive?
170. Tom’s basketball game starts at 7:00 PM and ends at 8:45 PM. How long is the game?
171. If math class is 45 minutes long and starts at 10:15 AM, what time does it end?
172. Lisa takes a 25-minute shower starting at 7:10 AM. Then she spends 20 minutes getting dressed. What time is she ready?
173. A bus leaves the station every 15 minutes. If the first bus is at 8:00 AM, when is the fourth bus?
174. Tom has karate class from 5:15 PM to 6:30 PM. How long is the class?
175. If breakfast takes 20 minutes and dinner takes 35 minutes, how much time is spent eating both meals?

Geometry and Measurement

176. How many corners does a triangle have?
177. Sarah’s pencil is 6 inches long. Tom’s pencil is 2 inches shorter. How long is Tom’s pencil?
178. A rectangle is 4 units wide and 7 units long. What is its area? (Area = length × width)
179. How many squares can you count in a 2×2 grid?
180. Which holds more water: a cup that holds 8 ounces or a cup that holds 1 pint? (1 pint = 16 ounces)
181. A square has sides that are each 5 inches long. What is the perimeter?
182. How many triangles can you make by connecting 4 dots arranged in a square?
183. A rectangular garden is 8 feet long and 6 feet wide. What is its perimeter?
184. How many sides does an octagon have?
185. A circle is divided into 8 equal parts. What fraction is each part?
186. Tom’s room is 10 feet by 12 feet. How many square feet is his room?
187. A triangle has angles of 60°, 60°, and 60°. What type of triangle is this?
188. How many right angles are in a rectangle?
189. A hexagon has how many vertices?
190. The diameter of a circle is 10 inches. What is the radius?
191. How many faces does a cube have?
192. A rectangular prism has length 4, width 3, and height 2. What is its volume?
193. How many lines of symmetry does a square have?
194. An equilateral triangle has all sides equal. If one side is 7 cm, what is the perimeter?
195. How many edges does a triangular prism have?
196. If a rectangle has width 4 cm and length 9 cm, what is its area?
197. Which has more sides: a pentagon or a hexagon?
198. A square has area 25 square inches. How long is each side?
199. How many corners does a cube have?
200. If the perimeter of a square is 20 cm, how long is each side?

Advanced Problem Solving

201. There are 5 friends. Each friend shakes hands with every other friend exactly once. How many handshakes are there?
202. Jenny has some coins that total 47¢. She has only dimes and pennies. What is the smallest number of coins she could have?
203. A school has 3 grades. Grade 1 has 25 students, Grade 2 has 30 students, and Grade 3 has 28 students. If they want to form teams with the same number of students from each grade, what is the largest team size possible?
204. Tom is 3 years older than his sister. In 5 years, he will be 14. How old is his sister now?
205. There are red, blue, and green balls in a box. There are 4 red balls, twice as many blue balls as red balls, and 3 fewer green balls than blue balls. How many balls are there total?
206. A library has books on 4 shelves. The first shelf has 12 books, and each shelf after has 3 more books than the previous shelf. How many books are on all shelves combined?
207. Lisa saves the same amount of money each week. After 4 weeks, she has $20. After 7 weeks, she has $35. How much does she save each week?
208. In a parking lot, there are cars and motorcycles. There are 15 vehicles and 50 wheels total. How many cars are there?
209. Tom has a secret 2-digit number. The sum of its digits is 12. The number is less than 50. What are all the possible numbers?
210. A clock shows 3:15. What time was it 2 hours and 45 minutes ago?
211. There are 30 students in two classes. The first class has 4 more students than the second class. How many students are in each class?
212. A farmer has chickens and cows. There are 8 animals in total. The animals have 22 legs altogether. How many chickens are there?
213. Three friends share 21 stickers equally. Then each friend gives 2 stickers to their teacher. How many stickers does each friend have left?
214. A number is between 20 and 30. When you divide it by 3, the answer is 8. What is the number?
215. Lisa has some marbles. If she gives 3 marbles to each of her 4 friends, she will have 5 marbles left. How many marbles did Lisa start with?

Number Sense and Operations

216. The sum of three consecutive numbers is 24. What are the three numbers?
217. In a box, there are red and blue balls. There are 3 times as many red balls as blue balls. If there are 20 balls total, how many red balls are there?
218. Tom is twice as old as his sister. The sum of their ages is 15. How old is Tom?
219. A rectangular garden has a perimeter of 24 feet. The length is 2 feet more than the width. What are the dimensions?
220. Lisa buys apples at 3 for $1. She sells them at 2 for $1. If she buys 30 apples, how much profit does she make?
221. A number multiplied by 4, then decreased by 7, equals 17. What is the number?
222. There are 45 children on a field trip. They travel in vans that hold 8 children each. How many vans do they need?
223. Tom has $20. He buys 3 books that cost the same amount each. He has $5 left. How much did each book cost?
224. A recipe calls for 2 cups of flour for every 3 cups of sugar. If Lisa uses 8 cups of flour, how much sugar does she need?
225. The average of three numbers is 12. Two of the numbers are 10 and 15. What is the third number?
226. A store sells pencils in packs of 5 and pens in packs of 3. Tom buys the same number of pencils and pens. What is the smallest number of each he could buy?
227. Lisa runs around a track that is 400 meters long. She runs 3 complete laps plus 100 meters more. How far did she run?
228. A number when divided by 8 gives quotient 7 and remainder 3. What is the number?
229. Tom saves $3 every 2 days. How much will he save in 4 weeks?
230. A pizza is cut into 12 equal slices. Tom eats 1/3 of the pizza and Lisa eats 1/4 of the pizza. How many slices are left?

Fractions and Decimals

231. There are 24 students in a class. 1/3 of them are boys. How many girls are there?
232. A train travels 60 miles in 1 hour. At this rate, how far will it travel in 2 hours and 30 minutes?
233. Lisa has 5 more stickers than Tom. Tom has 3 fewer stickers than Sam. If Sam has 12 stickers, how many stickers do all three children have together?
234. A rectangular room is 15 feet long and 12 feet wide. Carpet costs $4 per square foot. How much will it cost to carpet the room?
235. Tom bought 4 toys for $24. Each toy cost the same amount. Lisa bought 6 similar toys. How much did Lisa spend?
236. A number increased by 25% becomes 30. What is the original number?
237. There are 36 children in a class. The ratio of boys to girls is 4:5. How many boys are there?
238. Lisa walks 2 miles north, then 3 miles east, then 2 miles south. How far is she from her starting point?
239. A car travels 240 miles using 8 gallons of gas. How many miles can it travel with 12 gallons?
240. Tom has twice as many marbles as Lisa and Sam combined. If Lisa has 8 marbles and Sam has 7 marbles, how many marbles does Tom have?
241. A square and a rectangle have the same perimeter. The square has sides of 6 units. The rectangle has length 8 units. What is the width of the rectangle?
242. Lisa saves $5 the first week, $10 the second week, $15 the third week. If this pattern continues, how much will she save in the sixth week?
243. A number when multiplied by itself equals 64. What is the number?
244. Tom has $50. He spends 40% of his money on books and 30% on toys. How much money does he have left?
245. A recipe for 4 people needs 6 cups of milk. How much milk is needed for 10 people?

Challenge Problems

246. Lisa is 8 years old. Her mother is 3 times as old as Lisa. In how many years will her mother be twice as old as Lisa?
247. A box contains 100 balls. 45% are red, 35% are blue, and the rest are green. How many green balls are there?
248. Tom runs 3 miles in 24 minutes. At this rate, how long will it take him to run 5 miles?
249. A store offers a 20% discount on a $30 item. What is the sale price?
250. Lisa has a collection of stamps. She gives away 1/4 of them and then buys 12 more. She now has 30 stamps. How many stamps did she start with?
251. A snail is at the bottom of a 10-foot well. Each day it climbs up 3 feet, but each night it slides down 2 feet. How many days will it take to reach the top?
252. Tom has 100 coins consisting of pennies and dimes. The total value is $5.50. How many dimes does he have?
253. A square piece of paper is folded in half 4 times. When unfolded, how many rectangles are created?
254. Lisa thinks of a number. She doubles it, adds 8, then divides by 4. The result is 7. What was her original number?
255. In a class of 25 students, everyone plays either soccer or basketball. 15 play soccer, 18 play basketball. How many play both sports?
256. A clock’s minute hand moves 6° per minute. How many degrees does it move in 25 minutes?
257. Tom arranges chairs in rows. If he makes 8 rows of 6 chairs, he has 2 chairs left over. If he makes 7 rows of 7 chairs, how many chairs are left over?
258. There is a 3×3 grid of dots. How many different squares can be formed using these dots as vertices?
259. Lisa has 3 red shirts, 2 blue shirts, and 2 green shirts. How many different outfits can she make if an outfit consists of one shirt?
260. What is the sum of all the digits from 1 to 20?
261. Tom buys some apples at 25¢ each and some oranges at 30¢ each. He buys a total of 10 pieces of fruit for $2.65. How many apples did he buy?
262. If scissors cost $3.50 and a ruler costs $1.25, how many rulers can be bought for the price of 2 pairs of scissors?
263. A number equals twice its units digit plus three times its tens digit. The sum of its digits is 9. What is the number?
264. Lisa collects seashells. On Monday she found 7 shells. Each day after that she found 3 more shells than the day before. How many shells did she find on Friday?
265. What is the smallest 3-digit number that is divisible by both 3 and 4?

Mixed Review Problems

266. The sum of all the digits in 342 is 9. What is the sum of all the digits in 462?
267. If 3 cats catch 3 mice in 3 minutes, how many cats would it take to catch 9 mice in 9 minutes?
268. Four apples and three bananas cost $2.05. Three apples and four bananas cost $1.95. How much does one apple cost?
269. A number is 10 more than its tens digit and 1 more than its units digit. The sum of the digits is 11. What is the number?
270. Lisa has 12 flowers. Some are red and some are white. There are 5 more red flowers than white flowers. How many white flowers does Lisa have?
271. Tom has some marbles. When he groups them by 3s, he has 2 left over. When he groups them by 5s, he has 3 left over. What is the smallest number of marbles Tom could have?
272. A classroom has 6 rows with 4 desks in each row. If 5 students are absent, how many desks are occupied?
273. Lisa is 4 years older than her brother. The sum of their ages is 26. How old is Lisa?
274. Tom has $10 in his pocket consisting of quarters, dimes, and nickels. He has twice as many quarters as dimes, and three times as many nickels as quarters. How many of each coin does he have?
275. A farmer divides 19 sheep among 3 pens. Each pen must have an odd number of sheep. How many ways can this be done?
276. Two cars leave towns 150 miles apart and drive toward each other. One car travels at 50 mph and the other at 25 mph. How long will it take before they meet?
277. Mrs. Brown is baking for a party. She made 4 dozen cookies and 3 dozen cupcakes. Three-fourths of the cookies and two-thirds of the cupcakes were eaten at the party. How many cookies and cupcakes were left over?
278. Lisa has a ribbon that is 3 feet long. She cuts it into 4 equal pieces. What is the length of each piece in inches? (1 foot = 12 inches)
279. Five friends share 3 pizzas equally. What fraction of a pizza does each friend get?
280. Tom scores 85, 92, and 79 on his first three math tests. What must he score on his fourth test to have an average of exactly 85?
281. Lisa has 20 stickers to give to 4 friends. She wants to give each friend a different number of stickers. What is one way she could distribute the stickers?
282. A number is divisible by both 4 and 9. What is the smallest such number?
283. Tom buys 3 notebooks and 2 pens for $9.50. Lisa buys 2 notebooks and 3 pens for $8.50. How much does 1 notebook cost?
284. A rectangular garden has an area of 24 square feet. The perimeter is 20 feet. What are the dimensions of the garden?
285. Lisa places 64 one-inch cubes to form a larger cube. What is the surface area of the larger cube?
286. The difference between two numbers is 9. Their sum is 27. What are the two numbers?
287. Tom’s age is the same as the sum of the ages of his two younger sisters. The sisters are 7 and 9 years old. How old is Tom?
288. Lisa arranges 12 identical blocks to form a rectangular solid. What are all the possible dimensions?
289. At a party, there were an equal number of boys and girls. After 4 boys left, there were twice as many girls as boys. How many boys were at the party initially?
290. Tom spends 2/5 of his money on a book and then 1/3 of the remainder on lunch. He has $12 left. How much money did he start with?
291. A triangle has sides of lengths 5, 12, and 13. What is its area?
292. Three consecutive odd numbers have a sum of 33. What is the middle number?
293. Lisa made a stack of cubes with 1 cube in the top row, 3 cubes in the second row, 5 cubes in the third row, and so on. If there are 5 rows, how many cubes are in the stack?
294. Tom has a collection of nickels, dimes, and quarters worth $4.00. He has 40 coins in total. If he has twice as many nickels as dimes, how many quarters does he have?
295. What is the smallest number that when divided by 3 leaves a remainder of 2, when divided by 4 leaves a remainder of 3, and when divided by 5 leaves a remainder of 4?
296. Lisa divides 30 marbles among 3 friends so that the second friend gets twice as many as the first, and the third gets 3 more than the second. How many marbles does the first friend get?
297. Tom is thinking of two numbers. Their sum is 20 and their product is 96. What are the two numbers?
298. Lisa buys a certain number of pencils for $1.20. If each pencil costs 15¢, how many pencils did she buy?
299. A recipe needs 2/3 cup of sugar. Lisa only has a 1/4 cup measure. How many 1/4 cups of sugar does she need?
300. What is the area of a square whose perimeter is 24 cm?

Multi-Part Challenge Problems

These complex problems require multiple steps to solve. Take your time and work through each part carefully!

286. School Fair Problem:
     1. At a school fair, Tom spent 1/3 of his money on games and 1/4 of his money on food. Then he bought a toy for $5. If he has $3 left, how much money did he start with?
     2. If Lisa started with the same amount of money as Tom, but spent 2/5 on games and 1/5 on food, how much did she have left?
287. Garden Measurements:
     1. A square garden has a perimeter of 24 meters. What is its area?
     2. The gardener wants to place a fence 2 meters away from each side of the garden. What will be the perimeter of this larger square?
     3. How much more area does the larger square have compared to the original garden?
288. Number Patterns:
     1. Find the next two numbers in this pattern: 3, 6, 11, 18, 27, _____, _____
     2. What is the rule for this pattern?
     3. What is the 10th number in this pattern?
289. Book Reading Challenge:
     1. Tom read 12 pages on Monday, 15 pages on Tuesday, 18 pages on Wednesday, and continued this pattern. How many pages did he read on Friday?
     2. If his book has 150 pages and he continues reading at this rate, on which day will he finish the book?
290. Classroom Problem:
     1. In a classroom, there are 28 students. The ratio of boys to girls is 3:4. How many boys are in the class?
     2. If 3 more boys join the class, what will be the new ratio of boys to girls?
291. Marble Game:
     1. Tom and Lisa are playing a marble game. Tom has 15 marbles and Lisa has 9 marbles. In each round, the winner gets 2 marbles from the other player. If Tom wins the first 3 rounds, how many marbles does each player have?
     2. How many rounds must Lisa win after that to have the same number of marbles as Tom?
292. Farm Animals:
     1. A farmer has chickens and rabbits. He counts 24 heads and 76 legs total. How many rabbits are there?
     2. If he sells 3 rabbits and buys 5 chickens, how many legs will be on the farm then?
293. Shape Investigation:
     1. A square has an area of 16 square inches. What is its perimeter?
     2. If you create a rectangle with the same perimeter as this square, what would be the dimensions of the rectangle with the largest possible area?
     3. What is the area of this rectangle?
294. Pizza Party:
     1. Three pizzas were shared equally among 8 children. What fraction of a pizza did each child get?
     2. If each pizza had 12 slices, how many slices did each child receive?
     3. If 5 more children join the party and they order 2 more pizzas, what fraction of a pizza will each child get now?
295. Building Blocks:
     1. Lisa builds a structure using cubes. The first layer has 16 cubes arranged in a 4×4 square. The second layer has 9 cubes in a 3×3 square centered on top of the first layer. The third layer has 4 cubes in a 2×2 square centered on top of the second layer. The top layer is 1 cube. How many cubes did Lisa use in total?
     2. If each cube has edges 2 cm long, what is the height of the structure?
     3. What is the volume of the entire structure in cubic centimeters?
296. Savings Plan:
     1. Tom saves $2 on the first day of the month, $4 on the second day, $6 on the third day, and so on following this pattern. How much does he save on the 15th day?
     2. How much money will he have saved in total after 10 days?
     3. If he wants to buy a toy that costs $200, on which day of the month will he have enough money?
297. Clock Problems:
     1. A clock shows 3:15. What is the angle between the hour and minute hands? (Hint: The hour hand moves slightly as minutes pass)
     2. At what time between 4:00 and 5:00 will the hour and minute hands form a right angle?
298. Number Puzzles:
     1. Think of a 2-digit number. When you add the digits together and multiply by 5, you get 45. When you subtract the ones digit from the tens digit, you get 3. What is the number?
     2. Find another 2-digit number where the sum of the digits multiplied by 4 equals 36, and the tens digit is twice the ones digit.
299. 1. Answer: 15:16 or 15/31:16/31
        Explanation: With 3 more boys, there are now 15 boys and 16 girls. The new ratio is 15:16.
300. 1. Answer: Tom: 21 marbles, Lisa: 3 marbles
        Explanation: In each round, Tom gains 2 marbles and Lisa loses 2. After 3 rounds, Tom gains 6 marbles (now has 21) and Lisa loses 6 (now has 3).
     2. Answer: 9 rounds
        Explanation: The difference between them is 21 – 3 = 18 marbles. In each round Lisa wins, the difference decreases by 4 marbles. To reach equal numbers, it takes 18 ÷ 4 = 4.5, so it takes 5 rounds to have Lisa ahead by 2 marbles. For them to be exactly equal, it takes 9 rounds.
301. 1. Answer: 14 chickens, 10 rabbits
        Explanation: Let c = chickens and r = rabbits. We know c + r = 24 and 2c + 4r = 76. Solving these equations: 2c + 2r = 48 (from first equation) and 2c + 4r = 76, so 2r = 28, r = 14, and c = 10.
     2. Answer: 66 legs
        Explanation: After selling 3 rabbits and buying 5 chickens, there are 7 rabbits and 19 chickens. Legs = 2 × 19 + 4 × 7 = 38 + 28 = 66.
302. 1. Answer: 16 inches
        Explanation: A square with area 16 sq in has sides of 4 inches, so perimeter = 4 × 4 = 16 inches.
     2. Answer: 4 × 4 or a square
        Explanation: Among all rectangles with fixed perimeter, the square has the maximum area.
     3. Answer: 16 square inches
        Explanation: The area of a 4 × 4 square is 16 square inches.
303. 1. Answer: 3/8 of a pizza
        Explanation: 3 pizzas shared among 8 children means each child gets 3 ÷ 8 = 3/8 of a pizza.
     2. Answer: 4.5 slices
        Explanation: 3/8 of a pizza with 12 slices = 3/8 × 12 = 4.5 slices per child.
     3. Answer: 5/13 of a pizza
        Explanation: 5 pizzas shared among 13 children means each child gets 5 ÷ 13 = 5/13 of a pizza.
304. 1. Answer: 30 cubes
        Explanation: 16 (bottom layer) + 9 (second layer) + 4 (third layer) + 1 (top) = 30 cubes total.
     2. Answer: 8 cm
        Explanation: 4 layers of cubes, each 2 cm tall = 8 cm height.
     3. Answer: 240 cubic cm
        Explanation: With 30 cubes, each 2 × 2 × 2 cm = 8 cubic cm, the total volume is 30 × 8 = 240 cubic cm.
305. 1. Answer: $30
        Explanation: On day n, Tom saves 2n dollars. On day 15, he saves 2 × 15 = $30.
     2. Answer: $110
        Explanation: Sum of 2, 4, 6, …, 20 = 2(1 + 2 + 3 + … + 10) = 2 × 55 = $110.
     3. Answer: Day 14
        Explanation: The sum through day n is n(n+1). We need n(n+1) ≥ 200. Testing n = 14: 14 × 15 = 210, which exceeds $200.
306. 1. Answer: 7.5 degrees
        Explanation: At 3:15, the hour hand has moved 1/4 of the way from 3 to 4, or 3.75 hours × 30° = 112.5°. The minute hand is at 15 minutes, or 15 × 6° = 90°. The angle between them is 112.5° – 90° = 22.5°.
     2. Answer: 4:38 and 5:49
        Explanation: At 4:00, the hour hand is at 120° and minute hand at 0°. For a right angle (90°), we need the minute hand to catch up by 30° (for each hour the hour hand moves 30°). The minute hand moves 6° per minute, so it takes 30 ÷ 6 = 5 minutes for the minute hand to gain 30° on the hour hand. The first right angle occurs when the minute hand has gone 5 × 6 = 30 minutes ahead, which is at 4:38. The second right angle occurs at 5:49.
307. 1. Answer: 63
        Explanation: Let the digits be a and b. We know a + b = 9 and a – b = 3. Solving: a = 6, b = 3. The number is 63.
     2. Answer: 84
        Explanation: If the tens digit (a) is twice the ones digit (b), then a = 2b. Also, (a + b) × 4 = 36, so a + b = 9. Substituting a = 2b: 2b + b = 9, 3b = 9, b = 3. Therefore a = 6, and the number is 63.
308. 1. Answer: Fill container A, pour into B (leaving 3L in A), empty B, pour the 3L from A into B, fill A again, and pour 2L from A into B to fill it (leaving 6L in A)
        Explanation: This requires understanding how to transfer water between containers to get exact measurements.
     2. Answer: 4 transfers
        Explanation: Fill C (3L), pour into A. Fill C again (3L), pour into A (now A has 6L). This requires 4 transfers total (empty→C, C→A, empty→C, C→A).

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Answer Key with Explanations

Below are the answers to all problems. For challenging problems, explanations are provided to help students understand the solution process.