Mrs. Navarro, the math teacher, has 8 logic puzzles and 18 visual puzzles that she wants to group into sets for students who finish their tests early. Mrs. Navarro wants each set to be identical, containing the same combination of logic puzzles and visual puzzles, with no puzzles left over. What is the greatest number of sets she can create?

Carl and Gwen went to the amusement park. They bought the same number of ride tickets, but Carl bought them in packs of 6, and Gwen bought them in packs of 4. What is the smallest possible number of tickets they each bought?

Carter has two pieces of twine, one 14 feet long and the other 7 feet long. If he wants to cut them up to produce many pieces of twine that are all of the same length, with no twine left over, what is the greatest length, in feet, that he can make them?

At a party, the cheese pizza is cut into 7 slices and the veggie pizza is cut into 14 slices. If the host wants to serve identical platters that contain the same combination of cheese and veggie slices, with no slices left over, what is the greatest number of platters the host can prepare?

Shane has 15 large bottles of soda and 6 large jugs of water. In preparation for the intermission of the school play, Shane wants to set up identical refreshment tables and have no beverages left over. What is the greatest number of refreshment tables that he can set up?

Anthony has 16 commemorative plates and 6 commemorative spoons. He wants to display them in groups throughout his house, each with the same combination of plates and spoons, with none left over. What is the greatest number of groups Anthony can display?

Marta is setting out some snacks for friends she is having over. She has 9 crackers and 6 slices of cheese. If she wants each plate to be identical, with no food left over, what is the greatest number of plates Marta can prepare? (3)

Marta and Julie are training for a marathon. Marta runs 14 kilometers at a time while Julie prefers to run in blocks of 2 kilometers. At the end of a month, they realize that they have run same total number of kilometers. What is the smallest number of kilometers that each must have run? (14)

Dedra is posting 9 flyers for the science club and 3 for the music club. She wants to make all the locations identical, with the same combination of science club flyers and music club flyers. In addition, she wants to make sure that no flyers are left over. What is the greatest number of locations that Dedra can post at? (3)

An equal number of middle school students and high school students in Washington get to school by bus. The bus that carries middle school students transports groups of 17 at a time, while the bus that carries high school students transports groups of 14 at a time. What is the minimum number of each type of student that the county must have?

Keenan and Wendy are playwrights. A literary critic notices that the two playwrights have written the same number of acts during their careers, even though all of Keenan's plays have 4 acts and all of Wendy's plays have 12 acts. What is the smallest number of acts each must have written? (12)

Brandy's Bath Shop sells bars of soap in boxes of 2 bars and bottles of soap in boxes of 20 bottles. An employee is surprised to discover that the shop sold the same number of bars and bottles last week. What is the smallest number of each type of soap that the shop could have sold? (20)

Eli buys two submarine sandwiches for an after-school party. One sandwich is 20 inches long and the other sandwich is 10 inches long. Eli wants to cut servings of the same length from both sandwiches, without having any sandwich left over. What is the greatest length serving that Eli can cut? (10)

In preparation for a conference, Roger is setting up some stations where people can create their own name tags. He has 18 name tags and 8 pens, which he wants to distribute evenly among the name tag stations with none left over. What is the greatest number of name tag stations that Roger can set up?

3 strings of different lengths, 240 cm, 318 cm and 426 cm are to be cut into equal lengths. What is the greatest possible length of each piece?

Two lighthouses flash their lights every 20s and 30s respectively. Given that they flashed together at 7pm, when will they next flash together?

As a humanitarian effort, food ration is distributed to each refugee in a refugee camp. If a days ration is 284 packets of biscuits, 426 packets of instant noodles and 710 bottles of water, how many refugees are there in the camp? [142 refugees]

A man has a garden measuring 84 m by 56 m. He wants to divide them equally into the minimum number of square plots. What is the length of each square plot? [28 m]

A small bus interchange has 2 feeder services that start simultaneously at 9am. Bus number 801 leaves the interchange at 15-min intervals, while bus number 802 leaves at 20-min intervals. On a particular day, how many times did both services leave together from 9 am to 12 noon inclusive? [4 times

Candice, Gerald and Johnny were jumping up a flight of stairs. Candice did 2 steps at a time, Gerald 3 steps at time while Johnny 4 steps at a time. If they started on the bottom step at the same, on which step will all 3 land together the first time? [12th step]

A group of students can be further separated into groups of 5, 13 and 17. What is the smallest possible total number of students? [1105 students]

Mrs Goh and 3 of her friends went to a supermarket and found that a package of 6 dishcloths cost $10. If they were to share the purchase such that each has the same number of dishcloths, what is the minimum amount each has to pay? [$5]

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: (111)

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is: (2)

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: