Math Problems Feb. 9 2012

Problem #1 - 2/3/3A


N is a number such that

1 x 2 x 3 x 4 x 5 x 6 x 7 = 8 x 9 x N


What is the value of N?


Problem #2 - 2/3/3B


What number between 121 and 149 is exactly divisible by both 3 and 5?


Problem #3 - 2/3/3C


Rachel left home for school at 7:45 one morning. She returned home at 4:05 that afternoon. How many hours and minutes was she gone?
(The number of minutes in your answer must be less than 60)


Problem #4 - 2/3/3D


The area of a square is 36 square centimeters. A rectangle has the same perimteter as the square. The length of the rectangle is twice its width. What is the area of the rectangle is square cm?


Problem #5 - 2/4/4E


Maria writes the same whole number instead of '?' below and gets a true statement. Jon doeas the same as Maria and also gets a true statement. But Jon and Maria choose diferent numbers. What two numbers do they choose?


12 + ( ? x ? ) - ( 7 x ? ) = 0


Problem #6 - 2/5/5E


Alexandra gives 1/2 of her marbles to Tyler, who gives 2/3 of what he receives to Jan, who gives 3/4 of what she receives to Jerry. If each has a counting number of marbles, what is the fewest numbers of marbles that Alexandra could have started with?

Math problems for January 26 2012

Problem #1


What is the value of the whole number N, if


N = 1/2 of 2/3 of 3/4 of 4/5 of 100?


Problem #2


Ana divides the number N by 8 correctly and gets .25 as her answer. Barney multiplies the same number N by 8. What answer should he get?


Problem #3


At a special sale, all shirts sell at one price and all caps sell at another price. Kathy pays $30 for 3 shirts and 2 caps. Marc pays $23 for 1 shirt and 5 caps. For how many dollars does each shirt sell?



Problem #4


At the Math Store each circle costs one amount and each square costs another amount. Five circles plus one square cost 20 cents. Two circles plus three squares cost 21 cents. At these prices, how many cents does twelve circles plus five squares cost?


Problem #5


Every person in a room shakes hands with each other person in the room exactly once. There are total of 15 handshakes. How many people are in the room?


Problem #6
Each row of *s has two more *s than the row immediately above it, as shown. Altogether, how many *s are contained in the first twenty rows?


*


***


*****


*******


Problem #7


Maria writes the same whole number instead of ? and get a true statement. Jon does the same as Maria and also gets a true statementon and Maria choose different numbers. What two numbers do they choose?


12 + (? x ?) - (7 x ?) = 0

Math problems for Jan. 6 2012

Problem #1 - Book 2/Set1/1E


Ben and Jerry start with the same number of trading cards. After Ben gives 12 of his cards to Jerry, Jerry then has two times as many cards as Ben does. How many cards did Ben have at the start?


Problem #2 - Book 2/Set1/2E


Admission to the local movie theater is $3 for each child and $7 for each adult. A group of 12 people pay $64 admission. How many children in this group?


Problem #3 - Book 2/Set1/4E


At a special sale, all pens are sold at one price and all pencils at another price. If 3 pens and 2 pencils are sold for 47 cents, while 2 pens and 3 pencils are sold for 38 cents, what is the cost of a set of one pen and one pencil, in cents?


Problem #4 - Book 2/Set 2/1E


The average weight of a group of children is 100 pounds. Todd, who weighs 112 pounds, then joins the group. This raises the average weight of the group to 102 pounds. How many children were in the original group?


Problem #5 - Book 2/Set 1/1A


What is the value of the following, in simplest terms?


(20 x 24 x 28 x 32) / (10 x 12 x 14 x 16)


Problem #6 - Book 2/ Set 1/1B


Roni starts with the number 5 and counts by 8s. This results in the sequence


5, 13, 21, 29, 37, and so on. What is the twenty-fifth number in the sequence?


Problem #7 - Book 2/ Set 1/1D
A represents a counting number. Find the value of A if

(A + A)/(A x A) = 1/3

Math Problems Dec. 23 2011

Idea is to have a small competition among kids. We can break them in 3 teams and ask to solve the following problems.

Problem #1


There are 2 empty jars: 3 gallons and 5 gallons. How to get 4 gallons of water in 5 gallon jar? All you can use these two jars.


Problem #2


There is a soccer competition with 11 teams. Each team palys with any other team 4 games. How many games in total are played in this competition?


Problem #3: 36-5


In the following sequence of numbers, each number has one more 1 than the preceding number: 1, 11, 111, 1111, 11111, ... . What is the tens digit of the sum of the first 30 numbers of the sequence?


Problem #4


There are 9 coins. 8 of them have the same weight and one is lighter, which is fake. How to determine which coin is fake in two attempts?

Math problems for Dec. 9 2011

Problem #1: 43-2


The product of two numbers is 128 and their quotient is 8. What are the numbers?


Problem #2: 43-5


Barbara has 20 coins consisting of nickels and dimes. If the nickels were dimes and the dimes were nickels, she would have 30 cents more than she has now. How many dimes did she have to begin with?


Problem #3


In hoopball, a field goal is worth 2 points and a foul shot is worth 1 point. Suppose a team scored 72 points and made 6 more field goals than foul shots. How many foul shots did the team make?


Problem #4: 58-5


A bus was rented at a fixed cost by a group of 30 people. When 10 people were added to the group, the fixed cost of the bus did not change, but the charge for each person in the original group was $2 less than before. If each person paid the same charge as each of the others, find the fixed cost of renting the bus


Problem #5: 62-3


A fisherman sold some big fish at $4 each and twice as many small fish at $1 each. He received a total of $72 for the big and small fish. How many big fish did he sell?


Problem #6: 69-4


A crew of 8 people can build a wall in 6 days. Suppose 4 more people had joined the crew at the start. Assume that each person works at the same rate as each of the other people. How many days would it have taken the new crew to build the same wall?


Problem #7: 1-5


A work crew of 3 people requires 3 weeks and 2 days to do a certain job. How long would it take a work crew of 4 people to do the same job if each person of both crews works at the same rate as each of the others? Note: each week contains 6 work days.


Problem #8: 42-5


A work team of four people completes half of a job in 30 days. How many days will it take a team of ten people to complete the remaining half of the job? (Assume that each person of both teams works at the same rate as each of the other people).

Math problems for Dec. 2 2011

Problem #1


In a stationary store, pencils have one price and pens have another price. Two pencils and three pens cost 78 cents. But three pencils and two pens cost 72 cents. How much does one pencil cost?


Problem #2: 17-2


One loaf of bread and six rolls cost $1.80. At the same price, two loaves of bread and four rolls cost $2.40. How much does one loaf of bread cost?



Problem #3: 41-5



A restaurant has a total of 30 tables which are of two types. The first type seats two people at each table; the second type seats five people at each table. A total of 81 people are seated when all seats are occupied. How many tables for two are there?



Problem #4: 12-4


A dollar was changed into 16 coins consisting of just nickels and dimes. How many coins of each kind were in the change?
Problem #5


From a pile of 100 pennies(P), 100 nickels(N), and 100 dimes(D), select 21 coins which have a total value of exactly $1.00. In your selection you must also use at least one coin of each type. How many coins of each of the three types(P, N, D) should be selected?


Problem #6


A dealer packages marbles in two different box sizes. One size holds 5 marbles and the other size holds 12 marbles. If the dealer packaged 99 marbles and used more than 10 boxes, how many boxes of each size did he use?


Problem #7: 43-5


Barbara has 20 coins consisting of nickles and dimes. If the nickles were dimes and the dimes were nickels, she would have 30 cents more than she has now. How many dimes did she have to begin with?


Problem #8: 46-2


Tickets for a concert cost $2 each for children and $5 each for adults. A group of thirty people consisting of children and adults paid a total of $87 for the concert. How many adults were in the group?

Math problems for Nov. 11 2011

Problem #1


In the USA, the symbol 5/2 means the 5th month, 2nd day, or May 2. But in England, 5/2 means the fifth day, 2nd month, or February 5. How many days of the year each have the same symbol in both the USA and England?


Problem #2


The product of two numbers is 504 and each of the numbers is divisible by 6. However, neither of the two numbers is 6. What is the larger of the two numbers?


Problem #3


A rectangular garden is 14 ft. by 21 ft. and is bordered by a concrete walk 3 ft. wide as shown below. How many square feet are in the surface area of just the concrete walk?





Problem #4


Four numbers are arranged in order of size and the difference between any two adjacent numbers is the same. Suppose 1/3 is the first and 1/2 is the fourth of these numbers. What are the two numbers between 1/3 and 1/2?


Problem #5


Each o the three diagrams at the right shows a balance of weights using different objects. How many cubes will balance a ball?