Math problems - 2nd grade Nov. 28 2012

Math Problems:

11/28/2012

Problem 1

Each row of *s has two more *s than the row immediately above it, as shown. How many *s are contained in row #20?

*
***
*****
*******

Problem 2

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 fifteenth number in the sequence?

Problem 3


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 4

The length of the room is 20 ft. The snail moves from one side of the room to another. During the day the snail moves 2 ft towards the end of the room, but during the night the snail moves back 1 ft. In how many days will the snail reach the end of the room?



Problem 5

Two tourists were making sandwiches. Third tourist came, and the first two tourists gave him something to eat: the first gave him 3 sandwiches, and the second 2 sandwiches. The third tourist paid them $10. How do the first two tourists need to divide money among themselves?

Problem 6

Here is the sequence: 2, 20, 40, 400, 800. Continue the sequence.

Problem 7

Interesting square
Imagine the square 3 x 3 (9 cells all together). Put numbers from 1 to 9 in such a way that one number should be in one cell, a number is not repeated, sum of the numbers that reside on the same level horizontally, vertically, and diagonally is the same.





Problem 8

Cleaning windows
6 workers clean 6 windows within 6 minutes. What is the minimal number of workers needed to clean 100 windows within 100 minutes?





Problem 9

Treasure hunters
2 treasure hunters found treasure. They don't have any means to measure that. How to divide the treasure between those two treasure hunters in most fair fashion?

Problem 10


September 1 2001 was Saturday. What day of the week was October 1 2001?

Problem 11


There is a 10 stories building. The entrance to the building is on the first floor. 1 person lives on the first floor, 2 people on the second, ..., 10 people live on the 10th floor.
Where (on what floor) does the elevator stop more?

Problem 12


We know that February 1 1996 was Thursday. What day of the week was March 1 1996?



Problem 13


There are 15 cats, 8 of them are black and 8 of them like to eat salmon. How many cats are black and like to eat salmon?

Problem 14

The gnome separated his treasure into 3 different chests, each different color, each standing by the wall. One chest had precious stones, one chest had gold coins, and one chest had magic books. He remembers that red chest is to the right of the one with the stone. And books are to the right of the red chest. What chest contains books, if green chest is to the left of the blue chest?

Problem 15

There are 17 trucks and cars in the garage. Trucks have 6 wheels and cars have 4 wheels. How many of each type are in the garage if the total number of wheels is 82?

Math problems May 18 2012

Problem #1

Calculate 2004 - 2003 + 2002 - 2001 + 2000 - 1999 + ... + 2 - 1

Problem # 2
To print page numbers in a book we need 204 digits. How many pages in this book if we start with page 1?
Problem #3
In the appartments A, B, and C there are 3 cats: white, black and red. In appartments A and B there is not black cat. White cat is not in appartment A? Where is each cat?
Problem # 4
Cut rectangular in 3 triangulars in a such way so that only one of them has right angle.
Problem #5
From the number 12345678910111213…5657585960 cut 100 digits so the resulting number is largest one.
Problem #6
There are two sand watches: for 3 and 7 minutes. An egg can be boiled within 11 minutes. How to measure it using these sand watches?

Math problems for April 27 2012

Problem #1
Perimeter of the square is 12 sq. feet. What is the area if this square?
Problem #2
Anna walked 2 km for 31 minutes. Jane walked 2 km for 1 hour. Who has the higher speed and why?
Problem #3
In the following equation place parenthesis and arithmetic operators.
7_7_7_7 = 8
Problem #4
There are 4 kids in the family. We know that they are 5, 8, 13, and 15 years old. Their names are Kate, Jack, Wendy, and Melissa. One girl goes to nursery school. Kate is older than Jack. If you add ages for Kate and Wendy then the result is divisible by 3. How old are they?
Problem #5
How to get '2' using three '5's?
Problem #6
3 girls (Jane, Lynn, and Sonya) started eating candies. Jane and Lynn ate 11 candies. Jane and Sonya - 14, Lynn and Sonya - 15. How many candies all these girls ate?
Problem #7
How many minutes in 7/10 of an hour?

Math problems for Apr. 13 2012

Problem #1


What is larger? Half of the half of 20 OR quarter of quarter of 80?


Problem #2


The length of the fence is 20 meters. How many poles in this fence if the distance between poles is 2 meters? Poles are in the beginning and the end of the fence.


Problem #3


There is a cave where you can find treasure. This cave has a door. To open this door you need to enter secret code.

_ _ / _ = _ - _ = _ + _ = _ x _


Secret code consists of 9 different digits (1,2,3,4,5,6,7,8,9) instead of each _ , each digit should not be repeated. What is the secret code?


Problem #4


A school received 300 lbs of vegetables (potatoes, carrots, onions). There are 230 lbs of potatoes and carrots. There are 200 lbs of potatoes and onions. How much potatoes, carrots, and onions separately?


Problem #5


Joe drove 160 miles with the speed of 80 miles per hour. He stopped several times. How much time did Joe spend in this trip if all stops took 25 minutes?

Problem #6


A chair and a table cost $250. 4 chairs and 3 tables cost $887. What are the prices of a chair and a table separately?

Problem #7


What is A? 9A/1A = A

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?

Math problems for Oct. 27

Problem #1


I am less than 6 feet tall but more than 2 feet tall. My height in inches is a multiple of 7 and is also 2 inches more than a multiple of 6. What is my height in inches?


Problem #2


In the multiplication example below, A nad B represent different digits, AB is a two-digit number and BBB is a three-digit number. (* means multiply). What two-digit number does AB represent?





Problem #3


Tom went to a store and spent one-third of his money. He went to a second store where he spent one-third of what remained, and then had $12 when he left. How much money did he have to begin with at the first store?


Problem #4


The tower below has no gaps. Suppose it is painted red on all exterior sides including the bottom, and then cut into cubes along the indicated lines. How many cubes will each have red paint on just three faces?





Problem #5
A9543B represents a six-digit number in which A and B are digits different from each other. The number is divisible by 11 and also by 8. What digit does A represent?

Math problems for Oct. 21 2011

Problem #1


Two cash registers of a store had a combined total of $300. When the manager transferred $15 from one register to the other register, each register then had the same amount. How much did the register with the larger amount have before the transfer was made?


Problem #2
The product of two numbers is 128 and their quotient is 8. What are the numbers?


Problem #3


In the figure below, each number represents the length of the segment which is nearest it. How many square units are in the area of the figure if there is a right angle at each corner of the figure?





Problem #4
In the addition problem below, different letters stand for different digits. AH represents a two-digit number and HEE represents a three-digit number. What number does HEE represent?





Problem #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?

Math problems for October 14 2011

Problem #1


The cost of a book is $1 and a whole number of cents. The total cost of six copies of the book is less than $8. However, the total cost of seven copies of the same book at the same price per book is more than $8. What is the least a single copy of the book could cost?


Problem #2


The sum of all digits in the numbers 34, 35, and 36 is 24 because (3+4)+(3+5)+(3+6)=24. Find the sum of all digits in the first twenty-five counting numbers: 1, 2,3, ..., 23, 24, 25


Problem #3


Alice earned a total of $65 for working five days after school. Each day after the first day, she earned $2 more than she earned the day before. How much did she earn on the first day?


Problem #4


Each of the small boxes in the figure is a square and the area of the figure is 52 square units. How many units are there in the outer perimeter of the figure?





Problem #5


A work team of four people completes half of a job in 15 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 October 7 2011

Problem #1


Suppose the time is now 2 o'clock on a twelve-hour clock which runs continuously. What time will it show 1,000 hours from now?


Problem #2
The average of five numbers is 6. If one of the five numbers is removed, the average of the four remaining numbers is 7. What is the value of the number that was removed?


Problem #3


If you start with 3 and count by 7s, you get the terms of the sequence 3, 10, 17, ..., 528 where 3 is the 1st term, 10 is the 2nd term, 17 is the 3rd term, and so forth up to 528 which is Nth term. What is the value of N?


Problem #4


When a counting number is multiplied by itself, the result is a perfect square. For example 1, 4, 9 are perfect squares because 1 x 1 = 1, 2 x 2 = 4, and 3 x 3 = 9. How many perfect squares are less than 10,000?


Problem #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 81 people are seated when all seats are occupied. How many tables for two are there?

Math problems for September 30 2011

Problem #1
A slow clock loses 3 minutes every hour. Suppose the slow clock and a correct clock both show the correct time at 9 am. What time will the slow clock show when the correct clock shows 10 o'clock the evening of the same day?


Problem #2


The figure below is a 'magic square' with missing entries. When complete, the sum of the four entries in each column, each row, and each diagonal is the same. Find the value of A and the value of B.





Problem #3


The digit 3 is written at the right of a certain two-digit number thus forming a three-digit number. The new number is 372 more than the original two-digit number. What was the original two-digit number?


Problem #4


ABCD is a square with area 16 sq. meters. E and F are midpoints of sides AB and BC, respectively. What is the area of trapezoid AEFC, the shaded region?





Problem #5


Peter agreed to work after school for 8 weeks at a fixed weekly rate. But instead of being given only money, he was to be given $85 and a bicycle. However, Peter worked only 5 weeks at the fixed weekly rate and was given $25 and the bicycle. How much was the bicycle worth?

Math problems for Sept. 23 2011

Problem #1


The serial number of my camera is four-digit number less than 5,000 and contains the digits 2, 3, 5, and 8 but not necessarily in that order. The '3' is next to the '8', the '2' is not next to the '3', and the '5' is not next to the '2'. What is the serial number?


Problem #2


One day, Carol bought apples at 3 for 25 cents and sold all of them at 2 for 25 cents.If she made a profit of $1 that day, how many apples did she sell?


Problem #3






As shown, ABCD and AFED are squares with a common side AD of length 10 cm. Arc BD and arc DF are quarter-circles. How many square cm, are in the area of the shaded region?


Problem #4


When the same whole number is added to both the numerator and denumerator of 2/5, the value of the new fraction is 2/3. What number was added to both the numerator and denumerator?


Problem #5


The sum of the ages of three children is 32. The age of the oldest is twice the age of the youngest. The ages of the two older children differ by three years. What is the age of the youngest child?

Math problems for September 16

Problem #1


In the subtraction problem below, each letter represents a digit, and different letters represent different digits.
What digit C represents?





Problem #2



Each of the small boxes in the figure below is a square. The perimeter of square ABCD is 36 cm. What is the perimeter of the figure shown with darkened outline?







Problem #3



means 2 x 2 x 2 or 8



means 3 x 3 x 3 or 27



means N x N x N


Suppose

is equal to 4913. What is the value of N?


Problem #4





Carl shot 3 arrows; 2 landed in the A ring and 1 landed in circle B for a total score of 17. David also shot 3 arrows; 1 landed in A and 2 in B for a total score of 22. How many points are assigned to B?


Problem #5


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


Homework


Problem #1


My age this year is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years of age but less than 80. How old will I be 6 years from now?

9999999

Place parentheses and mathematical operations (+, -, /,*) on the left of the following equation to make it correct

9999999 = 100

Math problems for May 10 2011

Problem #1



How many times does X occurs in the diagram here.




Problem #2


The product of three counting numbers is 24. How many different sets of 3 numbers have this property if the order of the 3 numbers in a set does not matter?



Problem #3


Carol spent exactly $1 for some 5 cents stamps and some 13 cents stamps. How many 5 cents stamps did she buy?






Problem #4








In the addition problem here, there are three two-digit numbers in which different letters represent different digits. What digits do A, B, and C represent?





Problem #5


Let N be a number that divides 171 with a remainder of 6. List all the two-digit numbers that N can be.


Problem #6


The result of multiplying a counting number by itself is a square number. For example, 1, 4, and 9 are each square numbers because 1X1=1, 2X2=4, and 3X3=9. What year in the 20th century (the years 1901 through 2000) was a square number?



Problem #7


A group of 12 girls scouts had enough food to last for 8 days when they arrived in camp. However, 4 more scouts joined them without the amount of food being increased. How long will the food last if each scout is given the same daily ration as originally planned?