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4th Grade Slip Problems
MARCH 14-SPRING BREAK MARCH 2 Letter Cents To engrave a work on a plate, each of the first three letters cost 5 cents, and each letter after the first three costs 1 cent more than the preceding letter does. Find the cost, in cents, of engraving the following word. VACATION Divisible by 6 or 9 How many different natural numbers less than 200 are exactly divisible by either 6 or 9 or by both? The Zeros Problem In the number 203,500, the last two zeroes are called terminal zeros. The zeros after the digit 2 is not a terminal zero. How many terminal zeros does the product of the first30 counting number (1 x 2 x 3 . . . x 30) have?
Feb 22-A TAME poster will count for one slip problem this week. Counting 2's Suppose Sandy writes every whole number from 1 to 100 properly and without skipping any numbers. How many times will Sandy write the digit '2'? Multiple Products Consider all pairs of natural numbers whose sum is less than 11. The two members of a pair could be either the same as each other or different. How many different products are possible if the two numbers are multiplied? Combined Pieces of Candy Paul has half as many pieces of candy as Jennifer. Jennifer has half as many as Charles. Charles has 12 times as many as Susan. Susan has 4 pieces. How many pieces do Charles and Paul have together?
Feb 15 Short Week-only 2 problems Placement and Division 1 14-digit number N is created by writing 8 as both the first and last digits and then placing the 3-digit number 793 between the two 8s four times. What is the remainder when N is divided by 7? Do You Know Your ABCs? In this addition different letters represent different digits. What digits do A, B, C, and D represent? 6,B52 9C4 + A,37D 11,111
Feb 5 A Rectangular Shortest Path Problem ABCD is a rectangle whose sides are 3 units and 2 units long. the length of the shortest path from A to C following the lines of the diagram is 5 units. How many different shortest paths are there from A to C? Left Overs If a class of children is separated into groups of 5 children, 2 children will be left over. If the class is separated into groups of 6 children, 3 children will be left over. What is the smallest number of children the class could have? One Winter Day The month of January has 31 days. Suppose January 1 occurs on Monday. What day of the week is February 22 of the next month? (Please do not use a calendar to solve the problem!) Jan 29 Gina's Disks Exactly 10 disks are in a bowl. Each is marked with a different natural number selected from 1 through 10. Gina and Monique each select 5 disks. Two of Gina's disks are marked 2 and 8. Two of Monique's disks are marked 7 and 9. What is the largest sum that Gina's disks can have? Increasing Inaccuracy A "fast" clock gains time at the same rate every hour. It is set to the correct time at 10 AM. When the fast clock shows 11 AM the same day, the correct time is 10:52 AM. When the fast clock shows 3:30 PM that day, what is the correct time? Pattern Hunt All counting numbers are arranged in the triangular pattern as shown by the first four rows. What is the first number in the 13th row? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 . . . and so on. Jan 22 Equal Area, Different Lengths Mary's rectangular garden and Kevin's rectangular garden each have the same area, 36 square meters. Each side is measures in whole meters. Mary's garden is 1 m wider than Kevin's garden, but Kevin's garden is 3 m longer than Mary's garden. How wide is Mary's garden? Alternating Lights Each of eight traffic lights on Main Street shows green for 2 minutes, then switch to other colors. The traffic lights turn green 10 seconds apart, from the first light to the eighth light. From the tie that the first light turns green until it switches to another color, for how many seconds will all eight lights show green at the same time? Largest Possible Product Each of PQ and RS represent a 2-digit number. Different letters represent different digits, chosen from 6, 7, 8, and 9. What is the largest product that PQ x RS can have? Jan 12 What Can't be Done? Assume that a post office issues only 3 cent and 8 cent stamps and all postage is in whole numbers of cents. What is the largest amount of postage in cents which cannot be made using only 3 and 8 cent stamps? Sea Of Faces A cube has 6 faces: top, bottom and all four sides. The object shown is made of six congruent cubes. Not all faces are visible. All outer faces of the object including the bottom are painted blue. How many faces of the cubes are painted blue?
The Dart Throw Roberta throws five darts at the target shown. Each dart lands in a region of the target, scoring the points shown. Of the following total scores, list all the are NOY possible: 6, 14, 17, 38, 42, 58
Jan 5 Dec 14 no slip problems ENJOY THE HOLIDAYS!!! Dec 7 Nov 30 Nov 24 No slip problems! Happy Thanksgiving! NOV 14 Summing Up Odds and Evens D is the sum of the odd numbers from 1 through 99 inclusive, and N is the sum of the even numbers from 2 through 98 inclusive. D= 1 + 3 + 5 . . .+ 99 and N = 2 + 4 + 6 . . .+ 98 Which is greater, D or N, and by how much? Can You "C" the Answer? If the digits A, B, and C are added, the sum is the two-digit number AB, as shown at the right. What is the value of C? A B + C AB Goin' To The Fair A group of 21 people went to the county fair with 9 people on a stagecoach and 3 people in each buggy. On the return trip, 4 people rode in each buggy. How many people returned on the stagecoach?
NOV 8 Thinking Outside the Box (es) Each of the small boxes in the figure at the right 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? Thelma and Doug's Bike Thelma wants to purchase a bicycle but is $23 short. Doug wants to purchase the same bicycle but is $25 short. They decide to combine their money and the discover that they will have exactly enough money to buy the bicycle! How much does the bicycle cost? Counting Square Numbers When a natural number is multiplied by itself, the result is a square number. Since 1x1=1, 2x2=4, 3x3=9, 4x4=16, 1, 4, 9, 16, . . . are square numbers. How many natural numbers less than 500 are square numbers?
Nov 2 On the Road Joseph's car can travel 1 mile in 1 minute and 12 seconds. how many miles will his car travel in 1 hour at the given rate? Fraction Action Express the following sum as a simple fraction in lowest terms. __1__ + __1__ + __1__ + __1__ + __1__ 1x2 2x3 3x4 4x5 5x6 Counting Square Numbers When a natural number is multiplied by itself, the result is a square number. Since 1x1=1, 2x2=4, 3x3=9, 4x4=16, 1, 4, 9, 16, . . . are square numbers. How many natural numbers less than 500 are square numbers?
Oct. 27 Can you Figure Out This Figure's Area? In the figure at the right, 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? Digit Fidget How many two-digit numbers are there in which the tens digit is greater than the ones digit?
Oct.20 The Clock's Face Divide the face of the clock into three parts with two lines so that the sum of the numbers is the three parts are equal. (a standard clock with numbers 1-12; not a digital clock!) Tower Power The tower shown at the right is made of horizontal layers of unit cubes. not all of the cubes are visible in the diagram. How many unit cubes are contained in the tower?
Stringy Multiplication 3 x 3, 3 x 3 x 3, and 3 x 3 x 3 x 3 are "multiplication strings" of two 3s, three 3s, and four 3s respectively. When each string multiplication is done, 3 x 3 ends in a 9, 3 x 3 x 3 ends in a 7 and 3 x 3 x 3 x 3 ends in a 1. In what digit will a multiplications string of thirty-five 3s end?
Oct. 13 The Husband's Age The age of a man is the same as his wife's age with the digits reversed. The sum of their ages is 99 and the man is 9 years older than his wife. How old is the man? Natalie's Radio The number of two-dollar bills Natalie needs to pay for a clock radio is 9 more than the number of five-dollar bills she needs to pay for the same radio. How much does the radio cost? Mow the Lawn! Amy can mow 600 yards of grass in 1 1/2 hours. At this rate, how many minutes would it take her to mow 600 square feet? (Note: 1 yard=3 feet, but a square yard is a square with sides 3 feet long!)
Oct. 6 Maximize the Area A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the street. The house must be set back 30 feet from the street. It also must be 20 feet from the back lot line and 10 feet from each side lot line. What is the largest area that the house can have, in sq ft? Slice the Pizza Most pizzas are cut through the center like this. Notice that 5 cuts are shown, resulting in 10 pieces. Bill claims that he can get more pieces by still using only 5 cuts. If each cut must be a straight line and must go from edge to edge, what is the maximum number of pieces possible with 5 cuts? Show how you would cut the pizza to get that many. How Old is She? You are curious about how many years old your teacher is. You know the principal is between 50 and 70 years old. Your teacher is 5/9 as old as the principal. Her age is evenly divisible by 2. How old is your teacher?
Sept. 28 Sequence of Sixes The first fifteen multiples of 6 are: 6, 12, 18, 24, ..., 84, 90. What is the sum of these multiples of 6? Count the Code Using the letters A and B, the Following two-letter code words can be formed: AA, AB, BB, BA. Using the letters A, B, and C, how many different three letter code words can be formed? Add "Em Up What is the largest possible sum that can result from BAD + MAD + DAM ? If different letter represent different digits, choose from 1, 3, 8, and 9.
Sept.21 The Ice Cream Stand An ice cream stand has nine different flavors. A group of children come to the stand and each buys a double scoop cone with two flavors of ice cream. If none of the children choose the same combination of flavors, but all possible combinations of flavors are used, how many children are there? Flavors
Binding Books In any one complete day, a man can bind 100 books and his helper can bind one-quarter as many books. If they take turns working complete days, how many days would it take them to bind 500 books? Pith Possum Vacation The weather during Pith Possum's vacation was strange. It rained on 15 different days, but it never rained for a whole day.
How long was the vacation?
Sept. 14 Getting the Job Done 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 weeks contains six work days. A Purse Full of Coin Combinations A purse contains 4 pennies, 2 nickels, 1 dime and 1 quarter. Different values (amounts of money) can be obtained by using one or more coins in the purse. How many different values can be obtained? Find the Lost Value 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?
Sept. 7 Find A and B In the multiplication example shown, different letters represent different digits. Find the values of A and B. A 8 x 3 B _____ 2730 Fire Fighting on a Ladder A fire fighter stood on the middle rung of a ladder, went up 3 rungs, was forced down 5 rungs, and then went up 7 rungs to extinguish the fire. Then the firefighter climbed the remaining 6 rungs to the top of the ladder. How many rungs are there on the entire ladder? The Twins, Some Candy and Some Cents Twins Joanie and Tony each start with the same number of cents. Joanie buys 1 candy bar and has 70 cents left. Tony buys 3 candy bars at the same price and has 20 cents left. How many cents did Joanie start with?
Aug 31 An Average Round Trip A motorist made a 60 mile trip averaging 20 miles per hour. On the return trip, he averaged 30 miles per hour. What was the motorist's average speed for the entire trip? Bowling In three bowling games, Alice scores 139, 143, and 144. What score will Alice need in a fourth game to have an average score of 145 for all four games? The Four Digit Numeral Mystery The four-digit numeral 3AA1 is divisible by 9. What digit does A represent? |
