WorksheetsCML 2005-2006 and Math Counts Warm-Ups 2017-2018
Total questions: 50
Worksheet time: 3hrs 22mins
When you multiply 6 and 10, the answer is 15 more than when you multiply 5 and (a)
Juan lives 2 miles from his friend, Angelo. Juan can walk a mile in 18 minutes. If he leaves his house at 10:45 a.m., he will arrive at Angelo's house at (a) a.m.
Pencils are 7 cents and erasers are 16 cents. For exactly 76 cents, you can buy ___ pencils and ___ erasers (type a comma in between your answers like this: 1, 4 or 9, 7)
(a)
Karen spent 7 weeks this past summer with her cousin, Betty. While visiting, the girls rented 3 videos each week. "Home TV" had a registration fee of $20 and movies can be rented for $2 each. The "Video Store" had no registration fee but charged $3 for each movie rental. How much did the girls save by renting videos from "Home TV" last summer? (a)
Mr. Wilson gave 18 apples to each of the students in his class and had 5 apples left over. One student did not want any apples so Mr. Wilson gave 1 additional apple to each of the other students and had none left over. How many apples did Mr. Wilson bring into school that day? (a) apples
Start with the first 500 counting numbers. Eliminate all those divisible by 5. Add 2 to each remaining number and again eliminate all those divisible by 5. Once again add 2 to each remaining number and eliminate all those divisible by 5. How many numbers remain? (a) numbers remain
There are two problems on the left. How much needs to be added to the smaller answer to make it ten more than the larger answer? (a)
Adam turned 12 years old in 2007. His dad was 31 years old when Adam was born. In what year was Adam's dad born? (a)
A house plan uses the scale 1/8" = 1 ft. In the plan, the living room is 2" long. If the scale changed to 1/2" = 1 ft, what would be the length of the living room in the new house plan? (a) inches
The car that Mrs. Cortez drives gets 30 miles to a gallon of gasoline. The gas tank holds 15 gallons. If the gas tank is 1/3 full, she can still drive (a) miles.
When Nicholas writes a composition, he always has 9 words in a line. The 1200th word in the composition will be the ___ word in the ___ line (use a comma to separate your answers like: 4th, 7th or 9th, 21st)
(a)
How many whole numbers starting with 100 and ending with 200 have repeating digitis in the number? (Count 100 and 200 since both of those numbers have the digit zero repeating). Here are some additional examples: 131; 177; 119. (a) whole numbers
Find two positive numbers that multiply to 100 and differ by 21. ___ and ___ (separate your answers with a comma like: 7, 12)
(a)
A piece of wire is bent to form a square. Each side of the square is 15 in. If the same wire was bent to form an equilateral triangle, each side of the triangle would be (a) in.
Wally can ride his dirt bike 4 miles in 20 minutes. He is traveling at (a) mph.
Julia has 10 marbles in each of 4 bags, 7 marbles in each of 9 bags, and 5 marbles in each of 10 bags. How many bags of 9 marbles could be made using all of Julia's marbles? (a) bags
Jorge works at a golf course. He often finds lost golf balls in the woods and streams. He cleans the golf balls and puts them in packages of 3. He sells these packages of 3 golf balls for $1.89. How many golf balls does Jorge have to find before he can sell enough packages to make at least $25? (a) golf balls
A cable car can hold at most 36 adults, or 24 adults and 18 children. If only children are present, what is the maximum number of children allowed in the cable car? (a) children
Two numbers add up to 15. If their difference is 3, find their product. (a)
In the subtraction problem at the left, A and B represent different digits. Each time a letter appears, it represents the same digit. Find the sum of the two digits A + B. (a)
Two rectangles are each 12 inches long and 9 inches wide. They overlap forming a square as shown. If AB = 7" then the area of the shaded region is (a) sq in.
Mrs. Farmer lives in a rural area. When she signs on her computer to get on the Internet, she is charged a toll call. She is charge 10 cents for the first 3 minutes and then 7 cents a minute after that. She signed on at 7:15 p.m. and the charge that evening was $3.04. What time did she sign off that evening? (a) p.m.
On Homer's spelling test, he received 4 points for each correct answer and lost 6 points for each wrong answer. After 17 words, Homer had a score of 8 points. How many correct answers did he have? (a) correct answers
A local fruit and vegetable stand sells everything for $1.50 a pound. Jane selects corn, apples, and tomatoes for a total cost of $15. If she had not selected corn, the total would have been $13.50 for the apples and tomatoes. If she selected corn and tomatoes but only half as many apples, the total would have been $11.25. How many pounds of tomatoes did Jane buy? (a) pounds
A#B means (7 x A) - (5 x B) + 1.
For examples, 3#2 = (7 x 3) - (5 x 2) + 1 = 12.
Express 5#4 in simplest form. (a)
Lakeville Elementary School has 12 after-school art classes. Nine pounds of art supplies has to be equally divided among the 12 classes. Each class should receive (a) ounces of supplies.
A diagonal is a line segment that connects any two corners of a figure that are not already connected. If you have a hexagon, diagonals drawn from one vertex will divide the hexagon into (a) triangles.
At Department Store A, they sell 6 pairs of white socks for $5. Morgan had just bought 30 pairs of white socks at Department B, where 5 pairs of white socks sell for $6. How much money could she have saved if she had purchased the socks from Department Store A? $ (a)
Mr. Riley decided to lose 6 pounds a week until he got down to 180 pounds. Mr. Smith started losing 3 pounds a week two weeks after Mr. Riley started. Mr. Smith started at 195 pounds and got down to 180 pounds at the same time as Mr. Riley. At what weight did Mr. Riley start his diet and exercise program? (a) pounds
Mrs. Stevens's 6th grade class has 24 pencils, 30 pens, and 42 assignment pads. What is the largest number of baskets the class can make using all the pencils, pens, and pads. where each basket has the same number of pencils, the same number of pens, and the same number of assignment pads? (a) baskets
What is the value of 5 − 5 × 5 + 5 ÷ 5? (a)
How many diagonals are in a convex heptagon? (a) diagonals
What is the first year after 2018 that is a palindrome? (a)
A standard 52-card deck of playing cards includes four aces. What is the probability that two cards selected randomly, without replacement, will both be aces? Express your answer as a common fraction. Use the slash / to type your fraction. (a)
What is the answer to the problem on the left? Express your answer in simplest radical form by filling in the blanks (use a comma in between your answers). ___ ___
(a)
The temperature dropped from 13 °F to −5 °F. How many degrees Fahrenheit is the
absolute value of the change in temperature? (a) °F
What is the value of 1 × 2 + 3 ÷ 6 × 5 − 4? Express your answer as a common fraction. (a)
If x ® y is defined as x2 − y2 , what is the value of 3 ® (2 ® 1)? (a)
If the digits 7, 8, 2, 3 and 0 are used, each exactly once, to form a three-digit positive integer and a two-digit positive integer that differ by exactly 288, what is the sum of the three-digit integer and the two-digit integer? (a)
In rectangle ABCD, point P lies on side BC and point Q lies in the interior of the rectangle so that triangle APQ is equilateral. If the measure of angle PAB is 17 degrees, what is the measure of angle QPC? (a) degrees
Kim is knitting a baby blanket that requires 750 meters of yarn. There are 180 meters of yarn in each ball. How many balls of yarn must Kim buy to ensure she has enough yarn to complete her blanket? (a) balls
On Chris’ birthday in 1992, he was half the age of his brother Joseph. On Chris’s birthday in 1998, he was two-thirds the age of Joseph. How old will Chris be on his birthday in 2018? (a) years old
On a standard 12-hour clock, the minute hand moves continuously, at a constant rate, making one full revolution every hour, and the hour hand moves similarly, making one full revolution every 12 hours. What is the measure of the smaller of the two angles between the minute hand and the hour hand, in degrees, when the clock reads 5:42? (a) degrees
What is the value of the expression 12 × 37 + 12 × 7 + 12 × 6? (a)
How many distinct positive factors does 2018 have? (a) factors
Two fair six-sided dice, with sides numbered 1 through 6, are rolled. What is the probability that the values on the two top faces add to at least 9? Express your answer as a common fraction. (a)
If the graph of the equation y = mx + b is a line passing through the points (6, 13) and (10, 31), what is the value of m? Express your answer as a common fraction. (a)
Dewey buys soda in 12-ounce cans that cost $1.00 each. Peppar buys soda in 20-ounce bottles that cost $1.25 each. If Dewey and Peppar buy the same volume of soda in one week, then Peppar pays P % less than Dewey. What is the value of P ? (a)
Gerald Scheetz is building a log cabin. If each log is 9 inches in diameter, how many logs must be stacked on top of one another to create a wall that has a height of 12 feet? (a) logs
A square with area 8 sq units is inscribed in a circle. What is the area of the circle? Express your answer in terms of π. (a) π sq units
