Whole Numbers
Decimals 1
Decimals 2
Hard WN Prob
Hard Deci & Frac Prob
LCM & GCD Prob
100
Tommy plays the violin between 2 to 3 hours a day. Which of the following is a reasonable estimate of how many hours he plays in a month?
A. 30 hours B. 50 hours
C. 55 hours D. 70 hours
D. 70 hours
100
Antonia studied a total of 30.6 hours over a period of six days. On average, how many hours did she study each day?
30.6 ÷ 6 = 5.1 hr
100
A rectangle is 1.7 meters long, 35 centimeters wide. What is its perimeter in meters?
(1.7 + 0.35)2
= 2.05 x 2
= 4.1 m
100
What is the GCD and LCM of 8 and 15?
GCD(8, 15) = 1
LCM(8, 15) = 120
200
Yukai carries a luggage and steps onto a scale, which reads 150 pounds. After she puts down the luggage, she steps back on the scale and weighs 90 pounds. How many pounds is the luggage?
150 - 90 = 60 pounds
200
An electrician cuts five pieces off a 10-foot electrical tape. Each piece he cut is 1.25 feet long. How many feet of tape remain?
10 - 5 x 1.25
= 10 - 6.25
= 3.75 ft
200
A rectangle has a perimeter of 5 yards. If its width is 2 feet, what is its length?
5 yr = 15 ft
(15 - 2 x 2) ÷ 2
= (15 - 4) ÷ 2
= 11 ÷ 2
= 5.5 ft
200
Isabel baked 32 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants to have the greatest number of containers possible, how many plastic containers does she need?
GCD(32, 48) = 16
300
Facey took 54 photos on a field trip. He can place between 6 to 10 photos on one page of his photo album. If he places the same number of photos on each page, what is the maximum number of photos he could place on one page?
9 photos
300
What is the area of the triangle?
3.5 x 1.8 ÷ 2 = 3.5 x 0.9 = 3.15 km2
300
The student council bought a box of chocolate bars for $60.00. The box contains 60 bars. Each chocolate bar is sold for $1.50. How much money can the student council make on one box of chocolate?
60 x 1.50 = 90
90 - 60 = $30
300
If today is Monday, what day of the week is it 100 days from now?
100 ÷ 7 = 14 R 2
Every seven days, it will return to Monday. Since the remainder is 2, it will be Wednesday.
300
Two pencils and three pens cost $0.78. Three pencils and two pens cost $0.72. What is the cost of a pencil?
2 pencils + 3 pens = 0.78
3 pencils + 2 pens = 0.72
______________________
4 pencils + 6 pens = 1.56
9 pencils + 6 pens = 2.16
______________________
5 pencils = 0.60
1 pencil = $0.12
300
Boxes that are 15 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
LCM(15, 18) = 90
400
A school is painting a mural that measures 32 feet long by 8 feet high. The mural is divided into 4-foot-by-4-foot squares. Each square is to be painted by 2 students. How many students are there in all?
(32 x 8) ÷ (4 x 4) x 2
= 32 x 8 ÷ 16 x 2
= 32 ÷ 16 x 8 x 2
= 2 x 8 x 2
= 16 x 2 = 32 students
400
What is the volume of the box?
7.5 x 4.2 x 2.2
7 1/2xx4 1/5xx2 1/5
=51/2xx21/5xx11/5
=3/2xx21/1/xx11/5
=(63xx11)/10=693/10=69.3 cm^3
400
You bought 16 pounds of cashews at $3.25 per pound and 15 pounds of pecans at $4.50 per pound. You mixed up the nuts and sold them to customers without charging extras. How much is each pound of mixed nuts? (Round up to the nearest cent.)
(16 x 3.25 + 15 x 4.50) ÷ (16 + 51)
= (52 + 67.5) ÷ 31
= 119.5 ÷ 31
= 3.854 ... ≈ $3.86/lb
400
How many different amounts of postage can be made with 4 three-cent stamps and 3 five-cent stamps?
4 x 5 -1 = 20 - 1 = 19
400
1/(1xx2)+1/(2xx3)+1/(3xx4)+1/(4xx5)+1/(5xx6)=
1/(1xx2)+1/(2xx3)+1/(3xx4)+1/(4xx5)+1/(5xx6)=
1/2+1/6+1/12+1/20+1/30
=30/60+10/60+5/60+3/60+2/60
=50/60=5/6
400
Pencils come in packages of 10. Erasers come in packages of 16. Jacob wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should he buy?
LCM(10, 16) = 80
He should buy 8 packages of pencils and 5 packages of erasers.
500
A 30-foot by 30-foot room is to be tiled. Each tile is 24 inches by 24 inches. How many tiles will it take to cover the entire room?
24 in = 2 ft
(30 ÷ 2)(30 ÷ 2)
= 15 x 15
= 225 tiles
500
What is area of the whole figure if all triangles are congruent?
5 x (4.33 x 2) ÷ 2
= 5 x 4.33
= 21.65 cm2
500
Melissa buys 3 gallons of ice cream for $44.85, a box of ice cream cups for $7.75, and $5 for plastic spoons. She sells ice cream by the scoop. Each scoop is one cup. How much how should she charge each scope if she is to make $24?
3 gal = 48 cups
(44.85 + 7.75 + 5 + 24) ÷ 48
= 81.6 ÷ 48
= $1.70
500
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 =
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 = 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 + 13 = 13 x 25 = 325
500
Eva has 30 coins consisting of only nickels and quarters. The total value is $4.10. How many nickels does she have?
0.05n + 0.25q = 4.10
0.05n + 0.25(30 - n) = 4.10
0.05n + 7.5 - 0.25n = 4.10
0.20n = 3.40
n = 17
500
A choreographer wants to choreograph a production in which dancers can be arranged in groups of 4, 6, and 9 without any one left over. What is the least number of dancers that can accomplish this?
LCM(4, 6, 9) = 36