Easy Problems
Whole Number WP
Decimal WP
GCD & LCM WP
AMC 8
100
Preet got 8 problems right on the sprint last week. She got 12 problems right this week. By how many problems did she improve?
12 - 8 = 4
She improved by 4 problems.
100
Frank is putting a tablecloth over a table. The tablecloth hangs 7 inches below the tabletop on one side and 13 inches on the other side. What is the proper length when the tablecloth is centered?
(7 + 13) ÷ 2 = 20 ÷ 2 = 10 in
It's 10 inches on each side.
100
Sunny uses a 3-liter pitcher to serve lemonade to 24 of his friends. How many times will he need to fill the pitcher in order to serve each friend 500 milliliters of lemonade?
500 mL = 0.5 L
24 x 0.5 = 12 L
12 ÷ 3 = 4
Sunny needs to fill the pitcher 4 times.
100
A red Christmas light blinks every 3 seconds, and a green Christmas light blinks every 5 seconds. If they start by blinking at the same time, in how many seconds will they both blink again?
LCM (3, 5) = 15
100
How many square yards of carpet is needed to cover a room that is 12 feet long and 9 feet wide? (1 yd = 3 ft)
12 ft ÷ 3 = 4 yd
9 ft ÷ 3 = 3 yd
4 x 3 = 12 yd2
200
Isabel practiced basic facts by doing a worksheet. The worksheet has 8 problems in each section and 6 sections on each page. How many problems are there on each page?
6 x 8 = 48
There are 48 problems on each page.
200
Fiona is making bows from a 16-yard-long ribbon. Each bow takes 1 foot 6 inches ribbon to make. How many bows can she make?
(16 xx 36)/(12+6)=(16xx36)/18=16xx2=32
200
What is the volume of a box that is 2.5 inches long, 1.2 inches wide, and 3.6 inches high?
2.5 x 1.2 x 3.6
=(2.5 x 4) x (0.3 x 3.6)
= 10 x 1.08
= 10.8 in3
200
A marching band has 30 woodwind players and 15 brass players. If they form rows of equal number of players, and each row has only woodwind players or brass players, but not both, what is the most number of people each row can fit?
GCD(15, 30) = 15
200
What fraction of the octagon is shaded?
7/16
300
Yuru drank 280 mL of water from her water bottle in the morning, 350 mL during lunch, and 490 mL in the afternoon. How many milliliters of water did she drink? If her water bottle holds 1.5 L of water, how much water is still left?
280 + 350 + 490 = 1120 mL
1500 - 1120 = 380 mL
She drank 1120 mL. There is 380 mL of water left.
300
Tommy and Facey are planting trees on a 88-foot by 160-foot lot. On each 8-foot-by-8-foot square, they will plant 4 saplings. How many tree saplings will they plant in all?
(88xx160)/(8xx8)xx4=11xx20xx4=11xx80=880
300
Mr. Guyette mixed 1.05 liters of a creative solution and 0.85 liters of discipline solution. Equal amount was poured into 10 empty beakers. How many milliliters was poured into each beaker?
(1.05 + 0.85) ÷ 10
= 1.9 ÷ 10
= 0.19L = 190 mL
300
Huy has a violin lesson every 6 days and a piano lesson every 9 days. If he has both lessons on October 10, which day will he have both music lessons again the next time?
LCM(6, 9) = 18
Oct 10 + 18 = Oct 28
He will have both lessons again on Oct 28.
300
Melissa and Avril are going to a park one mile from school. They leave at the same time. Melissa rides her bike at 10 mph. Avril walks at 4 mph. How many minutes before Avril does Melissa arrive?
Melissa's time: (distance)/(speed)=time=1/10hrxx60=6min
Avril's time: 1/4hrxx60=15min
15 - 6 = 9 minutes
400
With each practice sheet, Frank improves by 4 problems on the basic facts sprint. If Frank starts with 4 out of 32 right, how many practice sheets does he need to do so that he can reach 32 out of 32?
(32 - 4) ÷ 4 = 28 ÷ 4 = 7
Frank needs to do 7 practice sheets.
400
A building has six walls. Each wall measures 30 yards long 5 yards tall. A gallon of paint can cover an area that measures 15 feet by 20 feet. How many gallons of paint does it take to cover all the walls with two coats?
one wall: ((30xx3)(5xx3))/(15xx20)=(90xx15)/(15xx20)=9/2
six walls: 9/2xx6=27
Two coats: 27 x 2 = 54 gallons
400
The school store sells cello strings for $36.89 per pack. It buys in the strings at $400 for 20 packs. If the store sold all 20 packs, how much money did it make?
36.89 x 20 = 737.8
737.8 - 400 = $337.80
400
A manufacturer produces a cloth that is 16 feet wide by 20 feet long. What is the least number of square towels that can be cut from the cloth?
The larger the towels, the fewer can be cut. The least number of square towels corresponds to the largest towel, which has a side length of GCD(16, 20) = 4 ft. 16 ÷ 4 = 4, and 20 ÷ 4 = 5. Then the least number is 4 x 5 = 20 towels.
400
Zonny, Aurelien, Linda, Rosie, and Christina are taking a yearbook picture. The photographer wants the boys at either end, and the three girls in the middle. How many different ways can the students be arranged?
Boys: A_ _ _Z or Z _ _ _ A
Girls: CLR, CRL, LCR, LRC, RCL, or RLC
Total: ACLRZ, ACRLZ, ALCRZ, ALRCZ, ARCLZ, ARLCZ
ZCLRA, ZCRLA, ZLCRA, ZLRCA, ZRCLA, or ZRLCA
There are 2 x 6 = 12 arrangements.
500
Fara counted money for a fundraiser: 3 one-hundred-dollar bills, 2 fifty-dollar-bills, 34 twenty-dollar bills, 50 ten-dollar bills, 20 five-dollar bills, and 32 one-dollar bills. How much money did she count?
3 x 100 + 2 x 50 + 34 x 20 + 50 x 10 + 20 x 5 + 32 x 1
= 300 + 100 + 680 + 500 + 100 + 32
= 400 + 680 + 600 + 32
= 1080 + 632 = $1712
500
Anna traveled 2,160 miles in 36 days. Antonia traveled 2,241 miles in 27 days. If Antonia had traveled at the same rate for 9 more days, how many more miles would she have traveled than Anna?
2241 ÷ 27 x 36 = 2988
2988 - 2160 = 828 miles
500
A shop owner bought 10 pounds of cashews at $3.65 per pound and 12 pounds of pecans at $4.75 per pound. He mixed up the nuts and sold them to customers. How much is each pound of mixed nuts? (Round up to the nearest cent.)
10 x 3.65 + 12 x 4.75
= 36.5 + 57 = 93.5
93.5 ÷ 22 ≈ $4.25
500
Leo and Hoang both saw a number. Leo noticed the number is divisible by 12. Hoang noticed it's divisible by 8. The number is three digits. What is the smallest number they could have seen?
LCM(8, 12) = 24
24, 48, 72, 96, 120
The smallest number is 120.
500
Eva and Yukai each have a box that contains three numbers: 1, 2, and 3. Each person draws a number without looking. What’s the probability that their product is even?
The probability is 5/9.
