Operations & Algebraic Thinking
Which number is composite?
11 , 13 , 17, 21
21
(a composite number has more than 2 factors)
A runner jogs 6 miles each day. She jogged 162 miles in total. How many days did she run?
27 days
(Divide 162 and 6)
Name 2 fractions that are equivalent to 4/6.
Possible Answers:
2/3 , 8/12 , 16/24 , 20/30 , 24/36 , etc.
List the decimals in order from LEAST to GREATEST:
12.2 , 12.04 , 12.6 , 12.57
12.04 , 12.2 , 12.57 , 12.6
(line the decimals up to compare)
A rope is 15 meters long. How long is it in centimeters?
1,500 cm OR 1,500 centimeters
(1 meter = 100 centimeters ; multiply 15 x 100)
(you must have the unit written with the number to get your points!)
Leopard Country has 1,687 students. Wildcat Nation has 1,392 students. Gator Land has 1,468 students. Rounded to the nearest hundred, how many students are there in all?
4,500 students
(1,687 + 1,392 + 1,468 = 4,547)
A concert had 7,452 people on Friday and a total of 15,980 people across both days. How many people attended on Saturday?
8,528 people attended Saturday
(subtract 15,980 - 7,452)
What is 7/10 - 22/100?
48/100
(convert 7/10 to 70/100 to subtract from 22/100)
What is 14/3 - 6/3?
2 and 2/3
(subtract your numerators to get 8/3. Convert the improper fraction to a mixed number)
How many 5-kg weights are needed to balance 35 kg?
7 weights
(Divide 35 and 5)
There are 540 people outside a stadium. There are 6 times as many people outside as inside. How many people are inside?
90 people are inside
(you have to divide to find out how many people were INSIDE the stadium)
There are 16 buses. Each bus has 22 seats. How many seats are there in all?
352 seats
(multiply 16 x 22)
Mr. Moore had a pie for your teachers. Mrs. Keene ate 2/9 of the pie. Ms. Hoey ate 4/9 of the pie. How much of the pie was left?
1/3 of the pie was left
(First, you add 2/9 + 4/9 = 6/9. Then, you subtract from the whole 9/9 - 6/9 = 3/9 , which is SIMPLIFIED to 1/3)
Each serving of juice is 3/4 cup. How many cups are needed for 7 servings?
5 and 1/4 cups
(Multiply 7 and 3/4 to get 21/4. Convert the improper fraction to a mixed number.)
(Draw and label the angle)
Angle AOB is 40 degrees and angle BOC is 70 degrees. What is the degrees for angle AOC?
110 degrees
(add the 2 angles together 40 + 70)
(BONUS: What kind of angle is AOC?)
A jacket costs 4 times as much as a hat. The jacket costs $36. What is the total cost of both items?
$45
(First, find the cost of the hat by dividing the jacket cost by 4 to get $9. Then, add the cost of both items: $36 + $9 = $45)
A family walked 48,920 steps in a week. They walked 19,458 steps on the weekend. How many steps did they walk on weekdays?
29,462 steps
(subtract 48,920 - 19,458)
What is the sum of 0.45 + 0.32 + 0.1?
0.87
(line the decimals up to properly add)
Of their math homework, Sally completed 5/6, David completed 3/4, Carol completed 2/3, and Ethan completed 7/8. Who completed the LEAST amount of homework?
Carol completed the LEAST amount of homework
(Draw your models to compare each fraction.)
A rectangle has a perimeter of 48 ft. The length is 14ft. What is the width?
10 ft. OR 10 feet
(Divide the perimeter in half: 48 divided by 2 equals 24. Subtract the length to find the width: 24 - 14 = 10.)
(BONUS: What is the area of the rectangle?)
A class baked 72 cupcakes. 2 trays were chocolate, and 6 trays were vanilla. Each tray had the same number of cupcakes. How many vanilla cupcakes were there?
54 vanilla cupcakes
(First, find out how many total cupcake trays there are by adding 2 + 6 = 8. Then, divide the 72 cupcakes by 8 because we need to know how many cupcakes are on each tray. 72/8 = 9. Then multiply the number of vanilla trays - 6 by the number of cupcakes per tray - 9 because it is ONLY asking about VANILLA cupcakes. 6 x 9 = 54)
A florist has 428 flowers and puts 8 flowers in each vase. How many vases does she need for all flowers?
54 vases
(Divide 428 and 8 to get 53 with a remainder of 4. Those remaining 4 flowers need to be put in a vase, so you will need ONE MORE vase just to put those 4 flowers)
Sophia ran 1/3 of a mile, Olivia ran 4/6 of a mile, Aubrey ran 1/2 of a mile, and Tyreonia ran 3/4 of a mile. Who ran the farthest?
Tyreonia ran the farthest
(You must compare the fractions by drawing models. Remember, your models MUST be the same size when comparing.)
A box has 16 pencils. A student gave away 4 of them. What fraction of the pencils were given away?
1/4 of the pencils were given away
(The fraction is 4/16, which should be simplified to 1/4).
A lawn mower covers 120 square feet in 10 minutes. At this rate, how much can it cover in 1 hour?
720 square feet in 1 hour
(Find the rate per minute by dividing 120 and 10 to get 12 square feet. Convert the 1 hour to 60 minutes. Multiply 12 square feet by 6 minutes.)