Rafael Cantu Junior High

Holiday Math Assignments

6th Grade

Student Name: ______

Student ID #:______

Teacher: ______

Class Period: ______

Day 1: December 27, 2012 Parent Signature ______

  1. Fifty-six ants marched in a row. Each ant had six legs. If half of the ants marched into the ant hill, how many PAIRS of legs are still marching? Justify your solution. Show your work.
  1. 53 people are going on a tour of downtown Houston. If 6 people can fit in a car, how many cars are needed? Justify your solution. Show your work.
  1. Below, explain in complete sentences how tosolve the following problem. Then solve. Show your work.

Stylists at a hair salon charge $26 for each haircut. If they gave 63 haircuts, how much money did they collect, not including tips?

Day 2: December 28, 2013 Parent Signature ______

  1. A mouse scampered around a barn for a day and a half before being caught by Kitty the Cat. The mouse slept one fourth of the time. How much time did the mouse run around? Justify your solution. Show your work.

A. 36 hours

B. 27 hours

C. 12 hours

D. 9 hours

  1. Janet can read between 100 and 120 words per minute. At this rate, what is the best estimate of the total number words that Janet can read in five minutes?

Justify your solution. Show your work.

A. 400

B. 550

C. 600

D. 680

  1. Draw a model to simplify the problem . Then find the difference.

Day 3: December 29, 2012 Parent Signature: ______

  1. Juan bought ice cream cups and cupcakes for his birthday party. Ice cream comes in packages of 12 and cupcakes came in packages of 8. He wanted an equal number of ice cream cups and cup cakes. What is the smallest number of packages he bought? Justify your solution. Show your work.
  1. Five friends are in line to buy movie tickets. Vernon is behind Laura. Sean is behind Vernon. Ari is ahead of Laura. Pablo is behind Sean. How are the friends lined up? Draw a picture to justify your solution.
  1. Which of the following is the least common multiple that Cassy can use to add 3 fractions with the denominators of 4, 6, and 8? Justify your solution. Show your work.

a.32b.48

c.24d.192

Day 4: December 30, 2012 Parent Signature: ______

  1. Put the following fractions in order from least to greatest. Use a number line to place the fractions in order from least to greatest to justify your solution.

, , ,

  1. Mr. Simmons is making his special holiday punch for the annual party. His secret recipe is no longer a secret! For every quart of strawberry juice, he adds 3 quarts of pineapple juice and 5 quarts of orange juice. How many total quarts of juice will he need to make 5 batches of his special holiday punch?Justify your solution. Show your work.
  1. Harry knitted squares one day and squares the next day. How many did he knit altogether?

Day 5: January 2, 2013 Parent Signature: ______

  1. Sara bought a notebook for $0.89, a calculator for $11.99, and a binder for $2. How much did Sara spend for these items? Justify your solution. Show your work.
  1. Solve. Explain in steps how you solved this problem.

4 x (18-9)

First I ______then I ______after that I ______

  1. The band is setting up chairs for the concert in the school auditorium. They can put 25 chairs in each row. How many rows will they need to seat 350 people? Justify your solution. Show your work.

Day 6: January 3, 2013 Parent Signature: ______

  1. Larry has three fabric samples measuring ⅚yd, ¼ yd, and ⅔yd. He estimates the total length to be about 1 ½ yd. Is his estimate reasonable? Why? Why not? Justify your solution. Show your work.
  1. The ratio of boys to girls in the cafeteria was 6 to 5. If there were 30 girls, how many boys were there?

If there are 60 girls, 80 girls, 100 girls, 150 girls, how many boys?

Build a Ratio Table to justify your solution.

  1. Wanda knitted rows of her sweater on Monday and 17.75 rows on Tuesday. How many more rows did she knit on Tuesday? Give the answer in fraction form. Justify your solution. Show your work.

Day 7: January 4, 2013 Parent Signature______

  1. Marcus has a board that is 10 feet long. If he cuts 3 pieces that are each

2 ⅔ feet long from the board, how much of the board will he have left?Justify your solution. Show your work.

  1. Mrs. Ling bought 2 ½ dozen balloons for the party. Is this enough balloons for 30 children to each get one balloon? Draw a model of this problem to justify your solution.
  1. Which group of fractions is correctly ordered from greatest to least? Justify your solution.

a)b)

c)d)

Day 8: January 5, 2013 Parent Signature ______

  1. Which of the following decimal numbers would fit on the section of a number line seen below? Justify your solution.

a)2.4b)1.13c)0.7

  1. A mechanical monster is 2.1 meters tall. Will it fit into a shipping box that is 225 cm long? (Yes or No) (1 meter = 100 centimeters) Justify your solution.
  1. Roy made 64 ounces of punch. How many gallons did he make?

(1 gallon = 128 ounces) Justify your solution. Show your work.

  1. For each person at his party to have 500 mL of punch, Antonio calculated that he needed 36,000 mL of punch. How many liters of punch should he make?

(1 liter = 1000 milliliters) Justify your solution. Show your work.

  1. When Sam began driving Monday morning his mileage gauge read 502.8 miles. When he stopped Monday night it read 620 miles. How many miles did he drive that day? Justify your solution. Show your work.

Day 9: January 6, 2013 Parent Signature ______

  1. The sixth grade class wants to have a dance. The students decided that they will serve trail mix. The recipe below will feed 20 students.

How much of each ingredient will be needed to feed sixty people at the dance?

Justify your solution. Show your work.

  1. Mr. Smith handed out 32 sheets of graph paper equally among 8 groups of students. Which equation can be used to find s, the number of sheets of paper each group received? Justify your solution. Show your work.
  1. S = 32 + 8
  2. S = 32 ∙ 8
  3. S = 32÷ 8
  4. S = 32 - 8
  1. At Sandra’s school there is 1 teacher for every 15 students. There are 630 students at the school. Write a proportion that can be used to find x, the number of teachers?

Day 10: January 7, 2013 Parent Signature: ______

  1. What is the rule to find the value of a term in the sequence below?Justify your solution. Show your work.

Position / Value Term
1 / 1
2 / 4
3 / 7
4 / 10
5 / 13
n / ?
  1. What is the prime factorization of 220? Show your work.
  1. Acorn woodpeckers live in families. The family members collect acorns and store them in the trunks of trees. The table below shows the number of acorns collected and eaten by a family of woodpeckers in three days.

Acorns Collected and Eaten

Day / Collected / Eaten
Monday / 23 / 8
Tuesday / 29 / 10
Wednesday / 42 / 9

If the family had stored 428 acorns before Monday, which expression describes the information in the table? Then write an equation to solve how many acorns are available for Thursday. Justify your solution. Show your work.

  1. 428 – 23 + 8 =29 -10 + 42 – 9
  2. 23 – 8 + 29 – 10 + 42 – 9 – 428
  3. 428 + 23 – 8 + 29 – 10 + 42 – 9
  4. 23 + 8 _ 29 + 10 – 42 + 9 + 428

Morgan Apple Math Activities1

Grade 6