Algebra 35% Number & Operations 28% Geometry Measurement 19% Data Analysis & Probability...

Algebra 35%Number & Operations 28%Geometry Measurement 19%Data Analysis & Probability 18%

6th GRADE CRCT

ALGEBRA Equations - Expressions –

Patterns - Ratio - Proportions

Inequality

To ride the Superman Roller Coaster at Six Flags, you must be at least 4 feet or taller. Represent this with a variable.

A. x ≤ 4 B. x ≥ 4 C. x = 4 D. x – 4

InequalityChildren older than 8 cannot eat off the children’s menu.

Solve the equation.         7x = 63

A. x = 8 B. x = 11 C. x = 9 D. x = 10

You are going to a summer camp 327 mi from home. If you drive at an average rate of 62 mi/h, about how long will it take you to get there?

A. 5 hours B. 3 ¼ hoursC. 4 hours D. 5 ½ hours

ProportionsThe two triangles are similar. What is the length of the base of the smaller triangle?

A. 9 cm B. 12 cm C. 15 cm D. 18 cm

The Lions School expects to have 162 seventh-grade students next year. If the school has 9 teachers, what will be the ratio of students to teachers?

A. 9 to 1 B. 18 to 1 C. 1 to 9 D. 1 to 18

A little league baseball coach needs to buy new baseballs for league play. Each baseball costs $2.85. Which expression can the coach use to determine the price of a dozen baseballs?

A. 13 x $3.00 B. 10 x $2.85 C. 12 x $2.85 D. 1 x $2.85

If a = 24, evaluate

49 – a + 13.A.86

B.60C.38D.12

What is the solution to the inequality

x - 6 > 3? A. x < 9 B. x > 9 C. x < 3 D. x > 3

Jennifer went to the store and spent $6.00 on school supplies and received $4.00 back in change. How

much money did she take to the store? Which equation would represent the problem?

A. n-6=4 B. 4+n=6

C. n=6-4 D. n+6=4

Susan, Katrina, and Roderick went ice-skating. Admission prices are shown below. Susan and Katrina are 12 years old, and Roderick is 9 years old. What was the total cost for their admission and skate rental?

A. $8.25 B. $15.75 C. $16.50 D.$24.75

What is the pattern in the following table? A. y = 6x B. y = 3x C. y = 5x D. y = 2x

Lucas has to read a total of 164 pages in a novel for his English class. He has already read 36 pages. He has 4 more days to complete the assignment. If he reads the same number of pages each day, how many pages per day does he need to read to finish the assignment?

A. 5 pages/day B. 32 pages/day C. 36 pages/day D. 41 pages/day

Julio’s car travels 69 miles on 3 gallons ofgasoline. How many miles can he travel on 7 gallons of gasoline?

A. 21B. 23C. 161D. 207

Which graph is the solution to the inequality? x + 5 < 7

Which mathematical expression models this word expression?Five times the difference of a number and 3

A. 5n – 3 B. 3 – 5n C. 3(5 – n) D. 5(n – 3)

Nathan has 5 fewer than twice the number of sports cards Gene has. If c represents the number of sports cards Gene has, which expression represents the number of cards Nathan has?

A. 5c – 2 B. 2c – 5C. 2(c – 5) D. 5(2c)

Solve the following equation and check

your solution.9n = 54

A. 5B. 6C. 7D. 8

A. 15w < 100 B. 15w < 100C. 15w > 100 D. w + 15 > 100

Toby is saving $15 per week. Which inequality shows how to find the number of weeks (w) Toby must save to have at least $100?

A. 5 B. 21 C. 124 D. 188

Mona's bank charges a $10 fee per month plus a $0.12 fee per check. The formula below gives f, the total fee in dollars for a month in which Mona writes n checks. f = 10 + 0.12nHow many checks did Mona write during a month in which her total fee was $12.52?

The table shows the relationship between j, Jerry's age and t, Tara's age. Which equations represents the relationship in the table?

A. t = j + 6 B. t = 2j + 1 C. t = 2j + 2 D. t = 6j

Mark burns 51 calories when he plays volleyball for 15 minutes. At this rate,

how fast is Mark burning calories?

A. calories per minute B. calories per minute

C. calories per minute D. calories per minute

517

32

23

175

A. 8 (x - 3) B. 8x + 3C. 8 (x + 3) D. 8 – 3x

The mathematical expression that models the word expression “eight times the difference of a number and 3”

Shari made a $2,400 down payment on a car. Her car payments are $300.00 per month.

If she has a total of 36 monthly payments to make, what is the total cost of the car?

a. 2,700 dollars b. 13,200 dollars c. 10, 300 dollars d. 36 dollars

Murphy had 5.82 pints of red paint, 7.93 pints of blue paint, 2.16 pints of orange paint, and 9.07 pints of green paint. How many pints of paint did Murphy have?

A. 24.98 pintsB. 23.198 pintsC. 13.88 pintsD. 24.88 pints

A. x ≤ 4 B. x ≥ 4C. x = 4 D. x – 4

To ride the Superman Roller Coaster at Six Flags, you must be at least 4 feet or taller. Represent this with a variable.

Number & Operations Factors - Multiples - Fractions - Decimals

Percents

Add.            5.924           +3.714

A. 8.638 B. 2.210 C. 9.638 D. 2.238

Mandy is able to clean 2 rooms per hour. If she works 6 hours per day, 5 days per week, how many rooms can she clean in 3 weeks?

A. 40B. 60C. 120D. 180

A sweater is on sale for 20% off. The regular price is $42.00. Which of the following is the BEST estimate of the sale price?

A. $20.00 B. $62.00

C. $8.40 D. $32.00

(A) 0.58% (B) 0.625%

(C) 6.25% (D) 62.5%

What is written as a percent?58

A. 1, 4, 6, 21 B. 1, 3, 7, 21C. 0, 3, 7, 21 D. 3, 7, 8, 21

Which is a list of factors for 21?

Solve the expression 75 ÷ 3 – 8 x 2

A. 4 B. 9

C. 19 D. 34

Which of the following expressions is equal to 5?

A. 5 + 3 – (4 + 1)B. 5 + (3 – 1) + 4

C. (5 + 3) – (1 + 4)D. (5 + 3) – (4 – 1)

A. {80, 88, 96, 104} B. {80, 88, 96, 103}C. {80, 88, 98, 104} D. {80, 84, 96, 104}

Which set contains only multiples of 8?

Mr. Fernandez is purchasing meat for a party. If Mr. Fernandez buys 2.8 pounds of meat that costs $5.75 per pound, what is the total cost of his purchase? A. $11.50 B. $17.25 C. $16.10 D. $16.50

A. 6 B. 11C. 27 D. 40

Which of these is a prime number?

A. 32 B. 45C. 48 D. 57

Which number is divisible by both 3 and 6?

Which of the following expressions is equal to 5?

A. 5 + 3 – (4 + 1)B. 5 + (3 – 1) + 4

C. (5 + 3) – (1 + 4)D. (5 + 3) – (4 – 1)

What is the Value of

A. B. C. D.

5 17 3

610

67

227

2221

Kelvin needs a wrench that is larger than inch. He has wrenches with the following sizes:

inch, inch, inch, and inch.Which wrench should he use?

A. Inch B. Inch

C. Inch D. inch

58

58

78

78

1116

916

916

1116

34

Four friends wanted to share three different pizzas—one cheese, one sausage, and

one pepperoni. If the pizzas were cut into eight slices

each, how many slices would each friend get?

A. 6 B. 7 C. 8 D. 12

What is written as a percent?

(A) 0.58% (B) 0.625%(C) 6.25% (D) 62.5%

58

Ming wants to buy an Alamo Mug for $8 and a San Antonio Map for $5. She must pay a 6% sales tax on the total amount of her purchase. If she buys these items, how much will she pay in all?

A. $13 B. $13.78 C. $19.78 D. $14.78

The cost of Matt and Natalie’s dinner was $27.50. They want to leave a 20% tip. Which of the following is closest to the amount of the tip they want to leave?

A. $4.00B. $4.50C. $5.00D. $5.50

Lee earns $4.00 an hour helping in a gardenthat is 143 feet by 95 feet. He earned $84.00last month. How many hours did he work?

A. 21B. 80C. 88D. 179

Karla brought 4 1/6 gallons of ice cream. Lesley brought 8 5/7 gallons of ice cream.How much ice cream did they bring in all?

A. 12 7/13 gallons B. 12 5/42 gallonsC. 12 37/42 gallons D. 13 1/42 gallons

For large parties, a restaurant adds a 15% service charge to the bill. How much would be added to a bill of $638.40?

A. $427.68B. $63.84C. $95.76D. $150.00

Which expression does NOT represent these fractions ?

8/10 ½ 1/5 ¾

A. 40% B. 4 out of 20

C. 50 ÷ 100 D. 75%

Jan has 66 pieces of candy, and Len has 60 pieces of candy. If Jan and Len combine their candy and share it evenly among 6 people, howmany pieces of candy will each person get?

A. 126 B. 120 C. 21 D. 11

A novel is 144 pages long. If Jorge has read the first 36 pages, what percent of the book has he completed?

A. 14%B. 25%C. 36%D. 75%

Which of these is a prime number?

A. 6B. 11C. 27D. 40

Which is the equivalent multiplication

problem for ?

A. B.

C. D.

3 24 3

X4 33 2

X4 23 3

X3 34 2

X3 24 3

Which number is divisible by both 3 and 6?

A. 32B. 45C. 48D. 57

What is the value of

A. -1 B.

C. D.

4 23 5

45

25

815

What is the value of the expression?

Which expression does NOT represent ?

A. of 40% B. 4 out of 20

C. 50 ÷ 100 D.

15

12

840

A jacket costs $72 plus

8% sales tax. What is

the total cost of the

jacket?

A. $5.76

B. $9.00

C. $77.76

D. $81.00

An oil tank is full. If 125 gallons are addedto the tank, it will be full. How many gallons are

in the tank when it is full?

A. 62 gallons B. 125 gallons

C. 128 gallons D. 250 gallons

12

12

12

Geometry Measurement

Symmetry - Solids - Measure Length - Convert

Measurements - Surface Area Area - Perimeter – Volume

. Charity walked 14.6 miles for a local charity. How many feet did she walk? A. 6307.2 ft B. 25,696 ft C. 77,088 ft D. 231,264 ft

A preschool is required to have a playground of at least 900 square feet. Which of the following would be satisfactory measurements for a playground for the school?

(A) 30 feet by 32 feet (B) 27 feet by 30 feet(C) 15 feet by 40 feet (D) 10 feet by 80 feet

What is the perimeter of this complex figure?

A. 26 m B. 30 mC. 34 m D. 36 m

What is the area of this complex figure?

A. 26 sq m B. 50 sq mC. 36 sq m D. 56 sq m

What is the volume of this figure?

A. 12 cubic meters

B. 64 cubic meters

C. 24 cubic meters

D. 32 cubic meters

Which of the following is the BEST estimate of a solution to the problem below? A glass container can hold 100 fluid ounces of water. It now has 53.9 fluid ounces in it. What is the greatest amount of water that can be poured into the container without it overflowing?

A. about 54 fluid ounces B. about 154 fluid ounces C. about 45 fluid ounces D. about 50 fluid ounces

How many square feet of sod are needed to cover a 9-foot by 60-foot lawn?

(A) 69 square feet (B) 138 square feet(C) 270 square feet (D) 540 square feet

What is the perimeter of a square whose area is 49 square inches?

A. 49 inches B. 28 inches C. 24.5 inches D. 22 inches

One rope is 3 ¾ yards and another is 6.8 yards long. What is their combined length?

A. 9.55 yd.B. 10.55 yd.C. 25.5 yd.D. 10.1 yd.

The perimeter of a 60-foot long rectangular house is 340 feet. How wide is the house?

A. 111 ft B. 110 ft C. 56 ft D. 80 ft

Which unit of measure is MOST useful for a car’s weight?

A. OuncesB. PoundsC. GramsD. tons

Charity walked 14.6 miles for a local charity. How many feet did she walk?

A. 6307.2 ft B. 25,696 ft C. 77,088 ft D. 231,264 ft

Data Analysis & Probability

Using the bar graph, the MOST projects were assigned in which quarter?

A. 1st quarter B. 2nd quarterC. 3rd quarter D. 4th quarter

The bar graph below shows the number of members of the cheerleading team at four grade levels. Which of the following statements is not a correct interpretation of the bar graph?

(A) 30% of members of the cheerleadingteam are in the 9th grade.(B) There are 5 members of the

cheerleading team in the 10th grade.(C) There are 15 members on thecheerleading team.(D) The 9th and 11th grades have an equalnumber of members.

What is the mean of the data? Round your answer to the nearest hundredth, if necessary.

   1, 1, 11, 25, 60, 72, 29, 15, 1

A. 20.49 B. 23.89 C. 26.17 D. 71

A. 700 bags B. 600 bags C. 400 bags D. 800 bags

Use the bar graph to answer the question.How many bags of Crunchy Chips and Caramel Crunchers were sold?

A real estate agent displayed the selling prices of 6 houses in a 3 square mile area. What is the median sale price of a house in this area?

$110,987   $99,654 $96,150 $90,258 $87,678    $84,990

A. $90,150 B. $93,204 C. $94,939 D. $96,150