7Th Grade Practice Assessment Questions

7Th Grade Practice Assessment Questions

6th GRADE
TEST ITEM
BANK #1
BY: AGNES VENTURA, NOBELMIDDLE SCHOOL

Produced by Eddy Mata & Brian York, MonroeHigh School
PROPERTY OF LAUSD LOCAL DISTRICT 1

6th Grade Practice Assessment Questions

Q# / Standard / Question / Solution(s)
1 / NS 1.1 / Write each list of numbers from least to greatest.
  1. -3.4, 3 ¼, -3 ¼, 3.4
  1. -2.6, -3.5, -2.06, -3 1/5
  1. 5 ½ , 5 1/8, 5 ¼ , 5 ¾
/ -3.4, 3 ¼ (=3.25), -3 ¼ (=-3.25), 3.4
  1. -3.4 -3 ¼, 3 ¼, 3.4
-2.6, -3.5, -2.06, -3 1/5 (= -3.2)
  1. -3.5, -3 1/5, -2.6, -2.06,
5 ½ (=5.5), 5 1/8 (=5.125),
5 ¼ (=5.25), 5 ¾ (=5.75)
  1. 5 1/8, 5 ¼ , 5 ½ , 5 ¾

2 / NS 1.1 / Which letter on the number line shows the location of 5/2 .
/ 5/2 = 2.5 (The point between 2 and 3)
2 < 2.5 < 3
Answer is D
3 / NS 1.1 / Which of the following decimals is closest to 0?
  1. 2.022
  1. 2.002
  1. 2.200
  1. 2.020
/ All numbers are positive, so the one closest to 0 will be the smallest number.
  1. 2.022
  1. 2.002
  1. 2.200
  1. 2.020

4 / NS 1.1 / Which fraction below is closest to 0?
  1. -5/6
  1. 11/12
  1. -2/3
  1. ¾
/ The closest to 0 will be the smallest absolute value.

Q# / Standard / Question / Solution(s)
5 / NS 1.2 / A classroom has 21 boys, 18 girls, and 1 teacher
  1. What is the ratio of girls to boys?
  2. What is the ratio of boys to all the students in the classroom?
  3. What is the ratio of teachers to girls?
/
6 / NS 1.2 / A box has 18 red marbles, 12 blue marbles, 3 orange marbles, and 7 black marbles
  1. What is the ratio of blue marbles to red marbles?
  2. What is the ratio of red marbles to orange marbles?
  3. What is the ratio of red marbles to total marbles in the box?
  4. What is the ratio of black marbles to orange marbles?
/
7 / NS 1.3 / ∆ABC is similar to ∆DEF. Find the length of
/
8 / NS 1.3 / Rectangle ABCD is similar to rectangle DEFG. Find the length of .
/
Q# / Standard / Question / Solution(s)
9 / NS 1.3 / The scale on a map shows that 1 inch equals 3 miles. How many miles are represented by 2 ½ inches on the map? /
7.5 miles
10 / NS 1.3 / Natalie can type 30 words in 2 minutes. At this rate, how many words can she type in 5 minutes? /
75 words
11 / NS 1.3 / Josh can purchase 5 CD’s for $75. Write a proportion to find out how many CD’s Josh can purchase for $135. Then solve the proportion to find the number of CD’s he can purchase. /
9 CD’s
12 / NS 1.3 / The 6th grade students at Nobel MS are fundraising for the band at their school. They decide to hold a carwash to fundraise. If students know that 4 cars can be washed in 5 minutes, how long will it take them to wash 28 cars? /
35 minutes
Q# / Standard / Question / Solution(s)
13 / NS 1.3 / The scale on a blueprint is 1 inch:40 feet. How many feet would 4 inches represent? /
160 feet
14 / NS 1.3 / A pulley has two wheels. The smaller wheel A turns 33 revolutions for every 6 revolutions of the larger wheel B. If the smaller wheel turns 44 revolutions, then how many revolutions will the larger wheel turn?
/
8 revolutions
15 / NS 1.4 / What is 75% of 20? / 75% of 20
0.75 ( 20) = 15
16 / NS 1.4 / Daniel made $120.00 as a background actor. He put 40% of it into his savings account. How much money did he put into his account? / 40% of $120
0.40 (120) = 48
$48
Q# / Standard / Question / Solution(s)
17 / NS 1.4 / Sara buys a sweater on sale for 25% off. The sweater was originally priced for $42.00. How much does she pay for the sweater? / 25% of $42.00
0.25 (42) = 10.50
42.00 – 10.50 = 31.50
$31.50
18 / NS 1.4 / If 25% of a number is 80, what is 75% of that number? /
19 / NS 1.4 / The Gonzalez family wants to leave a 15% tip for a restaurant bill of $40. How much should they leave for the tip? / 15% of $40
0.15 (40) = 6
$6.00
20 / NS 1.4 / Mrs. Smith takes her 5 grandchildren out to lunch after church. She tips 18% on a bill of $65. How much does she spend on lunch? / 18% of $65
0.18 (65) = 11.70
11.70 + 65 = 76.70
$76.70 total bill
Q# / Standard / Question / Solution(s)
21 / NS 2.1 / What is ? /
or


22 / NS 2.1 / Gail has ¾ of a pizza left. She would like to divide the remaining pizza evenly among her 5 friends. What fraction of the remaining pizza does each friend receive? /
23 / NS 2.1 / How many 1 ½ inch pieces can be cut from a 7 ½ inch long string? /
24 / NS 2.2 / What is the quotient of 6 and 1/3? /
Q# / Standard / Question / Solution(s)
25 / NS 2.2 / What is the product of 1/5 and 10/13 ? /
26 / NS 2.2 / What is the quotient of 6 9/10 and 3/10 ? /
27 / NS 2.2 / What is the product of 3 ¾ and 8 ? /
28 / NS 2.3 / Solve
  1. 15 ÷ (-3) =
  2. (-5) + (-2) =
  3. (-10) – (-5) =
  4. (-7) • (-2) =
/
  1. -5
  1. -7
  1. -5
  1. 14

Q# / Standard / Question / Solution(s)
29 / NS 2.3 / The peak of Mount Everest measures about 26,544 feet above sea level. The Dead Sea lies about 1,200 feet below sea level. How high above the Dead Sea is Mount Everest? / +26,544 – (-1,200) = 27, 744 feet
30 / NS 2.3 / The highest temperature in Los Angeles is about 110º, the lowest about 38º Fahrenheit. What is the difference between Los Angeles’ highest and lowest temperature? / 110º – 38º = 72º
31 / NS 2.3 / Paul had $95 in his savings account. He withdrew $15 one week and $45 the next week. How much does Paul have left in his savings account? / $95 – $15 – $45 = $35
32 / NS 2.3 / On the first run of a football game, Janice loses three yards. The next play, she gains 12 yards. On the following run, she loses 4 yards. How many yards did she gain or lose in all? / -3 + (+12) + (-4) = +5
5 yard gain
Q# / Standard / Question / Solution(s)
33 / NS 2.3 / A high speed elevator descends at a rate of 16 feet per second. After 5 seconds, how far has the elevator dropped? / 5 (-16) = -80
80 feet downwards
34 / NS 2.3 / Students from Topeka Elementary are taking a field trip to Sea World. Student tickets cost $19 and adult tickets cost $32. How much will it cost to visit Sea World for 110 students and 9 teachers? / 110(19) + 9(32) =
2090 + 288 = 2378
$2378.00
35 / NS 2.4 / Find the Least Common Multiple (LCM) for the following group of numbers:
18, 3, 6, 5 / Prime factors each number
3 = 3
6 = 2 • 3
5 = 5
18 = 2 • 3 • 3
LCM = 2 • 3 • 3 • 5 = 90
36 / NS 2.4 / Find the Greatest Common Divisor for the following group of numbers:
48, 36, 24 / Factors of each
48: 1,2,3,4,6,8,12,16,24,48
36: 1,2,3,4,6,9,12,18,36
24: 1,2,3,4,6,8,12,24
GCD = 12
Q# / Standard / Question / Solution(s)
37 / NS 2.4 / Reduce to lowest terms:
  1. 56/104
  2. 9/15
/
38 / NS 2.4 / Fill in the blank:
a.
b.
c. /
39 / NS 2.4 / Add the fractions. Reduce your answers to the lowest terms.
a.
b.
c.
d. / a.
b.
c.
d.
40 / NS 2.4 / Subtract the fractions. Reduce your answers to the lowest terms.
a.
b.
c.
d. /
Q# / Standard / Question / Solution(s)
41 / NS 2.4 / A lasagna recipe calls for ½ part noodles, 1/8 part meat, ¼ part cheese while the rest is made up of the tomato sauce. What part is the tomato sauce? /
42 / NS 2.4 / Multiply the fractions. Reduce your answers to the lowest terms.
a.
b.
c. /
43 / NS 2.4 / Divide the fractions. Reduce your ansers to the lowest terms.
a.
b.
c. /
44 / NS 2.4 / A Hummer uses up 2 ½ gallons of gas per hour. How much gas would it use in 1 ¾ hours? /
Q# / Standard / Question / Solution(s)
45 / NS 2.4 / A gardener wants to plant flowers in a 16 foot long flowerbed. He must plant the flowers ¼ of a foot apart. How many flowers can he plant in a row? /
46 / AF 1.1 / If x + 2 = 8, what is the value of x? / x + 2 = 8
-2 -2
x = 6
47 / AF 1.1 / What is the value of x if 4x = 48 ? / 4x = 48
4 4
x = 12
48 / AF 1.1 / What is the value of x if ? /
Q# / Standard / Question / Solution(s)
49 / AF 1.1 / If x – 5 = 12 , what is the value of x ? / x – 5 = 12
+5 +5
x = 17
50 / AF 1.1 / What value of y makes the equation true?
12 ÷ y = 2 /
51 / AF 1.1 / What value of y makes the equation true?
3y = 36 /
52 / AF 1.1 / Sara had $1440 in her savings account. She withdrew $120 every day. Write an expression that represents how much money she has left after x days. How long will it take Sara to withdraw all of her money? / Amount of money = 1440 – x(120)

11 days
Q# / Standard / Question / Solution(s)
53 / AF 1.1 / Write an algebraic equation that represents the total price (P) of a bike rental for 5 days if d represents the daily rental fee? / P = 5d
54 / AF 1.2 / Evaluate each expression using w = 5, x = - 4, y = 2
/
55 / AF 1.2 / A movie theater charges $8 for a child admission and $12 for adult admission. Write an expression for the total cost of x number of child admission and y number of adult admissions. / 8x +12y
56 / AF 1.2 / The steps a Maria took to evaluate the expression 2f + 5 • 3 when f = 8 are shown below.

What should Maria have done differently in order to evaluate the expression? / Maria should have:
Added (2 • 8) to (5 • 3)
Q# / Standard / Question / Solution(s)
57 / AF 1.3 / Simplify each expression
  1. 4 + 3 • 10
  2. 6 + 4 ÷ 2 • 2
  3. 11 • 7 + 90 ÷ 6
  4. 90 + 9(9 + 7)
  5. 12(3 + 4)
/
  1. 4 + 30 = 34
  1. 6 + 2 • 2 = 6 + 4 = 10
  1. 77 + 15 = 92
  1. 90 + 9(16) = 90 + 144 = 234
  1. 12(7) = 84

58 / AF 1.4 / Use the order of operations to simplify each expression.
  1. 72 ÷ (10 – 1)
  2. (11 • 3) + (80 ÷ 4)
  3. 38 – [25 ÷ (10 – 5)]
  4. 16 + 90 ÷ 6 • 2 – 10
  5. 62 – (9 • 3)
/
  1. 72 ÷ (9) = 8
  1. (33) + (20) = 53
  1. 38 – [25 ÷ 5] = 38 – [5] = 33
  1. 16 + 15 • 2 – 10 =
16 + 30 – 10 = 36
  1. 62 – (27) = 35

59 / AF 2.1 / John measures 6 feet of string. How many inches is the string? / 1 foot = 12 inches
6 feet = 6(12) = 72 inches
60 / AF 2.1 / Change the foot measurements to inches.
  1. 1 ½ feet = ______inches
  2. 4 ½ feet = ______inches
/ 1 foot = 12 inches
  1. 1 ½ (12) = 18 inches
  1. 4 ½ (12) = 54 inches

Q# / Standard / Question / Solution(s)
61 / AF 2.1 / Change the inch measurements to feet.
  1. 24 inches = ______feet
  2. 30 inches = ______feet
/ 12 inch = 1 foot
  1. 24 ÷12= 2 feet
  1. 30 ÷12= = 2 ½ feet

62 / AF 2.1 / Change kilometers to meters and meters to kilometers (1 km = 1000m).
  1. 80 km = ______m
  2. 0.1 km = ______m
  3. 1300 m = ______km
  4. 10, 000 m = ______km
/
  1. 80(1000) = 80,000 m
  1. 0.1(1000) = 100 m
  1. 1300 ÷ (1000) = 1.3 km
  1. 10,000 ÷ (1000) = 10 km

63 / AF 2.2 / Maggie pays $3.60 for four pounds of apples. How much will she pay for 6 pounds of apples? /
$5.40
64 / AF 2.2 / Jake has been give 5 minutes to eat 20 pancakes. What is the minimum rate Jake can eat in order to finish on time? /
4 pancakes per minute
Q# / Standard / Question / Solution(s)
65 / AF 2.2 / A dirt bike gets 220 miles for 10 gallons of gas. How many gallons does the bike need to travel 132 miles? /
6 gallons
66 / AF 2.2 / If Carlos drives at an average speed of 62 miles per hour (mph), how many miles will he travel in 6 hours? / 62(6) = 372
372 miles
67 / AF 2.2 / A 3 foot pine tree grows 1 ½ feet per year. How long will it take the tree to grow to a height of 9 feet? /
4 years
68 / AF 2.3 / Nick leaves his home at 4:00 pm and drives until 7:30 pm. He takes a break, then resumes travels at 7:45 pm and continues drving until 11:45 pm. If he travels at an average speed 63 mph, how far is he from his home? / 4:00 pm to 7:30 pm = 3.5 hours
7:45 pm to 11:45 pm = 4 hours
Total Hours Traveled = 7.5 hours
63(7.5) = 472.5 miles
Q# / Standard / Question / Solution(s)
69 / AF 2.3 / If you travel a distance of 693 miles for
10 ½ hours, what is your average speed? / 693 miles ÷ 10.5 hours = 66 mph
70 / AF 2.3 / John drives 1,365 miles in 21 hours. What is his average speed (or velocity)? / 1,365 miles ÷ 21 hours = 65 mph
71 / AF 3.1 / A square with side x is inside of a square with side 10 m. Write an expression for the area of the shaded region in terms of x.
/ Area of Large Square
10 • 10 = 100 square meters
Area of Small Square
x • x = x2
Area of Shaded Region
100 – x2
72 / AF 3.1 / A circle has a diameter of y. Write an expression for the circumference. (in terms of π) / Circumference Formula
C = diameter • π
C = yπ
Q# / Standard / Question / Solution(s)
73 / AF 3.1 / A rectangle has sides length of x and 4x. Write an expression for the area. / Area of a Rectangle
A = base • height
A = x•4x = 4x2
74 / AF 3.1 / An equilateral triangle has sides of length of n. Write an expression for the perimeter / Perimeter of Equilateral Triangle
P = 3 • length of each side
P = 3n
75 / AF 3.2 / A parallelogram has a base of 10 m and an area of A meters squared. Write an equation to find the height of the parallelogram. / Area of a Parallelogram
A = base • height
A = (10) h

76 / AF 3.2 / A parallelogram has sides of 25 meters and x meters. The perimeter is P meters. Write an equation that could be used to find the length of the missing side?
/ Perimeter of a Parallelogram
P = 2(25) + 2(x)
P = 50 +2x
-50 -50
P – 50 = 2x

Q# / Standard / Question / Solution(s)
77 / MG 1.1, 1.2 / Find the circumference of a bicycle wheel that has a diameter is 12 m long. / Circumference of a Circle
C = diameter • (3.14)
C = 12(3.14)
C = 37.68
78 / MG 1.1, 1.2 / Find the area of a circle that has a radius is 15 mm long. (leave your answer in terms of π) / Area of a Circle
A = π • (radius)2
A = π • (15)2
A = 225π
79 / MG 1.1, 1.2 / An extra large of pizza has a radius of 4 inches. What is the area of the top surface of the pizza? / Area of a Circle
A = π • (radius)2
A = (3.14) • (4)2
A = (3.14)(16) = 50.2 square inches
80 / MG 1.3 / A soup container has the shape of a cylinder. If the base area of a cylinder is 3.8 cm2 and its height is 8 cm high, how much soup can the container hold? / Volume of a Cylinder
V = (area of base) • (height)
V = (3.8) • (8)
V = 30.4 cm3
Q# / Standard / Question / Solution(s)
81 / MG 1.3 / A cereal box has a length of 18 cm, a width of 6 cm and height of 20 cm. What is the volume of this box? / Volume of a Prism
V = (length) • (width) • (height)
V = (18) • (6) • (20)
V = 2160 cm3
82 / MG 1.3 / A triangular prism has a base area of 32 m2, and a height of 10 m. What is the volume? / Volume of a Triangular Prism
V = (area of base) • (height)
V = (32) • (10)
V = 320 m3
83 / MG 2.1 /
Find the measure of each of the following angles.
/ Angle 1 & 4 are a linear pair
Angle 2 & 4 a vertical angles
Angle 3 & 4 are a linear pair
84 / MG 2.1 / Tell whether the 2 angles listed below are complementary, supplementary or neither.
  1. 30º, 60º
  2. 45º, 45º
  3. 122º, 64º
  4. 145º, 35º
  5. 22º, 78º
/
  1. 30 + 60 = 90 (comp)
  1. 45 + 45 = 90 (comp)
  1. 122 + 64 = 186 (neither)
  1. 145 + 35 = 180 (supp)
  1. 22 + 78 = 100 (neither)

Q# / Standard / Question / Solution(s)
85 / MG 2.2 / Find the measure of the third angle.
/ Sum of Angles in a Triangle is 180º
x + 40º + 70º = 180º
x + 110º = 180º
- 110º - 110º
x = 70º
86 / MG 2.2 / What is the measure of angle 1 in the figure below?
/ The two angles sum to 180º since they are supplementary.

87 / MG 2.2 / In the figure below, intersects at Z, , and. What is ?
/ (Vertical Angles)
(Substitution)


88 / MG 2.2 / Find the measure of .
/ Sum of Angles in a Triangle is 180º
(Vertical Angles)


Q# / Standard / Question / Solution(s)
89 / MG 2.3 / Sketch the following figures
  1. A right isosceles triangle
  2. An acute scalene triangle
  3. A figure with four equal sides that is not a square.
/
90 / PS 1.2 / Find the mean, median, mode, and range of the following data set.
  1. 2, 7, 7, 7, 12
  2. Which measure(s) (mean, median, mode, and range) are changed if 15 is added to the data set above?
/
  1. mean = 7
2,7,7,7,12 (middle number)
median = 7
7 occurs the three times
mode = 7
range = 12 – 2 = 10
b. mean =
range = 15 – 2 = 13
91 / PS 2.2 / Identify the sampling technique used and tell if the sample is representative of the population or not.
  1. A political organization calls every 50th registered voter from the alphabetized county list to find out which candidate was favored for commissioner’s election.
  2. A math teacher writes the names of her students on slips of paper and places them in an envelope. She asks a question, draws a paper from the envelope and has that student answer her question.
/
  1. Systematic, yes
  2. Random, no

PS 2.2 / Identify the sampling technique used and tell if the sample is representative of the population.
  1. A newspaper publisher lists a survey in the pages of the newspaper asking what type of features readers would like to see.
  2. The animal shelter wants to see how many local houses have dogs or cats. The send a person to every 10th house to survey if they have a cat or dog.
/
  1. Systematic, yes
  2. Systematic, yes

Q# / Standard / Question / Solution(s)
92 / PS 2.5 /
The graph shows the results of a survey from 300 moviegoers.
  1. What is their favorite type of movie?
  2. What is their least favored type of movie?
  3. Do more than half of the people surveyed prefer action movies?
/
  1. Action
  2. Romance
  3. No

93 / PS 3.1 / List all the possible outfits to wear if you have three shirts (red, yellow and blue) and two pairs of pants (black and grey) ? / (red, black)
(red, grey)
(yellow, black)
(yellow, grey)
(blue, black)
(blue, grey)
94 / PS 3.1 / Jenna had 2 kinds of peanut butter and 3 kinds of jelly. How many different combinations of peanut butter and jelly sandwiches can she make? / 2 • 3 = 6
95 / PS 3.1 / Ken has stacked shoeboxes on shelves at Macy’s. The shoeboxes contain black, grey and blue shoes in sizes 6, 7, 8 and 9. If the shelf contains equal number of shoes in each color and size, what is the probability that Ken selects a size 8 shoe? / Probability


Q# / Standard / Question / Solution(s)
96 / PS 3.1 / Juan is buying a new car. He has to choose between blue or gold and 2 or 4 doors. The convertible top is only available with the 2-door model. What is the probability that Juan will buy a 2-door convertible?
/
Possible Outcomes =
(Color Choice)(Door Choices)
Possible Outcomes = (2)(3) = 6

97 / PS 3.3 / A spinner is divided into 12 equal sections. 6 sections are blue, 3 sections are green, 2 sections are red, and 1 section is yellow
  1. What is the probability that a spinner will land on red?
  2. What is the probability that a spinner will land on green or blue?
/
98 / PS 3.3 / Terry has 4 red buttons, 10 blue buttons and 6 yellow buttons in her pocket. What is the probability that Terry will pick a red button from her pocket? /
99 / PS 3.4 / A jar contains 8 red marbles, 5 white marbles and 7 blue ones. You randomly choose a marble. Find the probability of the given events:
  1. P(red) = ____
  2. P(white) = ____
  3. P(blue) = ____
  4. P(red or white) = ____
  5. P(white or blue) = ____
  6. P(red, white or blue) = ____
/
  1. P(red) =
  2. P(white) =
  3. P(blue) =
  4. P(red or white) =
  5. P(white or blue) =
  6. P(red, white or blue) =

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