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Success on Standardized Tests for the ITBS • Grade 3
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Practice ITBS Test
Math Concepts and Math Estimation
Part 1: Math Concepts
Directions:
This is a test of how well you understand the number system and the terms and operations used in math.
Four answers are given for each question. You are to choose the answer that you think is better than the others.
Then, on your answer folder, find the row of answer spaces numbered the same as the question. Fill in the answer space for the best answer.
The sample on this page shows you what the questions are like and how to mark your answers.
Sample
S1 Which shape is a triangle? A
■
B●
C▲
D◆
Answer S11 Which number sentence has the smallest answer?
A 20 2 □ B 20 2 □ C 20 2 □ D 20 2 = □
2 What fraction of circle is shaded?
J 14
K 25
L 12
M 35
3 Which of the numbers in the boxes is correct? A B C D 4 3 1 8 4 1 + 3 4 3 1 8 5 1 + 0 4 3 1 8 6 1 + 5 4 3 1 8 7 1 + 6
D
C
B
A
4 Which pair of clocks show the same time? J
K
L
M
5 Jim is stacking boxes of clothes in his closet. He has a box of socks, a box of pants, and a box of shirts. If he puts the box of socks on
the bottom, how many different ways can he stack the box of pants and the box of shirts on top of the box of socks?
A 6
B 4
C 3
D 2
6 Which of the following is a group of odd numbers?
J 2, 4, 6, 8, 9
K 3, 7, 9, 11, 13
L 5, 7, 8, 10, 12
M 5, 9, 11, 12, 13
7 Which of these numbers is less than 40,550? A 41,500
B 41,650
C 40,500
D 40,601
8 Which answer makes the number sentence below true?
8 7 □
J 56
K 48
L 24
M 16
9 What number should go in the box?
A 12
B 13
C 15
D 18
10 30 is 5 less than which number? J 5 K 20 L 35 M 50 10 20 25 30 12 11 10 9 8 7 6 54 3 2 1 12 11 10 9 8 7 6 5 4 3 2 1 12 11 10 9 8 7 6 54 3 2 1 12 11 10 9 8 7 6 54 3 2 1
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Success on Standardized Tests for the ITBS • Grade 3
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11 What is the area of the shape below?A 8 units
B 18 units
C 26 units
D 42 units
12 What is the best estimate of the length of a school bus? J 25 inches K 25 feet L 50 yards M 25 miles 13 What is 3000 200 10 written in standard form? A 4200 B 3000 C 3210 D 980
14 Lee has 18 books on his shelf. Nadine has only 11 books on her shelf. Which number
sentence shows how many more books Lee has on his shelf than Nadine? J 18 11 7
K 18 5 13
L 10 4 6
M 6 5 1
15 Which of the following figures does not have a line of symmetry?
A
B
C
D
16 The length of a door key is between J 7 and 8 inches K 3 and 4 yards L 2 and 3 inches M 2 and 3 feet
S
S
S
S
= 1 unit17 What is the value of–
A 50¢
B 53¢
C 55¢
D 58¢
18 A figure with four equal sides could be a ___. J triangle
K pentagon
L square
M circle
19 Lucinda has cut these figures out of paper.
She is going to paste the figures together.
Which of the following could Lucinda make?
A
B
C
D
20 Which of the following number sentences is true? J 9 0 90 K 13 0 0 L 0 0 1 M 8 0 8
STOP
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Success on Standardized Tests for the ITBS • Grade 3
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Part 2: Math Estimation
Directions:This is a test of your skill in estimating answers to math problems.
Four possible answers are given for each problem. Estimate the answer to each problem in your head. No scratch work is allowed. Choose the answer that is the best estimate of the exact answer. Do not spend too much time on any one problem, or you will not finish all the problems.
Sample
S1 The closest estimate of 27 42 is A 50
B 60 C 70 D 80
S2
The closest estimate of the total cost of the hot dogs is
J $0.75 K $5.00 L $7.00 M $700
S3 The product 29 9 is between A 50 and 100
B 100 and 150 C 150 and 250 D 250 and 350
Remember, estimate. Do not try to compute exact answers.
The samples on this page show you what the problems are like and how to mark your answers. S1 S2 S3
A
B
C
D
M
C
K
J
D
C
B
A
7 hotdogs 89¢ each Think:(27 42 is about the same as 30 40, which is 70.)
Think:
($0.89 is about $1, and 7 1 is 7. So the answer is $7.00.)
Think:
(29 9 is a little less than 30 10, which is 300. So the answer is between 250 and 300.)
21 Which of the following is the best estimate of $5.41 $3.78? A $7 B $8 C $9 D $10
22 About how much taller is Pedro than Tavan?
J 10 inches
K 20 inches
L 30 inches
M 110 inches
23 Louis collected 3 bags of cans for the school recycling drive. He estimates that he has about 60 cans altogether. Which of the
following could show how many cans Louis collected in each bag?
A B
C D
24 Which of the following is the best estimate of 347 186?
J 600
K 500
L 400
M 300
25 Tomas bakes 3 trays of cookies. Each tray has 16 cookies on it. Which is the best estimate
of the number of cookies Tomas baked?
A 10
B 20
C 50
D 100
26 Arlene has picked 2 baskets full of apples. She estimates that she’s picked about 50 apples altogether. Which of the following
could show how many apples Arlene has in each basket? J K L M
3
23 apples 41 apples 21 apples 17 apples 37 apples 11 apples 27 apples 46 apples 12 24 27cans cans cans
18 34 28 cans cans cans
41 13 31 cans cans cans
23 24 39 cans cans cans
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Success on Standardized Tests for the ITBS • Grade 3
27 On Saturday, Quan painted Mrs. Ortega’sfence for $47. On Sunday, he mowed Mrs. Ortega’s lawn for $19. Which is the best
estimate of how much more Mrs. Ortega paid Quan for painting her fence than mowing her lawn?
A $20 B $30 C $40 D $50 28 The product 12 41 is ____. J More than 800 K Between 700 and 800 L Between 600 and 700 M Between 400 and 600
29 Nan studied for 48 minutes before dinner. After dinner, she studied for another 74 minutes. About how many more minutes
did Nan study after dinner than before? A 10 minutes
B 20 minutes
C 30 minutes
D 40 minutes
30 For Valentine’s Day, Kim-Chi received 2 boxes of chocolates.
Kim-Chi has ____.
J More than 90 chocolates.
K Between 80 and 90 chocolates.
L Between 70 and 80 chocolates.
M Less than 70 chocolates.
31 It takes two buses to take all the children on a field trip.
What is the best estimate of how many students are going on the field trip? A 20 40
B 30 50
C 20 70
D 30 40
32 Zunira bought a puppy. He weighed 48 grams when she brought him home. After a week, the puppy weighed 74 grams. Which
best shows how to get the closest estimate of how much more Zunira’s puppy
weighed after a week? J 80 40 K 70 40 L 70 50 M 80 50 22 chocolates 62 chocolates 27 children 48 students
STOP
Part 1: Math Problem Solving
Directions:This is a test of your skill in solving math problems.
Work each problem and compare your answer with the possible answers given.
For some problems, four answers are given. You should choose the answer you think is better than the others are.
Sample:
S1 Dawn and Ross looked for daisies in the yard. Dawn picked 2 daisies, and Ross picked 4. How many daisies did they pick altogether?
A 4 B 5 C 6
D Not Given
S2 Jill’s piano teacher told her to practice for 5 hours. After school, Jill practiced for 3 hours. How many hours does she have left to practice?
J 2 K 3 L 8
M Not Given
S3 Kim planted 3 daisies, 2 roses, and 4 tulips. How can she figure out how many more tulips she planted than daisies?
A Add 2 and 4 B Subtract 3 from 4 C Add 3, 2, and 4 D Multiply 4 times 2
For some other problems, there are three possible answers and a ‘Not Given’– meaning that the correct answer is not given. For these kinds of problems, if the correct answer is not given, you should fill in the last answer space. The samples on this page show you what the problems are like and how to mark your answers. Answers: S1 S2 S3
A
B
C
D
M
L
K
J
D
C
B
A
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Success on Standardized Tests for the ITBS • Grade 3
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Part 1: Math Problem Solving
Directions: At the school cafeteria, meals wereserved using the pattern shown below. They used this pattern 4 times. Use this information to answer questions 1 and 2.
1 How many times did the cafeteria serve pizza?
A 6
B 8
C 10
D 12
2 The hot dog and the sandwich are served with french fries. How many times was
french fries served? J 2
K 4
L 8
M 16
3 At the zoo, there is a lion and tiger. The lion has a tail 64 cm long. The tiger has a tail 87 cm long. How much longer is the tiger’s
tail than the lion’s? A 23 cm
B 21 cm
C 17 cm
D 13 cm
4 The lion and the tiger are fed at the same time. Every day, the lion eats 6 pounds of food and drinks 2 gallons of water. The tiger eats 11 pounds of food and drinks 1 gallon of water. How many pounds of food do the
lion and tiger eat altogether? J 5 pounds
K 11 pounds
L 17 pounds
M 24 pounds
Directions: Use the information and the picture
below to answer questions 5–10.
5 On which single day did the swim team make the most money?
A Monday
B Tuesday
C Wednesday
D Thursday
6 How much more money did the swim team make on Thursday than on Tuesday? J $21
K $32
L $45
M $61
7 How much money did the swim team make selling pie?
A $55
B $69
C $81
D $95
The swim team had a bake sale to raise money for a trip to a swim meet. The pictures below show how much money they raised from each item they sold for each day for four days.
Monday Tuesday Wednesday Thursday
$24 $37 $44 $22
$43 $17 $13 $41 $18 $6 $13 $18
8 The swim team sold the cupcakes for $1 each. How many cupcakes did the swim
team sell during the week? J 137
K 132
L 127
M 117
9 On Wednesday, Mr. Lee donated $25 to the team to help them pay for their trip. How
much total money did the team collect on Wednesday?
A $65
B $75
C $85
D $95
10 At the end of the week all the money raised was counted. The swim team was still $15 short of the money they needed to raise for their trip. Which of the following would
help to find the total number of items the swim team sold?
J The cost of each type of item.
K The number of cupcakes sold on Tuesday.
L The total amount of money raised.
M The types of pies they sold.
11 Two companies–Toys-n-Stuff and Play-Time–both manufacture teddy bears. It takes about 30 ounces of stuffing to make 1 teddy bear. How many ounces of stuffing does it
take to make 3 teddy bears? A 45 oz.
B 60 oz.
C 90 oz.
D Not Given
12 Toys-n-Stuff makes 40 teddy bears an hour. Play-Time makes half as many teddy bears an hour. How can we find out how many
teddy bears Play-Time makes an hour? J Subtract 2 from 40.
K Multiply 40 by 2.
L Add 40 to 2.
M Divide 40 by 2.
13 Toys-n-Stuff sold 35 teddy bears last week. Play-Time sold 26 teddy bears. How many
teddy bears did the two companies sell altogether?
A 61
B 51
C 41
D 19
14 Play-Time made 62 teddy bears one day. They gave 15 teddy bears to charity. How
many teddy bears do they have left to sell? J 47 K 57 L 77 M 81
STOP
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Success on Standardized Tests for the ITBS • Grade 3
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Part 2: Data Interpretation
Directions:This is a test of your ability to get and use information from graphs and tables.
Four answers are given for each problem. You are to choose the answer that you think is better than the others.
Sample
Use this graph to answer questions S1 and S2.
S1 How many students like football best? A 2 B 3 C 4 D 6
S2 Which sport is the favorite of the most students?
J Tennis L Softball K Football M Bowling
Then, on your answer sheet, find the row of answer spaces numbered the same as the question. Fill in the answer space for the best answer.
The samples on this page show you what the problems are like and how to mark your answers. Answers: S1 S2
J
K
C
M
D
C
B
A
Favorite Sport of Students in Ms. Shea’s Class Football
Softball Tennis Bowling
Directions: Use the graph below to answer
questions 15–18.
15 How many buildings are taller than Building C?
A 1
B 2
C 3
D 4
16 Apco Construction wants to build a new building 8 stories tall. How does this height
of this building compare to the height of Building C?
J The height of new building is 5 stories taller.
K The height of the two buildings are about the same.
L The height of the new building is about 6 stories shorter.
M The height of the new building will be
about twice the height of Building C.
17 Which building is 7 stories tall? A Building A
B Building B
C Building C
D Building E
18 Which building is about half the height of Building A?
J Building B
K Building C
L Building D
M Building E
Directions: Use the chart below to answer
questions 19–21.
19 What is the total number of goats and cows on the farm?
A 6
B 4
C 3
D 1
20 How many more pigs does Ms. Chavez have than chickens?
J 3
K 4
L 5
M 6
21 Which animals does she have more than 3 of? A Pigs and Horses
B Chickens and Pigs
C Goats and Horses
D Pigs and Cows
Pigs Cows Chickens Goats Horses
Each stands for one animal.
Number of Animals on Ms. Chavez's Farm 10 9 8 7 6 5 4 3 2 1 0 Building A Building B Building C Building D Building E THE HEIGHT OF VARIOUS BUILDINGS
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Success on Standardized Tests for the ITBS • Grade 3
Directions: Use the graph below to answer
questions 22–24.
22 How many tigers are at the zoo? J 12
K 10
L 9
M 6
23 How many fewer monkeys are there than tigers?
A 2
B 3
C 5
D 6
24 How many more lions are there than polar bears?
J 17
K 15
L 12
M 8
Lions Monkeys Polar Bears Tigers 12 11 10 9 8 7 6 5 4 3 2 1
Animals at the Zoo
Number of Animals
Animals
Math Computation
Directions:This is a test of math computation.
After each problem are three answers and an “N” meaning that the correct answer is not given. Work each problem and compare your answer with the answers that are given.
If your answer matches a given answer, fill in the answer space on your answer folder that has the same letter as that answer.
If your answer is not given, fill in the last answer space.
The samples on this page show you what the problems are like and how to mark your answers.
Sample
S1 2 6 A 7 B 8 C 9 D N S2 J 7 K 9 L 12 M N Answers S1 S2 1 6 4 A 5 B 24 C 31 D N 2 35 7 J 42 K 53 L 61 M N 3 A 34 B 47 C 59 D N 4 8 9 J 10 K 13 L 17 M N 5 A 64 B 78 C 92 D N 6 J 22 K 40 L 59 M N 8 5 55 9 62 15M
L
K
J
D
C
B
A
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Success on Standardized Tests for the ITBS • Grade 3
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7 A 14 B 21 C 36 D N 8 44 135 J 179 K 199 L 205 M N 9 78 6 A 57 B 66 C 72 D N 10 J 93 K 415 L 511 M N 11 275 3 A 155 B 272 C 321 D N 12 350 7 J 35 K 1635 L 2450 M N 13 A 516 B 572 C 583 D N 14 J 657 K 703 L 713 M N 15 A 478 B 581 C 590 D N 16 868 4 J 864 K 869 L 893 M N 17 A 72 B 78 C 85 D N 18 48 6 J 8 K 16 L 28 M N 18 25 35 593 12 632 25 581 9 192 223 19 519 A 83 B 85 C 91 D N 20 2 621 J 976 K 1242 L 1398 M N 21 A 216 B 245 C 255 D N 22 88 60 J 22 K 28 L 37 M N 23 56 8 A 7 B 8 C 9 D N 24 J 890 K 952 L 977 M N 25 A 9 B 11 C 15 D N 26 300 15 J 20 K 151 L 285 M N 27 A 178 B 220 C 240 D N 28 J 772 K 783 L 967 M N 29 361 5 A 980 B 1805 C 2100 D N 30 J 98 K 200 L 213 M N 95 13 105 550 233 40 6 75 64 943 34 295 79 35 56