STAAR Practice Test (Grade 3: Mathematics) — Questions and Answers

Question 1: Which of the statements about the number 24,589 is true?

The sum of twenty thousands, 4 thousands, five hundreds, eight tens, and nine ones
The sum of two thousands, 4 thousands, five hundreds, eighty tens, and nine ones
The sum of forty thousands, 2 thousands, five hundreds, eight tens, and nine ones
The sum of twenty thousands, 4 thousands, fifty hundreds, eighty tens, and nine ones (Correct answer)

Correct answer: The sum of twenty thousands, 4 thousands, fifty hundreds, eighty tens, and nine ones

Correct answer: The sum of twenty thousands, 4 thousands, fifty hundreds, eighty tens, and nine ones 24,589 is the sum of 20,000;4,000;500;80; and 9

Question 2: In the box below, there are six numbers. From the numbers in the box, which of the following lists shows exclusively odd numbers?

15, 30, 42
42, 18, 30
15, 29, 42
15, 29, 83 (Correct answer)

Correct answer: 15, 29, 83

Correct answer: 15, 29, 83 Letter D consist odd numbers.

Question 3: Which of the four numbers given would appropriately complete both of the number phrases below? _ x 6 = 30 30 ÷ 6 = __

24
6
7
5 (Correct answer)

Correct answer: 5

Correct answer: 5 5 x 6 = 30 is equivalent to 30 ÷ 6 = 5 because 5 groups of 6 objects is equivalent to 30.

Question 4: In what area of the rectangle is the rectangle filled in?

5
3
3/4
5/8 (Correct answer)
8

Correct answer: 5/8

Correct answer: 5/8 Area is the amount of space within the perimeter of a two-dimensional shape. The rectangle is split into 8 pieces and 5 of those pieces are filled in. 5/8 of the area of this rectangle is filled in.

Question 5: In the following equation, what is the value of "A"? 21+𝐴+9=44

20
14 (Correct answer)
12
10

Correct answer: 14

To find the value of 'A', first combine the known numbers on the left side of the equation: 21 + 9 equals 30. The equation then becomes 30 + A = 44. To isolate 'A', subtract 30 from both sides of the equation: 44 - 30 = 14. Therefore, A equals 14.

Question 6: Yen wants to save $140 so she can buy her favorite bike. - She was able to save $36 in January. - She put aside $28 in February. In March, how much money does Yen need to save in order to buy her favorite bike?

$30
$28
$76 (Correct answer)
$52

Correct answer: $76

First, calculate the total amount of money Yen has saved so far by adding her savings from January and February: $36 + $28 = $64. Next, subtract this total saved amount from her goal of $140 to find out how much more she needs. So, $140 - $64 = $76. Yen needs to save an additional $76 in March.

Question 7: What is the name of the dotted line that splits a shape into two equal parts?

a line of congruency
a middle line
a divider
a line of symmetry (Correct answer)

Correct answer: a line of symmetry

A line of symmetry is a geometric concept where a line divides a shape or object into two identical, mirror-image halves. If you fold the shape along this line, the two halves would perfectly overlap. This property is fundamental in understanding balance and reflection in geometry.

Question 8: In what area of the rectangle is filled in?

2/5
2/4
2/7
2/8
2/6 (Correct answer)

Correct answer: 2/6

To represent the filled area as a fraction, count the number of shaded parts, which is the numerator, and the total number of equal parts in the rectangle, which is the denominator. If two parts are shaded out of a total of six equal parts, the fraction representing the filled area is 2/6.

Question 9: Mr. Jay eats four meals a day on average. In a week, how many meals does he consume?

28 (Correct answer)
30
21
24

Correct answer: 28

To find the total number of meals Mr. Jay consumes in a week, multiply the number of meals he eats per day by the number of days in a week. Since he eats 4 meals a day and there are 7 days in a week, the calculation is 4 meals/day * 7 days/week = 28 meals. Thus, he consumes 28 meals in a week.

Question 10: Lj owns 72 vintage books. She intends to take them all to their local library. Which of the following equations may be used to determine the number of boxes she will use if she places the books in boxes that can accommodate 9 books?

72 ÷ 9 = _____ (Correct answer)
72 – 9 = _____
72 + 9 = _____
72 × 9 = _____

Correct answer: 72 ÷ 9 = _____

To determine the number of boxes needed when dividing a total quantity into equal groups, the operation of division is used. Lj has 72 books in total, and each box can hold 9 books. Therefore, the equation 72 ÷ 9 = _____ correctly represents how to find the number of boxes she will use.

Question 11: Kim started eating her dinner at 7:11 p.m. and finished at 7:35 p.m. so she could go play in her room. Kim, how long did it take you to finish your dinner?

21 minutes
24 minutes (Correct answer)
30 minutes
34 minutes

Correct answer: 24 minutes

To calculate the duration Kim spent eating dinner, subtract the start time from the end time. Kim started at 7:11 p.m. and finished at 7:35 p.m. Since both times are within the same hour, simply subtract the minutes: 35 minutes - 11 minutes = 24 minutes. So, Kim took 24 minutes to finish her dinner.

Question 12: In what area of the rectangle is filled in?

6/10
7/10
6/12
7
7/12 (Correct answer)

Correct answer: 7/12

To represent the filled area as a fraction, count the number of shaded parts, which is the numerator, and the total number of equal parts in the rectangle, which is the denominator. If seven parts are shaded out of a total of twelve equal parts, the fraction representing the filled area is 7/12.

Question 13: In the equation 72÷𝐴=8, what is the value of A?

6
2
9 (Correct answer)
7

Correct answer: 9

To find the value of 'A' in the equation 72 ÷ A = 8, you need to determine what number divides 72 to result in 8. This can be solved by dividing the dividend (72) by the quotient (8). So, 72 ÷ 8 = 9. Therefore, the value of A is 9.

Question 14: Angelie had a total of 983 cards. Then she delivered 349 of the cards to Yassi, one of her friends. Angelie lost 260 cards after that. Which equation can be used to calculate Angelie's current card count?

983 + 349 + 260 = _____
983 – 349 + 260 = _____
983 + 349 – 260 = _____
983 – 349 – 260 = _____ (Correct answer)

Correct answer: 983 – 349 – 260 = _____

Angelie starts with 983 cards. When she delivers 349 cards, her total decreases, so this is a subtraction. When she loses 260 cards, her total decreases again, which is another subtraction. Therefore, the correct equation to find her current card count is 983 – 349 – 260 = _____.

Question 15: Outside, two classes of fifth grade pupils are lined up. Three rows of seven students make up one class. The other class is arranged in four rows of five. What is the total number of fifth graders lined up outside?

20 fifth graders
19 fifth graders
21 fifth graders
41 fifth graders (Correct answer)

Correct answer: 41 fifth graders

First, calculate the number of students in each class. The first class has 3 rows of 7 students, totaling 3 * 7 = 21 students. The second class has 4 rows of 5 students, totaling 4 * 5 = 20 students. To find the total number of fifth graders, add the students from both classes: 21 + 20 = 41 students. Therefore, there are 41 fifth graders lined up outside.

Question 16: Rhoda is conducting research for a science project. How much water will she have if she adds 14 additional grams of water to the scale below?

27g
36g
31g
32g
29g (Correct answer)

Correct answer: 29g

To find the total amount of water Rhoda will have, you need to add the initial amount of water shown on the scale to the additional amount she adds. Assuming the scale initially shows 15g of water, adding 14g more results in a total of 15g + 14g = 29g. Therefore, she will have 29g of water.

Question 17: Which of the following statements regarding the models is correct?

Each shows the same fraction because they both have 3 sections shaded.
Each shows a different fraction because they both have 3 shaded sections but a different number of total sections. (Correct answer)
Each shows the same fraction because they are the same size.
Each shows a different fraction because they are different shapes.

Correct answer: Each shows a different fraction because they both have 3 shaded sections but a different number of total sections.

Fractions represent parts of a whole, and their value depends on both the number of shaded parts (numerator) and the total number of equal parts (denominator). Even if two models have the same number of shaded sections, they represent different fractions if the total number of equal sections in each model is different. Thus, different denominators mean different fractions, even with the same numerator count.

Question 18: The following rectangle has a length of 7 centimeters and a width of 3 centimeters. What is the rectangle's area?

21 𝑐𝑚² (Correct answer)
14 𝑐𝑚²
10 𝑐𝑚²
20 𝑐𝑚²

Correct answer: 21 𝑐𝑚²

The area of a rectangle is calculated by multiplying its length by its width. Given a length of 7 centimeters and a width of 3 centimeters, the area is 7 cm * 3 cm = 21 cm². Area is always expressed in square units, so the answer is 21 cm².

Question 19: The sum of two numbers is 756. The number 356 is one of them. What's the other number?

320
400 (Correct answer)
370
456

Correct answer: 400

To find the other number, subtract the known number from the given sum. The sum of the two numbers is 756, and one of the numbers is 356. Therefore, the other number is 756 - 356 = 400.

Question 20: Jing is conducting research for a science project. She must divide the water in the beaker below evenly into three smaller beakers. How much water will each beaker contain?

10g
11g
8g
12g (Correct answer)
9g

Correct answer: 12g

To determine how much water each smaller beaker will contain, divide the total amount of water by the number of beakers. Assuming the beaker initially contains 36g of water, and it needs to be divided evenly into three smaller beakers, each beaker will contain 36g ÷ 3 = 12g of water.

Question 21: What is the number that the arrow is pointing to?

42
30 (Correct answer)
38
36

Correct answer: 30

To identify the number the arrow is pointing to on a number line, observe the intervals between the marked numbers. If the number line shows increments of 10 (e.g., 20, 40) and the arrow is exactly halfway between 20 and 40, it indicates the number 30.

Question 22: 4 hundreds, 8 tens, and 4 ones make up what number?

484 (Correct answer)
4084
844
448

Correct answer: 484

To form the number, combine the values from each place value. Four hundreds represent 400, eight tens represent 80, and four ones represent 4. Adding these values together (400 + 80 + 4) results in the number 484.

Question 23: Which of the following multiplication facts is being modeled?

4 x 9 = 36
3 x 10 = 30
3 x 9 = 27 (Correct answer)
4 x 10 = 40

Correct answer: 3 x 9 = 27

A multiplication fact modeled by an array is determined by counting the number of rows and the number of columns. If the array shows 3 rows and 9 columns, the multiplication fact represented is 3 multiplied by 9, which equals 27. This demonstrates the total number of items in the array.

Question 24: Cristine is conducting research for a science project. She requires four times the amount of water indicated on the scale below. How much water will she require?

40g
52g
48g
56g
44g (Correct answer)

Correct answer: 44g

To find out how much water Cristine will require, multiply the initial amount shown on the scale by four. Assuming the scale initially indicates 11g of water, four times that amount would be 11g * 4 = 44g. Therefore, she will require 44g of water.

Question 25: The models below are all the same size and have been divided into equal portions. Two fractions can be written using the models.

2/8 is smaller than 4/16.
2/8 is equal to 4/16. (Correct answer)
We cannot compare these two fractions only by using the models.
2/8 is bigger than 4/16.

Correct answer: 2/8 is equal to 4/16.

Two fractions are equivalent if they represent the same proportion of a whole, even if they have different numerators and denominators. The fraction 2/8 simplifies to 1/4 (by dividing both by 2), and the fraction 4/16 also simplifies to 1/4 (by dividing both by 4). Since both fractions simplify to 1/4, they are equal.

STAAR Practice Test (Grade 3: Mathematics)

Which of the statements about the number 24,589 is true?