4th Grade Aims Practice Test Math Section 1

1) What number goes in for "x" to make the equation below true?

56 = x times 7

9

8

7

6

To make the equation "56 = x times 7" true, we need to find the value of x. Since x is multiplied by 7 to give 56, we can divide 56 by 7 to find the value of x. Dividing 56 by 7 gives us 8, so the value of x that makes the equation true is 8.

Explanation

To make the equation "56 = x times 7" true, we need to find the value of x. Since x is multiplied by 7 to give 56, we can divide 56 by 7 to find the value of x. Dividing 56 by 7 gives us 8, so the value of x that makes the equation true is 8.

2) Kevin used a rule to make the number pattern shown below. 30 33 36 39 42 Which of the following uses the same rule?

35 34 33 32

35 38 41 44

35 37 39 41

35 38 40 43

The rule used by Kevin to create the number pattern is to add 3 to each number. This can be observed by adding 3 to the previous number in the pattern. Therefore, the sequence that follows the same rule is 35, 38, 41, 44.

Explanation

The rule used by Kevin to create the number pattern is to add 3 to each number. This can be observed by adding 3 to the previous number in the pattern. Therefore, the sequence that follows the same rule is 35, 38, 41, 44.

3) What is the solution to the problem shown below?

7/8 - 2/8 = ?

2/8

3/8

5/8

9/8

The solution to the problem shown is 5/8. To solve this, you subtract the numerator of the second fraction (2) from the numerator of the first fraction (7), while keeping the denominator (8) the same. This gives you a result of 5/8.

Explanation

The solution to the problem shown is 5/8. To solve this, you subtract the numerator of the second fraction (2) from the numerator of the first fraction (7), while keeping the denominator (8) the same. This gives you a result of 5/8.

4) The city Elizabeth lives in has a population of 320,564. Which of the following shows 320,564 in words?

Three hundred twenty thousand five hundred sixty-four

Three hundred twenty-five thousand sixty-four

Three hundred two thousand five hundred sixty-four

Three hundred two thousand six hundred fifty-four

The correct answer is "Three hundred twenty thousand five hundred sixty-four" because it accurately represents the number 320,564 in words.

Explanation

The correct answer is "Three hundred twenty thousand five hundred sixty-four" because it accurately represents the number 320,564 in words.

5) What is the solution to the problem shown below? 3,403 - 2,265

1,138

1,202

1,262

1,668

The solution to the problem shown is 1,138. This can be obtained by subtracting 2,265 from 3,403.

Explanation

The solution to the problem shown is 1,138. This can be obtained by subtracting 2,265 from 3,403.

6) Which of the following statements is true?

83,521 > 85,432

85,383 > 85,338

53,785 > 53,875

54,736 > 57,463

In the given options, the numbers are arranged in descending order. The first number, 85,383, is greater than the second number, 85,338. Therefore, the statement "85,383 > 85,338" is true.

Explanation

In the given options, the numbers are arranged in descending order. The first number, 85,383, is greater than the second number, 85,338. Therefore, the statement "85,383 > 85,338" is true.

7) What is the value of the following when B = 8? 72 / B

8

9

63

81

When B is equal to 8, the value of the expression 72 / B can be calculated as 72 / 8, which equals 9.

Explanation

When B is equal to 8, the value of the expression 72 / B can be calculated as 72 / 8, which equals 9.

8) The table below gives an input that changes to an output by following the rule shown.

Input	Output
1	7
2	9
3	11
4	?

Rule: Multiply by two than add five. If this pattern continues what should four's output be?

16

13

10

8

The given rule states that you should multiply the input by two and then add five to get the output. Applying this rule to the input value of 4, we get (4 * 2) + 5 = 13. Therefore, the output for the number 4 should be 13.

Explanation

The given rule states that you should multiply the input by two and then add five to get the output. Applying this rule to the input value of 4, we get (4 * 2) + 5 = 13. Therefore, the output for the number 4 should be 13.

9) What is the solution to the problem shown below? 8,259 + 2,175

6,084

10,324

10,434

11,234

The correct answer is 10,434 because when you add 8,259 and 2,175, you get a sum of 10,434.

Explanation

The correct answer is 10,434 because when you add 8,259 and 2,175, you get a sum of 10,434.

10) Some fourth graders at Cactus Wren school wrote letters to their pen pals. The number of letters written by each class is listed in the chart below.

Number of Pen Pal Letters Written

Class	# of letters
Mr. Damas	65
Ms. Hendrickson	58
Ms. Martinez	42
Ms. Walker	39

Based on the chart, how many more letters were written by students in Mr. Damas’ class than by students in Ms. Walker’s class?

7

19

23

26

The number of letters written by students in Mr. Damas' class is 65, while the number of letters written by students in Ms. Walker's class is 39. To find the difference, we subtract the number of letters written by Ms. Walker's class from the number of letters written by Mr. Damas' class: 65 - 39 = 26. Therefore, there were 26 more letters written by students in Mr. Damas' class than by students in Ms. Walker's class.

Explanation

The number of letters written by students in Mr. Damas' class is 65, while the number of letters written by students in Ms. Walker's class is 39. To find the difference, we subtract the number of letters written by Ms. Walker's class from the number of letters written by Mr. Damas' class: 65 - 39 = 26. Therefore, there were 26 more letters written by students in Mr. Damas' class than by students in Ms. Walker's class.

11) Adele used a rule to complete the Input-Output table shown below.

Input	1	3	5	7
Output	5	15	25	35

Which of the following rules did Adele use?

Add 4 to the input

Subtract 4 from the input

Multiply the input by 5

Divide the input by 5

Adele used the rule of multiplying the input by 5. This is evident from the output values, which are obtained by multiplying each input value by 5.

Explanation

Adele used the rule of multiplying the input by 5. This is evident from the output values, which are obtained by multiplying each input value by 5.

12) Jorgé went to a movie that started at 7:20 pm. He arrived at 6:15 pm. How much time was there between when Jorgé arrived and when the movie started?

55 min

65 min

95 min

105 min

The time between when Jorgé arrived and when the movie started can be calculated by subtracting the arrival time from the start time. In this case, 7:20 pm minus 6:15 pm equals 1 hour and 5 minutes, which is equivalent to 65 minutes.

Explanation

The time between when Jorgé arrived and when the movie started can be calculated by subtracting the arrival time from the start time. In this case, 7:20 pm minus 6:15 pm equals 1 hour and 5 minutes, which is equivalent to 65 minutes.

13) Which list of numbers is in order from greatest to least?

5,846 5,684 5,648 5,468

5,864 5,648 5,468 5,684

5,468 5,648 5,684 5,846

5,486 5,846 5,648 5,464

The correct answer is 5,846 5,684 5,648 5,468 because it is the only option where the numbers are arranged in descending order from greatest to least.

Explanation

The correct answer is 5,846 5,684 5,648 5,468 because it is the only option where the numbers are arranged in descending order from greatest to least.

14) The library charges fines for each book that is returned late. The table shows the amount charged for different numbers of days that a book is returned late.
Overdue book charges

Number of days late	5	6	7	8
Amount Charged	$1.25	$1.50	$1.75	$2.00

Based on the data in the table, which of the following is the amount charged for returning a library book 1 day late?

$1.00

$0.75

$0.50

$0.25

The table shows that for each additional day that a book is returned late, the amount charged increases by $0.25. Therefore, if a book is returned 1 day late, the amount charged would be $0.25.

Explanation

The table shows that for each additional day that a book is returned late, the amount charged increases by $0.25. Therefore, if a book is returned 1 day late, the amount charged would be $0.25.

15) Trisha bought 3 kilograms of sugar. Which of the following is less than 3 kilograms?

2,500 grams

3,000 grams

3,500 grams

4,000 grams

Since 1 kilogram is equal to 1000 grams, 3 kilograms is equal to 3000 grams. Therefore, 2,500 grams is less than 3 kilograms.

Explanation

Since 1 kilogram is equal to 1000 grams, 3 kilograms is equal to 3000 grams. Therefore, 2,500 grams is less than 3 kilograms.

16) What is the solution to the problem shown below? 1,284 divided by 4

123

231

312

321

The solution to the problem 1,284 divided by 4 is 321. This can be determined by dividing 1,284 by 4, which equals 321.

Explanation

The solution to the problem 1,284 divided by 4 is 321. This can be determined by dividing 1,284 by 4, which equals 321.

17) Marta used a rule to combine the numbers in column A and column B to get the number in column C.

A	B	C
14	2	7
20	4	5
36	4	9
24	3	8
19	3	?

Add the number in a to the number next to it in b.

Subtract the number in b from column a.

Multiply the number in a with the number in b.

Divide the number in a by the number next to it in column b.

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Explanation

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18) Which list of fractions is in order from greatest to least?

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Explanation

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19) Lola is making ice cream sundaes for her friends. They may choose between 3 kinds of ice cream and 2 kinds of toppings. The chart below shows the choices. Choices for Sundaes

Ice Cream	Toppings
Chocolate Strawberry Vanilla	Sprinkles Syrup

What is the total number of combinations of 1 kind of ice cream and 1 kind of topping that Lola’s friends can choose?

5

6

9

10

Lola's friends can choose from 3 kinds of ice cream and 2 kinds of toppings. To find the total number of combinations, we multiply the number of choices for ice cream (3) by the number of choices for toppings (2). Therefore, the total number of combinations of 1 kind of ice cream and 1 kind of topping that Lola's friends can choose is 3 x 2 = 6.

Explanation

Lola's friends can choose from 3 kinds of ice cream and 2 kinds of toppings. To find the total number of combinations, we multiply the number of choices for ice cream (3) by the number of choices for toppings (2). Therefore, the total number of combinations of 1 kind of ice cream and 1 kind of topping that Lola's friends can choose is 3 x 2 = 6.

20) Which list is in order from least to greatest?

The given list is in order from least to greatest because 0.212 is the smallest number, followed by 0.30, and then 0.31, which is the largest number in the list.

Explanation

The given list is in order from least to greatest because 0.212 is the smallest number, followed by 0.30, and then 0.31, which is the largest number in the list.

21) For which of the following expressions would 70 be the best estimate?

13 x 5

12 x 4

14 x 7

15 x 3

The expression 13 x 5 would be the best estimate for 70 because it is the closest multiplication expression to 70. The other expressions, 12 x 4, 14 x 7, and 15 x 3, would result in larger products which are further away from 70.

Explanation

The expression 13 x 5 would be the best estimate for 70 because it is the closest multiplication expression to 70. The other expressions, 12 x 4, 14 x 7, and 15 x 3, would result in larger products which are further away from 70.

22) Sam wants to color the design below so that the regions with common edges do not have the same color.

See diagram #2

What is the least number of colors that Sam can use?

5

4

3

2

The design has multiple regions with common edges. In order to ensure that regions with common edges do not have the same color, Sam needs to use different colors for these regions. The least number of colors that can be used is 3, as this would allow Sam to color each region with a different color while ensuring that no two regions with common edges have the same color.

Explanation

The design has multiple regions with common edges. In order to ensure that regions with common edges do not have the same color, Sam needs to use different colors for these regions. The least number of colors that can be used is 3, as this would allow Sam to color each region with a different color while ensuring that no two regions with common edges have the same color.

23) Which of the following represents a model of a cube?

See diagram #5

Diagram 5

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Explanation

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24) Ms. Barry’s students made a graph from the results of voting on their favorite color. See chart #1

Based on the graph, which statement is true?

More students like the color purplethan the color green.

More students like the color red thanthe color blue.

Yellow is the least popular color.

Blue is the most popular color.

Based on the graph, it can be observed that the bar representing the color blue is the tallest, indicating that it has the highest number of votes. Therefore, the statement "Blue is the most popular color" is true.

Explanation

Based on the graph, it can be observed that the bar representing the color blue is the tallest, indicating that it has the highest number of votes. Therefore, the statement "Blue is the most popular color" is true.

25) Which of the following has about the same mass as a 2 pound math book?

A 150 kilogram person

A 400 gram banana

A 12 ounce soda

A 34 ounce baseball bat

A 34 ounce baseball bat has about the same mass as a 2 pound math book. Since 1 pound is equal to 16 ounces, a 2 pound math book would weigh 32 ounces. Therefore, a 34 ounce baseball bat is approximately equal in mass to a 2 pound math book.

Explanation

A 34 ounce baseball bat has about the same mass as a 2 pound math book. Since 1 pound is equal to 16 ounces, a 2 pound math book would weigh 32 ounces. Therefore, a 34 ounce baseball bat is approximately equal in mass to a 2 pound math book.

26) The map below shows 3 towns. It is 29 miles from Heber to Show Low. see diagram #4

What is the best estimate for the distance from Heber to McNary?

35 miles

45 miles

60 miles

80 miles

Based on the given map, Heber is 29 miles away from Show Low. McNary is located between Heber and Show Low, so it is reasonable to assume that the distance from Heber to McNary would be less than the distance from Heber to Show Low. The closest option to this estimation is 60 miles, making it the best estimate for the distance from Heber to McNary.

Explanation

Based on the given map, Heber is 29 miles away from Show Low. McNary is located between Heber and Show Low, so it is reasonable to assume that the distance from Heber to McNary would be less than the distance from Heber to Show Low. The closest option to this estimation is 60 miles, making it the best estimate for the distance from Heber to McNary.

27) Each student in Mr. Montoya's class predicted the type of section the arrow on the spinner shown below would stop on most often.

See diagram #9

The charts below show the students' predictions and the results of the experiments.

see diagram #9

Autumn

Bob

Erina

Sam

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Explanation

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28) Which of the following could be used to determine the perimeter of the shape below?

See diagram 6

3+5

3 x 6 + 5

3 + 3 + 3 + 5

6 x 3 + 2 x 5

To determine the perimeter of the shape, we need to add up the lengths of all the sides. The shape has two sides with length 6 and two sides with length 5. Therefore, the perimeter can be calculated as 6 x 3 + 2 x 5.

Explanation

To determine the perimeter of the shape, we need to add up the lengths of all the sides. The shape has two sides with length 6 and two sides with length 5. Therefore, the perimeter can be calculated as 6 x 3 + 2 x 5.

29) Carmen spun the spinner shown below 25 times to find out whether it would stop on blue (B) or green (G) more often and recorded the results in a tally chart.

See diagram 7

See diagram 7

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Explanation

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30) Which pair of figures appears to be congruent?

see diagram #13

See diagram #12

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Explanation

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31) Which pair of figures appears to be similar?

See diagram #3

Hexagons

Triangles

Quadrilaterals

Hearts

Based on the information given, it is not possible to determine which pair of figures appears to be similar. The question does not provide any additional details or context regarding the figures. Therefore, without further information, it is not possible to identify the correct answer.

Explanation

Based on the information given, it is not possible to determine which pair of figures appears to be similar. The question does not provide any additional details or context regarding the figures. Therefore, without further information, it is not possible to identify the correct answer.

32) Students in Ms. Hunting’s class sorted a set of numbers using the Venn diagram below.

See diagram #12

How many numbers from the set of numbers are multiples of both 3 and 4?

13

12

2

1

The Venn diagram shows that there are two numbers that are multiples of both 3 and 4. This means that these numbers are divisible by both 3 and 4 without leaving a remainder. Therefore, the correct answer is 2.

Explanation

The Venn diagram shows that there are two numbers that are multiples of both 3 and 4. This means that these numbers are divisible by both 3 and 4 without leaving a remainder. Therefore, the correct answer is 2.

33) Which of the following is a reasonable measure for the area of a classroom?

100 square inches

100 square feet

100 square miles

100 square yards

A reasonable measure for the area of a classroom would be in square feet or square yards, as these measurements are commonly used for indoor spaces. Square inches and square miles would be too small and too large, respectively, for measuring the area of a classroom. Therefore, the correct answer is 100 square yards.

Explanation

A reasonable measure for the area of a classroom would be in square feet or square yards, as these measurements are commonly used for indoor spaces. Square inches and square miles would be too small and too large, respectively, for measuring the area of a classroom. Therefore, the correct answer is 100 square yards.

34) Which of the following best represents only a translation (slide) up?

See diagram 10

See diagram 9

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Explanation

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35) Which of the following is a true statement about the rectangle below?

See diagram 8

Perimeter = 28 meters squared

Perimeter = 40m

Area = 28m

Area = 40m2

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Explanation

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36) The graph below shows the amount of time Leon spent reading each day last week.

See diagram #11

If the trend shown on the graph continues, which of the following is the most reasonable prediction of the amount of time Leon will spend reading on Friday?

60 minutes

80minutes

100 minutes

120 minutes

The graph shows that Leon's reading time has been increasing steadily throughout the week. Therefore, it is reasonable to predict that he will continue this trend and spend even more time reading on Friday. The most reasonable prediction would be 120 minutes, as it is the highest value among the options given.

Explanation

The graph shows that Leon's reading time has been increasing steadily throughout the week. Therefore, it is reasonable to predict that he will continue this trend and spend even more time reading on Friday. The most reasonable prediction would be 120 minutes, as it is the highest value among the options given.