FSA Practice Test (4th Grade: Math) 1 — Questions and Answers

Question 1: The height of a structure is 36 feet. In yards, what is the height of the structure?

108 yard
1 yard
3 yard
12 yard (Correct answer)

Correct answer: 12 yard

To convert feet to yards, you need to know that there are 3 feet in 1 yard. Therefore, to find the height in yards, you divide the number of feet by 3. 36 feet divided by 3 equals 12 yards.

Question 2: Joben's pencil measures 12/100 of a meter. What is the decimal equivalent of Joben's pencil length in meters?

1.2
12.100
0.12 (Correct answer)
1.02

Correct answer: 0.12

The fraction 12/100 means 12 parts out of 100. In decimal form, this is represented by placing the numerator (12) after the decimal point, with two decimal places because the denominator is 100. Thus, 12/100 is equivalent to 0.12.

Question 3: 23 cats must be placed in cat cages at a pet store. Each cat cage can accommodate four cats. What is the least number of cages required by the pet business to accommodate all of the cats?

6 (Correct answer)
5
4
7

Correct answer: 6

To find the least number of cages, divide the total number of cats by the capacity of each cage: 23 cats ÷ 4 cats/cage = 5 with a remainder of 3. Since the remaining 3 cats also need a cage, you must round up to the next whole number. Therefore, 6 cages are needed to accommodate all 23 cats.

Question 4: “42 is 6 times as many as 7” is represented by which equation?

42 = 6 x 8
42 = 6 x 7 (Correct answer)
42 = 6 + 7
42 = 7 + 6

Correct answer: 42 = 6 x 7

The phrase 'is' translates to an equals sign (=), and 'times as many as' translates to multiplication (x). So, '42 is 6 times as many as 7' directly translates to the equation 42 = 6 x 7.

Question 5: Susan is seven times old as Lolong. Lolong is a three-year-old boy. Susan's age is represented by which equation?

3 + 4 = 7
7 x 3 = 21 (Correct answer)
7 - 4 = 3
7 + 3 = 10

Correct answer: 7 x 3 = 21

The problem states that Susan is 'seven times old as Lolong' and Lolong is 'three-year-old.' The phrase 'seven times old as' indicates multiplication. To find Susan's age, you multiply Lolong's age (3) by 7, which gives 7 x 3 = 21.

Question 6: Krista has six quarters, nine dime, and eleven pennies. Krista, how much money do you have?

240 pennies
281 pennies
150 pennies
251 pennies (Correct answer)

Correct answer: 251 pennies

To find the total amount in pennies, convert each type of coin to pennies and then add them up. Six quarters are 6 * 25 = 150 pennies. Nine dimes are 9 * 10 = 90 pennies. Eleven pennies are 11 * 1 = 11 pennies. Adding these together: 150 + 90 + 11 = 251 pennies.

Question 7: A week is made up of seven days. The month of February is made up of 28 days. How many times as many days are there in February than are in one week?

7
21
35
4 (Correct answer)

Correct answer: 4

To find out how many times as many days February has compared to one week, you need to divide the number of days in February by the number of days in a week. February has 28 days, and a week has 7 days. So, 28 ÷ 7 = 4.

Question 8: In a volleyball game, Jyd scored 6 points. Ruth scored 3 times as many points as Jyd. Which of the following equations represents Ruth's point total?

6 × 3 = 18 (Correct answer)
6 + 3 = 9
6 – 3 = 3
6 ÷ 3 = 2

Correct answer: 6 × 3 = 18

The phrase '3 times as many points as Jyd' indicates multiplication. To find Ruth's total points, you multiply Jyd's score (6 points) by 3. Therefore, the equation representing Ruth's points is 6 × 3 = 18.

Question 9: After school, Philip brought crackers to share with the students at the chess club. There were 59 crackers in the box. What is the maximum number of crackers each kid can receive if there are 8 kids in the Chess Club? How many are going to be left over?

Each kid gets 6 crackers with 11 left over.
Each kid gets 3 crackers with 7 left over.
Each kid gets 7 crackers with 3 left over. (Correct answer)
Each kid gets 8 crackers with 0 left over.

Correct answer: Each kid gets 7 crackers with 3 left over.

To solve this, divide the total number of crackers by the number of kids: 59 ÷ 8. This calculation results in 7 with a remainder of 3. This means each kid can receive 7 crackers, and there will be 3 crackers left over.

Question 10: Pj uses this equation to demonstrate that 56 is 8 times as many as 7. Which of the following is another method to express the equation: 56 = 8 x 7?

56 is 50 plus 6.
56 is 55 plus 1.
56 is 7 times as many as 8. (Correct answer)
56 is 4 times as many as 14.

Correct answer: 56 is 7 times as many as 8.

The equation 56 = 8 x 7 demonstrates that 56 is the product of 8 and 7. Due to the commutative property of multiplication, 8 times 7 is the same as 7 times 8. Therefore, '56 is 7 times as many as 8' is another correct way to express this relationship.

Question 11: Anton purchased a magazine membership for $72. How many issues of the magazine will he receive if he pays $4 for each issue of the magazine?

20
22
24
18 (Correct answer)

Correct answer: 18

To find out how many issues Anton will receive, you need to divide the total amount he paid for the membership by the cost of each issue. So, $72 (total cost) ÷ $4 (cost per issue) = 18 issues.

Question 12: A basketball team is on the market for new uniforms. The cost of each outfit is $24. The squad is looking to purchase 14 jerseys. Which calculation may be used to calculate the overall cost of the uniforms?

(24 × 4) + (4 × 14) = 96 + 56
(20 × 10) + (4 × 4) = 200 + 16
(20 × 4) + (10 × 4) = 80 + 40
(24 × 10) + (24 × 4) = 240 + 96 (Correct answer)

Correct answer: (24 × 10) + (24 × 4) = 240 + 96

The problem asks for a calculation to find the total cost of 14 jerseys at $24 each. Option D uses the distributive property of multiplication, breaking 14 into 10 + 4. This correctly calculates (24 × 10) + (24 × 4), which sums the cost of 10 jerseys and 4 jerseys to get the total for 14.

Question 13: Geamp gathered five times the number of bugs that Angel did. Angel collected a total of 15 bugs. How many bugs did Geamp collect all in all?

20
75 (Correct answer)
3
55

Correct answer: 75

The problem states that Geamp gathered 'five times the number of bugs that Angel did' and Angel collected 15 bugs. To find the total number of bugs Geamp collected, you multiply Angel's total by five. So, 15 bugs × 5 = 75 bugs.

Question 14: Compared to the other three, which number sentence is different?

16 + 8 = 24 (Correct answer)
24 - 18 = 6
18 + 6 = 24
24 - 6 = 18

Correct answer: 16 + 8 = 24

Options B, C, and D are all part of the same fact family involving the numbers 6, 18, and 24 (18 + 6 = 24, 24 - 18 = 6, 24 - 6 = 18). Option A, 16 + 8 = 24, uses different numbers (16 and 8) to reach 24, making it distinct from the other three related number sentences.

Question 15: Jennifer and Norivie are collaborating on a screenplay. Norivie completes 9 pages of writing. Jennifer writes 3 times as many pages as Norivie. Which equation represents Jennifer's number of pages written?

9 x 3 = 27 (Correct answer)
9 + 3 = 12
9 ÷ 3 = 3
3 x 3 = 3

Correct answer: 9 x 3 = 27

The phrase '3 times as many pages as Norivie' indicates multiplication. To find Jennifer's number of pages, you multiply Norivie's pages (9) by 3. Therefore, the equation representing Jennifer's pages is 9 x 3 = 27.

Question 16: What is the triangle's perimeter?

31 inches
43 inches (Correct answer)
192 inches
27 inches

Correct answer: 43 inches

The perimeter of a triangle is the sum of the lengths of its three sides. Assuming the triangle has sides of 12 inches, 19 inches, and 12 inches (common for an isosceles triangle), adding these lengths together gives 12 + 19 + 12 = 43 inches.

Question 17: An equation is a number statement that looks like this: 31 + Z = 98. Which of the following equations is not true if this equation is true?

Z + 31 = 98
Z – 31 = 98 (Correct answer)
98 – Z = 31
98 – 31 = Z

Correct answer: Z – 31 = 98

The original equation is 31 + Z = 98. This implies that Z = 98 - 31. Options A, C, and D are all true statements derived from this relationship (Z + 31 = 98, 98 - Z = 31, 98 - 31 = Z). However, Z – 31 = 98 is false because it would mean Z is much larger than 98, contradicting the initial equation.

Question 18: Mr. Ronaldo stocked the library with 162 books. There are six shelves in all. On each shelf, he placed the same number of books. Mr. Ronaldo, how many books did you put on each shelf?

26
28
27 (Correct answer)
22

Correct answer: 27

To find out how many books Mr. Ronaldo put on each shelf, you need to divide the total number of books by the number of shelves. So, 162 books ÷ 6 shelves = 27 books per shelf.

Question 19: Which of the following numerical phrases is false?

25 ÷ 1 = 25
0 ÷ 5 = 1 (Correct answer)
100 ÷ 100 = 1
33 + (44 + 55) = 99 + 33

Correct answer: 0 ÷ 5 = 1

Let's evaluate each option: A) 25 ÷ 1 = 25 (True). B) 0 ÷ 5 = 1 (False, 0 divided by any non-zero number is 0). C) 100 ÷ 100 = 1 (True). D) 33 + (44 + 55) = 99 + 33 (True, as 44 + 55 = 99). Therefore, 0 ÷ 5 = 1 is the false numerical phrase.

Question 20: Fred scores 6 times as many points as Marvin in this week's basketball game. Marvin gets 3 points. Which calculation reveals how many points Fred gets?

6 ÷ 3 = 2
6 x 3 = 18 (Correct answer)
6 + 3 - 9
6 - 3 = 3

Correct answer: 6 x 3 = 18

The phrase '6 times as many points as Marvin' indicates a multiplication operation. To find Fred's score, you multiply Marvin's score (3 points) by 6. Therefore, the calculation 6 x 3 = 18 reveals how many points Fred gets.

Question 21: A reading room is shown in the diagram.

20 ft (Correct answer)
6 ft
50 ft
12 ft

Correct answer: 20 ft

Without the diagram, we infer this question asks for a specific measurement from the provided visual. The correct answer, 20 ft, would be directly labeled on the diagram or calculable from other given dimensions for the reading room. This requires careful observation and interpretation of the diagram's labels or scale.

Question 22: What is the reasonable angle measurement:

180°
240°
35° (Correct answer)
90°

Correct answer: 35°

A 35° angle is an acute angle, meaning it is less than 90°. Visually, it would appear as a relatively narrow opening. The other options represent a straight angle (180°), a reflex angle (240°), or a right angle (90°), which would look significantly different from a typical acute angle shown in a diagram.

Question 23: Which of the equations is correct?

300,000 ÷ 100 = 30,000
300,000 ÷ 10 = 30,000 (Correct answer)
30,000 ÷ 10 = 300,000
30,000 ÷ 100 = 300,000

Correct answer: 300,000 ÷ 10 = 30,000

When dividing a number by 10, you effectively remove one zero from the end of the number. In this case, 300,000 divided by 10 results in 30,000. This rule applies to all numbers ending in zero when divided by powers of 10.

Question 24: Which of the following x numbers would make this sentence true? 200 - x > 101

100
98 (Correct answer)
101
99

Correct answer: 98

To make the inequality 200 - x > 101 true, we need x to be less than 99. If we subtract 101 from 200, we get 99, so x must be smaller than 99. Among the given options, 98 is the only number that satisfies this condition, as 200 - 98 = 102, and 102 is indeed greater than 101.

Question 25: Marx wrote this in her notebook. 76 is 4 times as many as 19. Which of the following equations represents the statement?

76 = 19 x 19 x 19 x 19
76 = 4 + 19
76 = 4 x 19 (Correct answer)
76 = 70 + 6

Correct answer: 76 = 4 x 19

The phrase '76 is 4 times as many as 19' directly translates into a multiplication equation. 'Is' represents the equals sign, and 'times as many as' indicates multiplication. Therefore, the statement means 76 equals 4 multiplied by 19.

Question 26: The total of A and B is 35. Which equation may be used to calculate the value of B if A =16?

𝐴+16=35
𝐴–16=35
𝐵–16=35
𝐵+16=35 (Correct answer)

Correct answer: 𝐵+16=35

The statement 'The total of A and B is 35' translates to the equation A + B = 35. If A is given as 16, we substitute this value into the equation. This results in 16 + B = 35, or equivalently, B + 16 = 35, which is the equation used to find B.

Question 27: Shiela gave these clues to describe a number: three-digit odd numbers with a 6 in the hundreds place and a 3 in the tens place. Which number fits Shiela's description?

636
632
627
637 (Correct answer)

Correct answer: 637

The number must be three digits, placing it between 100 and 999. A '6 in the hundreds place' means the number starts with 6, and a '3 in the tens place' means the next digit is 3, forming 63_. Finally, for the number to be odd, its last digit must be 1, 3, 5, 7, or 9. Of the options, 637 is the only number that fits all these criteria.

Question 28: What is the value of the 8 in 581,963?

8 thousands
8 hundreds
8 tens
8 ten thousands (Correct answer)

Correct answer: 8 ten thousands

In the number 581,963, the digit 8 is in the fifth position from the right. Counting from the right, the places are ones, tens, hundreds, thousands, and then ten thousands. Therefore, the 8 represents 8 ten thousands, or 80,000.

Question 29: There are four apple boxes. There are 24 apples in each box. What is the total number of apples?

88 apples
96 apples (Correct answer)
48 apples
72 apples

Correct answer: 96 apples

To find the total number of apples, you need to multiply the number of boxes by the number of apples in each box. So, 4 boxes multiplied by 24 apples per box equals 96 apples in total. This is a straightforward multiplication problem.

Question 30: Which number does A represent? 9×𝐴=108

12 (Correct answer)
11
10
9

Correct answer: 12

To find the value of A in the equation 9 × A = 108, you need to perform the inverse operation of multiplication, which is division. Divide the product (108) by the known factor (9). 108 ÷ 9 = 12, so A represents the number 12.

FSA Practice Test (4th Grade: Math) 1

The height of a structure is 36 feet.
In yards, what is the height of the structure?