Practice Test (4th Grade: Math) Flashcards

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

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.

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

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.

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?

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.

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

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.

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

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.

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

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.

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?

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.

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?

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.

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?

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.

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?

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.

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?

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.

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?

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.

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?

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.

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

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.

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?

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.

What is the triangle's perimeter?

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.

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?

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.

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?

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.

Which of the following numerical phrases is false?

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.

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?

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.