The Diagnostic Math Test Part I

The fraction 5/8 represents the proportion of the set that is gray. This means that out of the total set, 5 out of 8 parts are gray.

The gallon is the most appropriate unit to measure the water used to take a shower because it is a larger unit of volume compared to the other options. Showers typically use a significant amount of water, and gallons are commonly used to measure larger quantities of liquid. Pints, cups, and fluid ounces are smaller units and would not accurately represent the amount of water used in a shower.

To estimate 315 divided by 4, we can round 315 to the nearest multiple of 4, which is 316. Dividing 316 by 4 gives us 79 with a remainder of 0. Since 315 is slightly less than 316, the most reasonable estimate would be slightly less than 79, which is 80. Therefore, 80 is the most reasonable estimate for 315 divided by 4.

Barb had the most votes for class representative.

The dotted line D is a line of symmetry because when the image is folded along this line, the two halves will perfectly overlap each other. This means that the shape on one side of the line is a mirror image of the shape on the other side of the line. Therefore, line D is a line of symmetry.

The underlined digit in the number 35,028 is 30,000. This is because the underlined digit is the digit in the ten thousands place, which is the fourth digit from the right. In the number 35,028, the digit 3 is in the ten thousands place, so the value of the underlined digit is 30,000.

The correct answer is 95,430. To find the sum of 23,816 and 71,614, we add the corresponding place values of each digit. Starting from the rightmost digit, 6+4 equals 10, so we write down 0 and carry over the 1 to the next column. In the next column, we have 1+1+1 equals 3. Then, in the next column, we have 8+6 equals 14, so we write down 4 and carry over the 1. Finally, in the leftmost column, we have 2+7+1 equals 10, so we write down 0 and carry over the 1. The sum is 95,430.

The number sentence 0.6>0.57 is true because 0.6 is greater than 0.57.

The product of 6 and 9 is found by multiplying the two numbers together. In this case, 6 multiplied by 9 equals 54.

A hexagon is a polygon with six vertices. It is a closed shape with six straight sides. The term "hexa" means six, so a hexagon has six angles and six vertices. Therefore, the correct answer is hexagon.

To find the product of 23 and 125, multiply the two numbers together. 23 multiplied by 125 equals 2,875.

Since there are 6 rows with the same number of seats, we can divide the total number of seats (42) by the number of rows (6) to find out how many seats are in each row. 42 divided by 6 equals 7, so there are 7 seats in each row.

The numbers are ordered from least to greatest by comparing the digits from left to right. In the given answer, 213,671 is the smallest number as it has the smallest digit in the thousands place. Next, 213,761 is larger than 213,671 as it has a larger digit in the thousands place. Finally, 214,681 is the largest number as it has the largest digit in the thousands place. Therefore, the correct order is 213,671, 213,761, 214,681.

The pattern in the given sequence is that each number is obtained by multiplying the previous number by 2. Starting with 4, we multiply it by 2 to get 8, then multiply 8 by 2 to get 16, and so on. Therefore, to find the missing number, we need to multiply the previous number (32) by 2, which gives us 64.

To find the difference between two fractions with the same denominator, we subtract their numerators and keep the denominator the same. In this case, the numerator of the first fraction is 7 and the numerator of the second fraction is 5. Subtracting 5 from 7 gives us 2. Since the denominator is 8, the result is 2/8, which can be simplified to 1/4.

The number expression "10+5" represents "5 more than 10" because when you add 5 to 10, you get a sum of 15, which is 5 more than the original number 10.

A segment in a circle is a part of the circle that is enclosed by a chord. A chord is a line segment that connects two points on the circumference of the circle. In this case, the segment mentioned in the question is not a chord because it does not connect two points on the circumference. Instead, it is a radius, which is a line segment that connects the center of the circle to any point on the circumference. Therefore, the correct answer is radius.

To multiply 70 by 4,000 using mental math, we can first multiply 7 by 4 to get 28. Then, we add four zeros to the end of this result to get 280,000.

There are 7 members in the Spanish club, and each member raised $65 in the fundraiser. To find the total amount of money raised, we multiply the number of members (7) by the amount raised per member ($65). 7 * $65 = $455. Therefore, the correct answer is $455.

To simplify the fraction 12/22, we can divide both the numerator and denominator by their greatest common divisor, which is 2. 12 divided by 2 is 6, and 22 divided by 2 is 11. Therefore, the simplest form of 12/22 is 6/11.

The correct answer is 87 R2. This means that when 263 is divided by 3, the quotient is 87 and the remainder is 2.

The most reasonable estimate for 6 x 379 is 2,400. This can be determined by rounding 379 to the nearest hundred, which is 400, and then multiplying it by 6. Since 400 is close to 379, the product of 6 x 400 is a reasonable estimate for 6 x 379. The product of 6 x 400 is 2,400.

The fraction 7/10 can be written as a decimal by dividing 7 by 10. When 7 is divided by 10, the quotient is 0.7. Therefore, the correct answer is 0.7.

To convert feet to yards, divide the number of feet by 3, since there are 3 feet in a yard. In this case, 36 feet divided by 3 equals 12 yards.

The total cost of the fabric can be calculated by multiplying the number of yards (5) by the cost per yard ($2.79). Therefore, the total cost of the fabric is $13.95.

The range is the difference between the highest and lowest values in a data set. In this case, the highest shoe size is 12 and the lowest shoe size is 4. Therefore, the range is 12 - 4 = 8.

There are 10 millimeters in 1 centimeter, so to find out how many millimeters are in 2 centimeters, we multiply 2 by 10, which equals 20.

The most reasonable estimate for 12 x 472 is 5,000 because it is the closest option to the actual product. Multiplying 12 by 472 gives us 5,664, which is closest to 5,000 compared to the other options.

The product of 6 x 3 x 5 is equal to 90. Among the given options, the product 6 x 18 is not the same as 6 x 3 x 5.

To find 3,000-1,532, we subtract the second number from the first. Subtracting 1,532 from 3,000 gives us 1,468. Therefore, the correct answer is 1,468.

The expression 3n means multiplying 3 by the value of n. In this case, n is given as 7. So, 3 multiplied by 7 is equal to 21.

The elapsed time from 7:30 A.M. to 9:12 A.M. is 1 hour and 42 minutes. To find the elapsed time, subtract the starting time from the ending time. In this case, subtracting 7:30 A.M. from 9:12 A.M. gives us 1 hour and 42 minutes.

The given number, 577,312, is rounded to the nearest thousand. To round a number to the nearest thousand, we look at the hundreds place. If the digit in the hundreds place is 5 or greater, we round up to the next thousand. In this case, the digit in the hundreds place is 3, which is less than 5. Therefore, we round down to the nearest thousand, which is 577,000.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. In this case, multiplying 3 by 8 gives us 24, and adding the numerator 8 gives us 32. Therefore, 3 1/8 can be written as the improper fraction 32/8, which can be simplified to 25/8.

132 is divisible by 3 because the sum of its digits (1 + 3 + 2 = 6) is divisible by 3.

To divide 5,400 by 90 mentally, we can start by dividing each number by 10. 5,400 divided by 10 is 540, and 90 divided by 10 is 9. Then, we can divide 540 by 9, which gives us 60. Therefore, the answer is 60.

The perimeter of a rectangle is calculated by adding up all the sides of the rectangle. In this case, the two sides given are 14 m and 20 m. To find the perimeter, we add these two sides together: 14 m + 20 m = 34 m. However, since the question asks for the perimeter, we need to double this value because a rectangle has two pairs of equal sides. Therefore, the perimeter of the rectangle is 2 * 34 m = 68 m. Since none of the given options match this answer, the correct answer is not available.

The probability of spinning a 5 when spinning the spinner once is impossible because the options provided do not include a 5.

The area of a rectangle is calculated by multiplying its length by its width. Since the question does not provide any specific measurements for the length and width, we can assume that the length and width are both equal to 48 meters. Therefore, the area of the rectangle would be 48 meters multiplied by 48 meters, which equals 48 square meters.

To round a number to the nearest tenth, we look at the digit in the hundredth place. In this case, the digit in the hundredth place is 8. Since 8 is greater than or equal to 5, we round up the digit in the tenths place, which is 1, to the next higher number. Therefore, 21.83 rounds to 21.8.