A Diagnostic Math Test

Barb had the most votes for class representative.

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.

To find the sum of 23,816 and 71,614, we add the corresponding digits in each place value. Starting from the rightmost place value, 6 + 4 equals 10, so we carry over the 1 to the next place value. In the next place value, we have 1 + 1 + 1 (carried over) which equals 3. Continuing this process, we get 3 + 6 + 7 + 1 = 17 in the thousands place. Lastly, we add the 1 in the ten thousands place. Therefore, the sum is 95,430.

The fraction 12/22 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, 12/22 simplifies to 6/11.

The pattern in the given sequence is that each number is being multiplied by 2 to get the next number. 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 32 by 2, which gives us 64.

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

The dotted line in option D is a line of symmetry because when the shape is folded along this line, the two halves will perfectly overlap each other. This means that if any object or shape is placed on one side of the line, its mirror image will be on the other side. Therefore, option D is the correct answer.

The underlined digit in the number 35,028 is the 3 in the ten thousands place. Therefore, the value of the underlined digit is 30,000.

The total cost of the fabric can be calculated by multiplying the number of yards purchased (5) by the cost per yard ($2.79). So, 5 x $2.79 = $13.95.

The given expression is 3n, where n is equal to 7. Substituting the value of n into the expression, we get 3(7) = 21. Therefore, the correct answer is 21.

Since each member of the Spanish club raised $65 in the fundraiser, we can multiply $65 by the number of members in the club (7) to find the total amount of money raised. $65 multiplied by 7 equals $455. Therefore, the correct answer is $455.

The gallon is the appropriate unit to measure the water used to take a shower because it is a larger unit of measurement compared to pint, cup, and fluid ounce. 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 of measurement that would not accurately represent the amount of water used during a shower.

The most reasonable estimate for 315 divided by 4 is 80. This can be determined by dividing the hundreds digit of 315 (3) by 4, which gives us 0. Since 0 is less than 4, the quotient will be less than 100. Therefore, 80 is the closest and most reasonable estimate for the division.

The perimeter of a rectangle is found by adding up the lengths of all its sides. In this case, the given sides are 14 m and 20 m. Adding these two sides together gives a total of 34 m. However, since the question asks for the perimeter, we need to double this value to account for both the length and width of the rectangle. Therefore, the correct answer is 28 m.

A hexagon is a polygon with 6 vertices. It is a closed figure with six straight sides and six angles. Each vertex of a hexagon connects two adjacent sides, resulting in a total of six vertices. Therefore, a hexagon is the correct answer to the question.

The numbers are being ordered from least to greatest. In the given answer, the first number is 213,671 which is the smallest among the three numbers. The second number is 213,761 which is greater than the first number but smaller than the third number. The third number is 214,681 which is the greatest among the three numbers. Therefore, the correct order from least to greatest is 213,671, 213,761, 214,681.

A segment in a circle refers to a part of the circle that is bounded by a chord. A radius is a line segment that connects the center of the circle to any point on the circumference. Since the segment in the question is described as a radius, it implies that it connects the center of the circle to a point on the circumference. Therefore, the correct answer is radius.

The elapsed time from 7:30 A.M. to 9:12 A.M. can be found by subtracting the starting time from the ending time. In this case, 9:12 A.M. minus 7:30 A.M. equals 1 hour and 42 minutes.

To multiply 70 by 4,000 mentally, 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. Therefore, the correct answer is 280,000.

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

The product of 6 x 3 x 5 is equal to 90. Among the given options, the only product that is not equal to 90 is 6 x 18, which equals 108.

To divide 5,400 by 90 mentally, we can recognize that both numbers are divisible by 10. Dividing 5,400 by 10 gives us 540. Next, we divide 540 by 9 (since 90 divided by 10 is 9). Dividing 540 by 9 gives us 60. Therefore, the answer is 60.

To round 577,312 to the nearest thousand, we look at the digit in the hundreds place, which is 7. Since 7 is less than 5, we do not round up. Therefore, the thousands digit remains the same, and the rest of the digits are replaced with zeros. Hence, the closest thousand is 577,000.

To find the difference between 7/8 and 5/8, we subtract the numerators and keep the same denominator. So, 7/8 - 5/8 = 2/8. Simplifying this fraction gives us 1/4, which is the correct answer.

The answer 87 R2 means that when we divide 263 by 3, the quotient is 87 with a remainder of 2.

The number sentence "0.6 > 0.57" is true because 0.6 is greater than 0.57. In decimal numbers, the greater the number, the further it is to the right on the number line. So, 0.6 is to the right of 0.57, indicating that it is greater.

There are 10 millimeters in 1 centimeter. Therefore, to find the number of millimeters in 2 centimeters, we multiply 2 by 10, which equals 20.

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

The most reasonable estimate for 12 x 472 is 5,000 because when multiplying 12 by 472, we can round both numbers to the nearest hundred. 12 is close to 0 and 472 is close to 500. When we multiply these rounded numbers (0 x 500), we get 0. Therefore, the product of 12 x 472 is likely to be closer to 0 than any of the other given options.

The range is the difference between the highest and lowest values in a dataset. In this case, the highest value is 12 and the lowest value is 4. Subtracting 4 from 12 gives us a range of 8.

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

To convert feet to yards, we divide the number of feet by 3. In this case, 36 feet divided by 3 equals 12 yards.