The Diagnostic Math Test Part I

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  • 1/40 Questions
    What fraction of this set is gray? - ProProfs

    What fraction of this set is gray?

    • 1/5
    • 3/8
    • 5/8
    • 8/5
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About This Quiz

This test is to identify your current math knowledge. Do not worry if you do not know all of the answers. Please answer every question.

The Diagnostic Math Test Part I - Quiz

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  • 2. 

    Which unit would you use to measure the water used to take a shower?

    • Gallon

    • Pint

    • Cup

    • Fluid ounce

    Correct Answer
    A. Gallon
    Explanation
    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.

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  • 3. 

    Which is the most reasonable estimate for 315 divided by 4?

    • 8

    • 9

    • 80

    • 90

    Correct Answer
    A. 80
    Explanation
    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.

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  • 4. 
    Who had the most votes for class representative? - ProProfs

    Who had the most votes for class representative?

    • Barb

    • Damon

    • Desi

    • Sara

    Correct Answer
    A. Barb
    Explanation
    Barb had the most votes for class representative.

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  • 5. 
    Which dotted line is a line of symmetry? - ProProfs

    Which dotted line is a line of symmetry?

    • A

    • B

    • C

    • D

    Correct Answer
    A. D
    Explanation
    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.

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  • 6. 

    What is the value of the underlined digit?35,028

    • 30

    • 3,000

    • 30,000

    • 300,000

    Correct Answer
    A. 30,000
    Explanation
    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.

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  • 7. 

    Find 23,816 + 71,614.

    • 94,426

    • 95,403

    • 95,430

    • 95,490

    Correct Answer
    A. 95,430
    Explanation
    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.

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  • 8. 

    Which number sentence is TRUE?

    • 0.9

    • 0.6>0.57

    • 0.35>0.4

    • 0.52

    Correct Answer
    A. 0.6>0.57
    Explanation
    The number sentence 0.6>0.57 is true because 0.6 is greater than 0.57.

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  • 9. 

    What is the product of 6 and 9?

    • 3

    • 15

    • 54

    • 63

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

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  • 10. 

    Which polygon has 6 vertices?

    • Triangle

    • Quadrilateral

    • Pentagon

    • Hexagon

    Correct Answer
    A. Hexagon
    Explanation
    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.

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  • 11. 

    Find the product of 23 and 125.

    • 148

    • 625

    • 2,765

    • 2,875

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

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  • 12. 

    Each of 6 rows has the same number of seats. If there are a total of 42 seats, how many are in each row?

    • 7

    • 8

    • 36

    • 48

    Correct Answer
    A. 7
    Explanation
    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.

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  • 13. 

    Order the numbers from least to greatest.214,681      213,671       213,761

    • 214,681 213,671 213,761

    • 213, 761 213,671 214,681

    • 213,671 214,681 213,761

    • 213,671 213,761 214,681

    Correct Answer
    A. 213,671 213,761 214,681
    Explanation
    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.

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  • 14. 

    Find the missing number to complete the pattern.4, 8, 16, 32, __, 128

    • 36

    • 48

    • 64

    • 72

    Correct Answer
    A. 64
    Explanation
    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.

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  • 15. 
    Find 7/8 - 5/8. - ProProfs

    Find 7/8 - 5/8.

    • 1/4

    • 2/4

    • 1/2

    • 3/4

    Correct Answer
    A. 1/4
    Explanation
    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.

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  • 16. 

    Which number expression represents "5 more than 10?"

    • 10>5

    • 5x10

    • 10-5

    • 10+5

    Correct Answer
    A. 10+5
    Explanation
    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.

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  • 17. 
    In the circle, the segment is a: - ProProfs

    In the circle, the segment is a:

    • Radius.

    • Center.

    • Chord.

    • Diameter.

    Correct Answer
    A. Radius.
    Explanation
    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.

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  • 18. 

    Use mental math to multiply 70 x 4,000.

    • 280

    • 2,800

    • 28,000

    • 280,000

    Correct Answer
    A. 280,000
    Explanation
    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.

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  • 19. 

    Each member of the Spanish club raised $65 in a fundraiser. If there are 7 members in the club, how much money was raised?

    • $72

    • $425

    • $455

    • $485

    Correct Answer
    A. $455
    Explanation
    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.

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  • 20. 

    What is 12/22 in simplest form?

    • 6/22

    • 24/44

    • 6/11

    • 11/6

    Correct Answer
    A. 6/11
    Explanation
    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.

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  • 21. 

    Find 263 divided by 3.

    • 86 R2

    • 87

    • 87 R2

    • 88 R1

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

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  • 22. 

    Which is the most reasonable estimate for 6 x 379?

    • 180

    • 240

    • 1,800

    • 2,400

    Correct Answer
    A. 2,400
    Explanation
    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.

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  • 23. 
    What is 7/10 written as a decimal? - ProProfs

    What is 7/10 written as a decimal?

    • 0.07

    • 0.17

    • 0.7

    • 7.10

    Correct Answer
    A. 0.7
    Explanation
    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.

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  • 24. 

    36 ft = __ yd

    • 3

    • 6

    • 9

    • 12

    Correct Answer
    A. 12
    Explanation
    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.

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  • 25. 

    Carol bought 5 yards of fabric. What was the total cost of the fabric?Fabric: $2.79 a yard

    • $139.50

    • $105.50

    • $13.95

    • $10.55

    Correct Answer
    A. $13.95
    Explanation
    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.

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  • 26. 

    Find the range for the following data.Shoe Sizes:  4     5     810   12     9 6      5    11

    • 12

    • 10

    • 8

    • 6

    Correct Answer
    A. 8
    Explanation
    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.

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  • 27. 

    How many millimeters are in 2 centimeters?

    • 0.2

    • 20

    • 200

    • 2,000

    Correct Answer
    A. 20
    Explanation
    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.

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  • 28. 

    Which is the most reasonable estimate for 12 x 472?

    • 5,000

    • 8,000

    • 50,000

    • 80,000

    Correct Answer
    A. 5,000
    Explanation
    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.

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  • 29. 

    Which product is NOT the same as 6 x 3 x 5?

    • 18 x 5

    • 6 x 15

    • 30 x 3

    • 6 x 18

    Correct Answer
    A. 6 x 18
    Explanation
    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.

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  • 30. 

    Find 3,000-1,532.

    • 1,468

    • 2,468

    • 2,532

    • 4,532

    Correct Answer
    A. 1,468
    Explanation
    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.

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  • 31. 

    Evaluate the expression 3n, for n=7

    • 10

    • 28

    • 21

    • 37

    Correct Answer
    A. 21
    Explanation
    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.

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  • 32. 

    Find the elapsed time from 7:30 A.M. to 9:12 A.M.

    • 2 hours 18 minutes

    • 1 hour 42 minutes

    • 1 hour 32 minutes

    • 1 hour 12 minutes

    Correct Answer
    A. 1 hour 42 minutes
    Explanation
    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.

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  • 33. 

    Round 577,312 to the nearest thousand.

    • 577,000

    • 577,300

    • 578,000

    • 580,000

    Correct Answer
    A. 577,000
    Explanation
    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.

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  • 34. 

    Write 3 1/8 as an improper fraction.

    • 3/8

    • 4/8

    • 25/8

    • 25/3

    Correct Answer
    A. 25/8
    Explanation
    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.

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  • 35. 

    Which number is divisible by 3?

    • 109

    • 132

    • 179

    • 253

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

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  • 36. 

    Use mental math to divide 5,400 divided by 90.

    • 6

    • 60

    • 600

    • 6,000

    Correct Answer
    A. 60
    Explanation
    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.

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  • 37. 
    Find the perimeter of the rectangle. - ProProfs

    Find the perimeter of the rectangle.

    • 14 m

    • 20 m

    • 28 m

    • 48 m

    Correct Answer
    A. 28 m
    Explanation
    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.

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  • 38. 
    Which of the following best describes the probability of spinning a 5 when you spin this spinner once? - ProProfs

    Which of the following best describes the probability of spinning a 5 when you spin this spinner once?

    • Likely

    • Unlikely

    • Impossible

    • Certain

    Correct Answer
    A. Impossible
    Explanation
    The probability of spinning a 5 when spinning the spinner once is impossible because the options provided do not include a 5.

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  • 39. 
    Find the area of the rectangle. - ProProfs

    Find the area of the rectangle.

    • 48 square meters

    • 36 square meters

    • 28 square meters

    • 14 square meters

    Correct Answer
    A. 48 square meters
    Explanation
    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.

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  • 40. 
    Round 21.83 to the nearest tenth. - ProProfs

    Round 21.83 to the nearest tenth.

    • 20

    • 21.8

    • 21.9

    • 22

    Correct Answer
    A. 21.8
    Explanation
    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.

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Aug 29, 2017
    Quiz Created by
    Smeeuwse
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