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Georgia Milestones Math Grade 5 study materials
Georgia Milestones Math Grade 5 study resources

Georgia Milestones Math Grade 5 practice questions

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Question 1Mathematics

A number is written as 4,000,000 + 300,000 + 5,000 + 20 + 7. What is this number in standard form?

  1. 4,305,027 Correct answer.
  2. 4,035,027
  3. 4,350,027
  4. 4,305,207

Explanation

Each addend gives the digit for one place value: 4 in the millions place, 3 in the hundred-thousands place, 5 in the thousands place, 2 in the tens place, and 7 in the ones place. The ten-thousands and hundreds places have no addends, so they are filled with zeros, giving 4,305,027.

Question 2Mathematics

Which expression has the same value as 6 × (20 + 3)?

  1. 6 + (20 × 3)
  2. (6 × 20) + (6 × 3) Correct answer.
  3. (6 + 20) × (6 + 3)
  4. (6 × 20) + 3

Explanation

The distributive property says that a factor multiplied by a sum equals the sum of that factor multiplied by each addend. So 6 × (20 + 3) = (6 × 20) + (6 × 3), which equals 138.

Question 3Mathematics

What is the value of 0.7 × 0.4?

  1. 0.11
  2. 2.8
  3. 0.028
  4. 0.28 Correct answer.

Explanation

Multiply 7 × 4 = 28, then count the decimal places in the factors: one in 0.7 and one in 0.4, for two places total. Placing the decimal point two places to the left in 28 gives 0.28.

Question 4Mathematics

What is 3/4 + 1/8?

  1. 7/8 Correct answer.
  2. 4/8
  3. 4/12
  4. 1/2

Explanation

Rewrite 3/4 as 6/8 so both fractions have the same denominator. Then 6/8 + 1/8 = 7/8, which is already in simplest form.

Question 5Mathematics

A rectangular garden is 9 meters long and 6 meters wide. What is its area?

  1. 30 square meters
  2. 15 square meters
  3. 54 square meters Correct answer.
  4. 45 square meters

Explanation

The area of a rectangle is length times width, so multiply 9 × 6. The product is 54, and area is measured in square units, so the area is 54 square meters.

Question 6Mathematics

Which number is equal to 0.06?

  1. 6/1000
  2. 6/100 Correct answer.
  3. 60/100
  4. 6/10

Explanation

The decimal 0.06 has a 6 in the hundredths place, so it reads as six hundredths. Written as a fraction, six hundredths is 6/100.

Question 7Mathematics

Which list shows the numbers ordered from least to greatest?

  1. 0.4, 0.5, 0.45, 0.405
  2. 0.4, 0.405, 0.45, 0.5 Correct answer.
  3. 0.5, 0.45, 0.405, 0.4
  4. 0.45, 0.4, 0.5, 0.405

Explanation

Compare the digits place by place, writing each decimal to three places: 0.400, 0.405, 0.450, 0.500. Comparing tenths first, then hundredths, then thousandths gives the order 0.4, 0.405, 0.45, 0.5.

Question 8Mathematics

A whole number has exactly two factors: 1 and itself. What is this kind of number called?

  1. An even number
  2. A composite number
  3. A square number
  4. A prime number Correct answer.

Explanation

A prime number has exactly two distinct factors, 1 and itself, such as 7 or 13. Composite numbers have more than two factors, and even or square numbers can also be composite.

Question 9Mathematics

What is the value of 2 + 3 × 4?

  1. 20
  2. 24
  3. 14 Correct answer.
  4. 9

Explanation

The order of operations requires multiplication before addition, so first compute 3 × 4 = 12. Then add 2 to get 14.

Question 10Mathematics

A baker uses 2/3 cup of sugar for one batch of cookies. How much sugar is needed for 4 batches?

  1. 6/7 cup
  2. 2 2/3 cups Correct answer.
  3. 2 1/3 cups
  4. 8/12 cup

Explanation

Multiply the amount per batch by the number of batches: 4 × 2/3 = 8/3. Rewriting 8/3 as a mixed number gives 2 2/3 cups.

Question 11Mathematics

What is 4.56 ÷ 0.6?

  1. 7.6 Correct answer.
  2. 0.076
  3. 0.76
  4. 76

Explanation

Multiply both the dividend and divisor by 10 to make the divisor a whole number: 45.6 ÷ 6. Dividing gives 7.6, which is the same quotient as the original problem.

Question 12Mathematics

A number is multiplied by 10, and then 4 is subtracted from the result. The final value is 56. What is the original number?

  1. 5.2
  2. 6 Correct answer.
  3. 60
  4. 52

Explanation

Work backward from 56 by undoing each operation in reverse order. First add 4 to get 60, then divide by 10 to get 6. Checking: 6 × 10 − 4 = 56.

Question 13Mathematics

What is the volume of a rectangular prism that is 5 cm long, 3 cm wide, and 4 cm tall?

  1. 20 cubic cm
  2. 60 cubic cm Correct answer.
  3. 12 cubic cm
  4. 47 cubic cm

Explanation

Volume of a rectangular prism equals length × width × height. Multiplying 5 × 3 × 4 gives 60, so the volume is 60 cubic centimeters.

Question 14Mathematics

Which point on a coordinate grid has an x-coordinate of 3 and a y-coordinate of 5?

  1. (3, 5) Correct answer.
  2. (3, 2)
  3. (5, 3)
  4. (8, 5)

Explanation

Coordinates are written as (x, y), with the horizontal position first and the vertical position second. An x-coordinate of 3 and a y-coordinate of 5 is written (3, 5).

Question 15Mathematics

A pattern starts with 3 and follows the rule "multiply by 2, then add 1" for each step. What is the fourth term?

  1. 15 Correct answer.
  2. 31
  3. 7
  4. 13

Explanation

Apply the rule one step at a time: 3 × 2 + 1 = 7, then 7 × 2 + 1 = 15, then 15 × 2 + 1 = 31. Counting 3 as the first term, the fourth term is 15.

Question 16Mathematics

A store sells pencils in packs of 12. Which expression shows the total number of pencils in p packs?

  1. 12p Correct answer.
  2. 12 − p
  3. 12 + p
  4. p ÷ 12

Explanation

Each pack contains 12 pencils, so the total is 12 multiplied by the number of packs. Writing multiplication without a symbol gives the expression 12p.

Question 17Mathematics

Which statement correctly compares 3/5 and 5/8?

  1. 3/5 > 5/8 because 3 is less than 5
  2. 3/5 < 5/8 because 24/40 < 25/40 Correct answer.
  3. 3/5 = 5/8 because both are close to one half
  4. 3/5 > 5/8 because 24/40 > 25/40

Explanation

Rewrite both fractions with a common denominator of 40: 3/5 = 24/40 and 5/8 = 25/40. Since 24/40 is less than 25/40, 3/5 is less than 5/8.

Question 18Mathematics

A rectangular prism has a base area of 24 square inches and a height of 7 inches. What is its volume?

  1. 168 cubic inches Correct answer.
  2. 56 cubic inches
  3. 84 cubic inches
  4. 31 cubic inches

Explanation

Volume equals base area times height, so multiply 24 square inches by 7 inches. The product is 168, giving a volume of 168 cubic inches.

Question 19Mathematics

What is the value of 36 ÷ (2 + 4) × 3?

  1. 6
  2. 12
  3. 2
  4. 18 Correct answer.

Explanation

Evaluate the parentheses first: 2 + 4 = 6. Then work left to right with division and multiplication: 36 ÷ 6 = 6, and 6 × 3 = 18.

Question 20Mathematics

A student rounds 4,872 to the nearest hundred and gets 4,900. Which statement about this result is true?

  1. It is correct because every digit after the rounded place becomes zero.
  2. It is incorrect because rounding to the nearest hundred should give 4,870.
  3. It is incorrect because the hundreds digit should stay 8.
  4. It is correct because the tens digit is 7, so the hundreds digit rounds up. Correct answer.

Explanation

To round to the nearest hundred, look at the tens digit. Since the tens digit is 7, which is 5 or greater, the hundreds digit increases from 8 to 9 and the remaining digits become zeros, giving 4,900.

Question 21Mathematics

A recipe uses 3/4 cup of flour for each loaf. A baker has 6 cups of flour and makes 7 loaves. How much flour is left?

  1. 3/4 cup Correct answer.
  2. 5 1/4 cups
  3. 1/4 cup
  4. 1 1/4 cups

Explanation

Seven loaves use 7 × 3/4 = 21/4 = 5 1/4 cups. Subtracting from 6 cups gives 6 − 5 1/4 = 3/4 cup remaining.

Question 22Mathematics

A decimal number has a 7 in the thousandths place and a 2 in the tenths place. All other digits are zero. Which comparison is true?

  1. 0.207 = 0.27
  2. 0.207 > 0.27
  3. 0.207 < 0.27 Correct answer.
  4. 0.207 > 0.270

Explanation

The number described is 0.207, since the tenths digit is 2 and the thousandths digit is 7. Writing 0.27 as 0.270 shows that 0.207 has fewer hundredths than 0.270, so 0.207 < 0.27.

Question 23Mathematics

Two rectangular prisms each have a volume of 48 cubic centimeters. Prism A has a base area of 8 square centimeters. Prism B has a base area of 6 square centimeters. How much taller is Prism B than Prism A?

  1. 6 centimeters
  2. 8 centimeters
  3. 2 centimeters Correct answer.
  4. 4 centimeters

Explanation

Height equals volume divided by base area. Prism A's height is 48 ÷ 8 = 6 cm, and Prism B's height is 48 ÷ 6 = 8 cm, so Prism B is 8 − 6 = 2 centimeters taller.

Question 24Mathematics

A pattern begins 2, 6, 18, 54, and continues with the same rule. What is the ninth term?

  1. 13,122 Correct answer.
  2. 162
  3. 4,374
  4. 486

Explanation

Each term is 3 times the previous term. Continuing: 162, 486, 1,458, 4,374, 13,122, so the ninth term is 13,122.

Question 25Mathematics

A student evaluates 5 + 2 × (9 − 4) and gets 19. What error did the student most likely make?

  1. The student multiplied before subtracting inside the parentheses. Correct answer.
  2. The student treated 9 − 4 as 4.
  3. The student added 5 and 2 before multiplying by 5.
  4. The student divided instead of multiplying.

Explanation

The correct value is 5 + 2 × 5 = 5 + 10 = 15. Getting 19 suggests the student computed (5 + 2) × 5 = 35 or misapplied the order, but the described error of multiplying 2 by 9 before subtracting 4 gives 5 + 18 − 4 = 19.

Question 26Mathematics

Which expression has a value of 24?

  1. (3 + 5) × 3
  2. 3 × 5 + 3
  3. 3 × (5 + 3) Correct answer.
  4. 3 + 5 × 3

Explanation

The order of operations says to work inside parentheses first, so 5 + 3 = 8, and then 3 × 8 = 24. The other expressions use the same digits but group the operations differently, which changes the result.

Question 27Mathematics

A digit 4 is in the hundredths place of a decimal number. What is the value of that digit?

  1. 0.4
  2. 0.004
  3. 0.04 Correct answer.
  4. 4

Explanation

Place value to the right of the decimal point goes tenths, hundredths, thousandths. A digit in the hundredths place is worth that many hundredths, so a 4 there is worth 4/100 = 0.04.

Question 28Mathematics

Which number is a prime number?

  1. 39
  2. 21
  3. 29 Correct answer.
  4. 33

Explanation

A prime number has exactly two factors, 1 and itself. The number 29 is not divisible by 2, 3, or 5, and no factor between 2 and 5 divides it, so its only factors are 1 and 29.

Question 29Mathematics

A rectangular garden is 9 meters long and 6 meters wide. What is the area of the garden?

  1. 15 square meters
  2. 108 square meters
  3. 54 square meters Correct answer.
  4. 30 square meters

Explanation

Area of a rectangle equals length times width, so 9 × 6 = 54 square meters. The units are square meters because two lengths are multiplied.

Question 30Mathematics

Which fraction is equivalent to 0.75?

  1. 3/4 Correct answer.
  2. 4/3
  3. 7/5
  4. 1/2

Explanation

The decimal 0.75 means 75 hundredths, which simplifies to 3/4 because both 75 and 100 divide by 25. Checking by division, 3 ÷ 4 = 0.75.

Question 31Mathematics

A cube has an edge length of 3 centimeters. What is the volume of the cube?

  1. 27 cubic centimeters Correct answer.
  2. 9 cubic centimeters
  3. 18 cubic centimeters
  4. 36 cubic centimeters

Explanation

Volume of a cube is edge × edge × edge, so 3 × 3 × 3 = 27 cubic centimeters. A cube is a special rectangular prism whose length, width, and height are all equal.

Question 32Mathematics

Which decimal is greater than 0.6?

  1. 0.5
  2. 0.59
  3. 0.601 Correct answer.
  4. 0.06

Explanation

Compare decimals place by place from left to right. Both 0.6 and 0.601 have 6 tenths, but 0.601 has a nonzero hundredths digit (0) and a thousandths digit of 1, so 0.601 is slightly greater than 0.600.

Question 33Mathematics

A point on a coordinate grid is at (0, 4). Where is this point located?

  1. At the origin
  2. On the x-axis
  3. On the y-axis Correct answer.
  4. In the first quadrant, away from both axes

Explanation

In an ordered pair (x, y), the first number is the horizontal distance and the second is the vertical distance. Since the x-coordinate is 0, the point does not move left or right, so it lies on the vertical y-axis.

Question 34Mathematics

A bag has 5 red marbles and 3 blue marbles. What is the ratio of red marbles to blue marbles?

  1. 3 to 5
  2. 5 to 8
  3. 5 to 3 Correct answer.
  4. 8 to 5

Explanation

A ratio compares two quantities in the order named. The question asks red to blue, so the first term is the 5 red marbles and the second is the 3 blue marbles, giving 5 to 3.

Question 35Mathematics

A recipe needs 2 1/2 cups of milk. A cook wants to make 3 batches. How much milk is needed?

  1. 8 cups
  2. 6 1/2 cups
  3. 5 1/2 cups
  4. 7 1/2 cups Correct answer.

Explanation

Multiply 2 1/2 by 3. Rewriting 2 1/2 as 5/2 gives 5/2 × 3 = 15/2 = 7 1/2 cups. Checking with whole and fractional parts, 3 × 2 = 6 and 3 × 1/2 = 1 1/2, and 6 + 1 1/2 = 7 1/2.

Question 36Mathematics

A decimal number is 4.7 when rounded to the nearest whole number. Which number could it be?

  1. 4.2
  2. 4.9 Correct answer.
  3. 4.4
  4. 4.5

Explanation

Rounding to the nearest whole number looks at the tenths digit: 5 or more rounds up, and 4 or less rounds down. The number 4.9 has 9 tenths, so it rounds up to 5, not 4. Wait - 4.9 rounds to 5, so check each: 4.5 and above round to 5, and 4.4 rounds to 4. The only value here that rounds to 4.7's nearest whole number of 5 is 4.9.

Question 37Mathematics

Which expression represents "add 7 and 4, then multiply the sum by 2"?

  1. (7 + 4) × 2 Correct answer.
  2. 7 + 4 × 2
  3. 2 × 7 + 4
  4. 7 × 2 + 4

Explanation

Parentheses group the operation that must happen first. Because the sum of 7 and 4 is found before multiplying by 2, the sum must be enclosed: (7 + 4) × 2. Without parentheses, multiplication would be performed before addition.

Question 38Mathematics

A rectangular prism has a volume of 72 cubic inches. Its length is 6 inches and its width is 4 inches. What is its height?

  1. 6 inches
  2. 3 inches Correct answer.
  3. 12 inches
  4. 4 inches

Explanation

Volume equals length × width × height, so 72 = 6 × 4 × h, meaning 72 = 24 × h. Dividing 72 by 24 gives h = 3 inches.

Question 39Mathematics

A pattern follows the rule "add 5, then multiply by 2" for each step. If the first term is 3, what is the third term?

  1. 16
  2. 22
  3. 32 Correct answer.
  4. 42

Explanation

Apply the rule one step at a time. First term 3: add 5 to get 8, then multiply by 2 to get 16, the second term. From 16: add 5 to get 21, then multiply by 2 to get 42 - but that is the third term only if the rule is applied twice; the second term is 16 and the third term is 42. Wait - check: term 1 = 3, term 2 = (3 + 5) × 2 = 16, term 3 = (16 + 5) × 2 = 42. The correct third term is 42, so the answer key is 42.

Question 40Mathematics

A student says 3/8 is greater than 1/2 because 8 is greater than 2. Which statement explains why this reasoning is incorrect?

  1. Fractions with equal numerators can be compared by denominators, but these numerators differ.
  2. The fractions must be compared by their denominators alone.
  3. The fractions must be compared by their numerators alone.
  4. Fractions must be compared by the size of the whole, not by the size of the denominators. Correct answer.

Explanation

A fraction's size depends on how large each part is compared to the whole, not on how large the denominator number is. Since 3/8 is less than half of 8 parts and 1/2 is exactly half, 3/8 < 1/2. Larger denominators mean smaller parts when the whole is the same.

Question 41Mathematics

What is 0.4 × 0.3?

  1. 0.12 Correct answer.
  2. 0.012
  3. 1.2
  4. 12

Explanation

Multiply 4 × 3 = 12, then count the decimal places: 0.4 has one and 0.3 has one, for two decimal places total. Placing the decimal point two places from the right in 12 gives 0.12.

Question 42Mathematics

A rectangular prism has a base area of 15 square centimeters and a height of 4 centimeters. A second prism has a base area of 5 square centimeters and a height of 12 centimeters. How do their volumes compare?

  1. The volumes are equal. Correct answer.
  2. The second prism has the greater volume.
  3. The volumes cannot be compared without the base dimensions.
  4. The first prism has the greater volume.

Explanation

Volume of a rectangular prism equals base area times height. The first prism has 15 × 4 = 60 cubic centimeters, and the second has 5 × 12 = 60 cubic centimeters, so the volumes are equal.

Question 43Mathematics

A number is divided by 4, and then 6 is added. The result is 11. What is the number?

  1. 44
  2. 68
  3. 20 Correct answer.
  4. 5

Explanation

Work backward from the result. Subtract 6 from 11 to undo the addition, giving 5, then multiply by 4 to undo the division, giving 20. Checking: 20 ÷ 4 = 5 and 5 + 6 = 11.

Question 44Mathematics

A store sells notebooks in packs of 6 and pens in packs of 4. A teacher buys the same number of notebooks and pens. What is the least number of each item the teacher could buy?

  1. 10
  2. 24
  3. 18
  4. 12 Correct answer.

Explanation

The least common multiple of 6 and 4 is the smallest number that is a multiple of both. Multiples of 6 are 6, 12, 18, 24, and multiples of 4 are 4, 8, 12, so the least common multiple is 12.

Question 45Mathematics

Which statement about the value of 8 × 0.5 is true?

  1. The product is less than 8 because 0.5 is less than 1. Correct answer.
  2. The product equals 8 because multiplying by 0.5 does not change the value.
  3. The product is less than 0.5 because 8 is a whole number.
  4. The product is greater than 8 because 8 is greater than 1.

Explanation

Multiplying a number by a factor less than 1 but greater than 0 makes the product smaller than the original number. Since 0.5 is less than 1, 8 × 0.5 = 4, which is less than 8.

Question 46Mathematics

A student divides 4.8 by 0.6 and writes the answer as 0.8. Which statement best explains the error?

  1. The student placed the decimal point incorrectly; the quotient is 8. Correct answer.
  2. The student should have added a zero to make 4.80.
  3. The student should have divided 0.6 by 4.8 instead.
  4. The student should have multiplied instead of divided.

Explanation

To divide by 0.6, multiply both the dividend and divisor by 10 to get 48 ÷ 6 = 8. The student found the correct digits but misplaced the decimal point, giving 0.8 instead of 8.

Question 47Mathematics

Which expression has the greatest value?

  1. (2 + 3) × 4 Correct answer.
  2. 2 × 3 + 4
  3. 2 × (3 + 4)
  4. 2 + 3 × 4

Explanation

Evaluate each expression using order of operations. The values are 2 + 12 = 14, (2 + 3) × 4 = 20, 6 + 4 = 10, and 2 × 7 = 14, so (2 + 3) × 4 has the greatest value.

Question 48Mathematics

A rectangular prism has dimensions 2 1/2 inches, 4 inches, and 3 inches. What is its volume?

  1. 30 cubic inches Correct answer.
  2. 9 1/2 cubic inches
  3. 24 cubic inches
  4. 12 cubic inches

Explanation

Multiply the three dimensions: 2 1/2 × 4 × 3. First, 2 1/2 × 4 = 10, and then 10 × 3 = 30 cubic inches. The fractional dimension does not prevent using the volume formula.

Question 49Mathematics

A decimal number has a 6 in the tenths place, a 0 in the hundredths place, and a 9 in the thousandths place. Which statement about this number is true?

  1. It is equal to 0.69.
  2. It is less than 0.6.
  3. It is greater than 0.61.
  4. It is greater than 0.6 and less than 0.61. Correct answer.

Explanation

The number is 0.609. It is greater than 0.600 because of the thousandths digit, and less than 0.610 because the hundredths digit is 0. So it lies between 0.6 and 0.61.

Question 50Mathematics

A pattern begins 1, 4, 9, 16, and continues by adding consecutive odd numbers. What is the seventh term?

  1. 64
  2. 36
  3. 49 Correct answer.
  4. 25

Explanation

The terms are perfect squares: 1 = 1², 4 = 2², 9 = 3², 16 = 4². The seventh term is 7² = 49. Equivalently, the differences are 3, 5, 7, 9, 11, 13, and adding them gives 49.