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GA Milestones Math Grade 4 study materials
GA Milestones Math Grade 4 study resources

GA Milestones Math Grade 4 practice questions

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Question 1Whole numbers, operations and elementary patterns

What is the value of the digit 7 in the number 374,256?

  1. 7,000
  2. 70,000 Correct answer.
  3. 700
  4. 700,000

Explanation

In 374,256 the 7 is in the ten-thousands place, so its value is 7 times 10,000, which equals 70,000.

Question 2Whole numbers, operations and elementary patterns

Which number is one thousand more than 56,489?

  1. 56,589
  2. 57,489 Correct answer.
  3. 66,489
  4. 56,499

Explanation

Adding one thousand increases the thousands digit by 1. The thousands digit 6 becomes 7, giving 57,489.

Question 3Whole numbers, operations and elementary patterns

Round 48,372 to the nearest thousand.

  1. 48,000 Correct answer.
  2. 49,000
  3. 48,400
  4. 50,000

Explanation

The hundreds digit is 3, which is less than 5, so the thousands digit stays the same and digits to the right become zero, giving 48,000.

Question 4Whole numbers, operations and elementary patterns

Which symbol makes this comparison true: 25,604 ___ 25,640?

  1. < Correct answer.
  2. >
  3. =
  4. none of these

Explanation

Both numbers match through the hundreds place. In the tens place, 0 is less than 4, so 25,604 is less than 25,640.

Question 5Whole numbers, operations and elementary patterns

What is 4,000 + 600 + 30 + 5 written in standard form?

  1. 4,635 Correct answer.
  2. 4,365
  3. 46,305
  4. 4,653

Explanation

Combining the values 4,000, 600, 30, and 5 gives 4,635, with 4 thousands, 6 hundreds, 3 tens, and 5 ones.

Question 6Fractions and decimal notation

Which fraction is equivalent to 1/2?

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

Explanation

Multiplying the numerator and denominator of 1/2 by 4 gives 4/8. Since 4 is half of 8, 4/8 equals 1/2.

Question 7Fractions and decimal notation

Which symbol makes the comparison true: 3/4 ___ 2/3?

  1. > Correct answer.
  2. <
  3. =
  4. cannot be compared

Explanation

Using a common denominator of 12, 3/4 equals 9/12 and 2/3 equals 8/12. Since 9/12 is greater than 8/12, 3/4 is greater than 2/3.

Question 8Fractions and decimal notation

What is 3/8 + 2/8?

  1. 5/8 Correct answer.
  2. 5/16
  3. 6/8
  4. 1/8

Explanation

When denominators are the same, add the numerators and keep the denominator: 3 + 2 = 5, so the sum is 5/8.

Question 9Fractions and decimal notation

What is 7/10 minus 3/10?

  1. 4/10 Correct answer.
  2. 4/20
  3. 10/10
  4. 4/0

Explanation

With the same denominator, subtract the numerators and keep the denominator: 7 - 3 = 4, giving 4/10.

Question 10Fractions and decimal notation

Which sum shows a correct way to decompose the fraction 5/6?

  1. 3/6 + 2/6 Correct answer.
  2. 2/6 + 2/6
  3. 5/6 + 1/6
  4. 1/3 + 1/3

Explanation

Decomposing means breaking a fraction into parts that add to the same value. 3/6 + 2/6 equals 5/6, which is correct.

Question 11Measurement, shapes and data interpretation

An angle measures 35 degrees. How is this angle classified?

  1. Acute Correct answer.
  2. Right
  3. Obtuse
  4. Straight

Explanation

An acute angle measures less than 90 degrees. Since 35 degrees is less than 90 degrees, it is acute.

Question 12Measurement, shapes and data interpretation

A 90-degree angle is split into two smaller angles. One angle measures 55 degrees. What is the measure of the other angle?

  1. 35 degrees Correct answer.
  2. 45 degrees
  3. 145 degrees
  4. 55 degrees

Explanation

The two angles add up to 90 degrees. Subtracting 90 - 55 gives 35 degrees for the other angle.

Question 13Measurement, shapes and data interpretation

Which pair of lines never meet, no matter how far they are extended?

  1. Parallel lines Correct answer.
  2. Perpendicular lines
  3. Intersecting lines
  4. Curved lines

Explanation

Parallel lines stay the same distance apart and never meet, no matter how far they are extended.

Question 14Measurement, shapes and data interpretation

How many lines of symmetry does a square have?

  1. 4 Correct answer.
  2. 2
  3. 1
  4. 0

Explanation

A square has 4 lines of symmetry: two diagonals and two lines through the midpoints of opposite sides.

Question 15Whole numbers, operations and elementary patterns

What is the sum of 3,847 and 5,296?

  1. 9,143 Correct answer.
  2. 8,943
  3. 9,043
  4. 8,143

Explanation

Adding 3,847 + 5,296: 7 + 6 = 13 (write 3, carry 1), 4 + 9 + 1 = 14 (write 4, carry 1), 8 + 2 + 1 = 11 (write 1, carry 1), 3 + 5 + 1 = 9. The sum is 9,143.

Question 16Whole numbers, operations and elementary patterns

What is the product of 36 and 24?

  1. 864 Correct answer.
  2. 720
  3. 844
  4. 924

Explanation

Multiplying 36 by 24: 36 times 20 is 720, and 36 times 4 is 144. Adding 720 + 144 gives 864.

Question 17Whole numbers, operations and elementary patterns

A school orders 8 boxes of pencils with 145 pencils in each box. How many pencils are ordered in all?

  1. 1,160 Correct answer.
  2. 1,060
  3. 1,150
  4. 1,200

Explanation

Multiplying 145 by 8: 8 times 5 is 40, 8 times 40 is 320, and 8 times 100 is 800. Adding gives 1,160 pencils.

Question 18Whole numbers, operations and elementary patterns

What is 426 divided by 6?

  1. 71 Correct answer.
  2. 70
  3. 72
  4. 61

Explanation

Dividing 426 by 6: 6 goes into 42 seven times (42), bring down 6, and 6 goes into 6 once. The quotient is 71 with no remainder.

Question 19Whole numbers, operations and elementary patterns

There are 235 students going on a field trip. Each bus holds 40 students. What is the fewest number of buses needed?

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

Explanation

Dividing 235 by 40 gives 5 with a remainder of 35. Because 35 students still need a ride, an extra bus is required, so 6 buses are needed.

Question 20Whole numbers, operations and elementary patterns

Maria has 6 times as many stickers as Jon. Jon has 9 stickers. How many stickers does Maria have?

  1. 54 Correct answer.
  2. 15
  3. 45
  4. 63

Explanation

Six times as many means multiply: 6 times 9 equals 54. Maria has 54 stickers.

Question 21Whole numbers, operations and elementary patterns

Which number sentence shows that 48 is 8 times as many as 6?

  1. 48 = 8 x 6 Correct answer.
  2. 48 = 8 + 6
  3. 48 = 8 - 6
  4. 6 = 48 x 8

Explanation

A multiplicative comparison 'times as many' is written as multiplication. 48 = 8 x 6 shows 48 is 8 times as many as 6.

Question 22Whole numbers, operations and elementary patterns

Which value of n makes the equation 7 x n = 56 true?

  1. 8 Correct answer.
  2. 7
  3. 9
  4. 49

Explanation

To find the unknown factor, divide 56 by 7, which gives 8. So 7 x 8 = 56 is true.

Question 23Whole numbers, operations and elementary patterns

Which list shows all the factor pairs of 24?

  1. 1 and 24, 2 and 12, 3 and 8, 4 and 6 Correct answer.
  2. 1 and 24, 2 and 12, 4 and 6
  3. 2 and 12, 3 and 8, 4 and 6
  4. 1 and 24, 3 and 8, 5 and 6

Explanation

The factor pairs of 24 are 1x24, 2x12, 3x8, and 4x6. All four pairs multiply to 24.

Question 24Whole numbers, operations and elementary patterns

Is 17 a prime number or a composite number?

  1. Prime, because its only factors are 1 and 17 Correct answer.
  2. Composite, because it has more than two factors
  3. Prime, because it is an odd number
  4. Composite, because it is greater than 10

Explanation

A prime number has exactly two factors: 1 and itself. The only factors of 17 are 1 and 17, so 17 is prime.

Question 25Whole numbers, operations and elementary patterns

Which number is a multiple of 7?

  1. 42 Correct answer.
  2. 50
  3. 27
  4. 32

Explanation

Multiples of 7 are 7, 14, 21, 28, 35, 42, and so on. Since 7 times 6 equals 42, 42 is a multiple of 7.

Question 26Whole numbers, operations and elementary patterns

A pattern follows the rule 'add 6.' If the first term is 4, what is the fifth term? The pattern is 4, 10, 16, 22, ...

  1. 28 Correct answer.
  2. 26
  3. 30
  4. 24

Explanation

Following the rule add 6: 4, 10, 16, 22, 28. The fifth term is 28.

Question 27Whole numbers, operations and elementary patterns

In the pattern 3, 6, 12, 24, 48, the numbers follow which rule?

  1. Multiply the previous number by 2 Correct answer.
  2. Add 3 to the previous number
  3. Add 6 to the previous number
  4. Multiply the previous number by 3

Explanation

Each term is double the one before it: 3x2=6, 6x2=12, 12x2=24, 24x2=48. The rule is multiply by 2.

Question 28Whole numbers, operations and elementary patterns

What is 5,280 plus 1,946?

  1. 7,226 Correct answer.
  2. 6,226
  3. 7,126
  4. 7,236

Explanation

Adding 5,280 + 1,946: 0 + 6 = 6, 8 + 4 = 12 (write 2, carry 1), 2 + 9 + 1 = 12 (write 2, carry 1), 5 + 1 + 1 = 7. The sum is 7,226.

Question 29Whole numbers, operations and elementary patterns

A factory makes 308 toys each day. How many toys does it make in 5 days?

  1. 1,540 Correct answer.
  2. 1,500
  3. 1,545
  4. 1,054

Explanation

Multiplying 308 by 5: 5 times 8 is 40, 5 times 0 is 0 plus the carried 4, and 5 times 300 is 1,500. The total is 1,540.

Question 30Whole numbers, operations and elementary patterns

What is 504 divided by 7?

  1. 72 Correct answer.
  2. 71
  3. 82
  4. 62

Explanation

Dividing 504 by 7: 7 goes into 50 seven times (49), bring down 4 to make 14, and 7 goes into 14 twice. The quotient is 72.

Question 31Whole numbers, operations and elementary patterns

Which expression shows the best estimate of 612 x 4 using rounding?

  1. 600 x 4 Correct answer.
  2. 700 x 4
  3. 600 x 5
  4. 610 x 5

Explanation

Rounding 612 to the nearest hundred gives 600, so 600 x 4 is the best estimate of 612 x 4.

Question 32Whole numbers, operations and elementary patterns

What is the value of the 9 in 90,532 compared to the value of the 9 in 9,053?

  1. It is 10 times as great Correct answer.
  2. It is 100 times as great
  3. It is the same
  4. It is 1/10 as great

Explanation

In 90,532 the 9 is in the ten-thousands place (90,000), and in 9,053 the 9 is in the thousands place (9,000). 90,000 is 10 times 9,000.

Question 33Whole numbers, operations and elementary patterns

What is 63 x 47?

  1. 2,961 Correct answer.
  2. 2,861
  3. 2,901
  4. 3,061

Explanation

Multiplying 63 by 47: 63 times 40 is 2,520, and 63 times 7 is 441. Adding 2,520 + 441 gives 2,961.

Question 34Whole numbers, operations and elementary patterns

A baker divides 856 cookies equally into 8 boxes. How many cookies are in each box?

  1. 107 Correct answer.
  2. 17
  3. 170
  4. 108

Explanation

Dividing 856 by 8: 8 goes into 8 once, into 5 zero times (write 0), and into 56 seven times. The quotient is 107.

Question 35Whole numbers, operations and elementary patterns

Which number rounds to 5,000 when rounded to the nearest thousand?

  1. 4,612 Correct answer.
  2. 5,500
  3. 4,300
  4. 5,501

Explanation

Numbers from 4,500 to 5,499 round to 5,000. Since 4,612 is in this range, it rounds to 5,000.

Question 36Whole numbers, operations and elementary patterns

Which number is composite?

  1. 21 Correct answer.
  2. 19
  3. 23
  4. 11

Explanation

A composite number has more than two factors. 21 has factors 1, 3, 7, and 21, so it is composite.

Question 37Whole numbers, operations and elementary patterns

What is the missing number in the pattern: 100, 92, 84, ___, 68?

  1. 76 Correct answer.
  2. 78
  3. 74
  4. 80

Explanation

Each term decreases by 8. After 84, subtract 8 to get 76, and 76 minus 8 is 68, which matches.

Question 38Whole numbers, operations and elementary patterns

A store has 6 shelves with 48 books on each shelf. A second store has 7 shelves with 39 books on each shelf. Which store has more books, and by how many?

  1. The first store, by 15 books Correct answer.
  2. The second store, by 15 books
  3. The first store, by 9 books
  4. They have the same number

Explanation

First store: 6 times 48 equals 288. Second store: 7 times 39 equals 273. The first store has 288 - 273 = 15 more books.

Question 39Whole numbers, operations and elementary patterns

Which expression equals 8 times as many as 7?

  1. 8 x 7 Correct answer.
  2. 8 + 7
  3. 7 - 8
  4. 8 + 8

Explanation

The phrase 'times as many' means multiplication, so 8 times as many as 7 is written as 8 x 7.

Question 40Whole numbers, operations and elementary patterns

Which number is both a multiple of 4 and a multiple of 6?

  1. 12 Correct answer.
  2. 8
  3. 9
  4. 18

Explanation

Multiples of 4 are 4, 8, 12, 16... and multiples of 6 are 6, 12, 18... The number 12 appears in both lists.

Question 41Whole numbers, operations and elementary patterns

A number pattern starts at 5 and follows the rule 'multiply by 2, then add 1.' What are the first three terms?

  1. 5, 11, 23 Correct answer.
  2. 5, 10, 20
  3. 5, 11, 22
  4. 5, 6, 7

Explanation

Start at 5. Then 5 x 2 + 1 = 11, and 11 x 2 + 1 = 23. The first three terms are 5, 11, 23.

Question 42Whole numbers, operations and elementary patterns

What is 7 x 800?

  1. 5,600 Correct answer.
  2. 560
  3. 56,000
  4. 1,500

Explanation

Multiply 7 by 8 to get 56, then attach the two zeros from 800: 7 times 800 equals 5,600.

Question 43Whole numbers, operations and elementary patterns

A theater has 24 rows with 18 seats in each row. How many seats are in the theater?

  1. 432 Correct answer.
  2. 422
  3. 324
  4. 144

Explanation

Multiply 24 by 18: 24 times 10 is 240, and 24 times 8 is 192. Adding 240 + 192 gives 432 seats.

Question 44Whole numbers, operations and elementary patterns

Which value of m makes 36 divided by m equal to 9?

  1. 4 Correct answer.
  2. 9
  3. 6
  4. 3

Explanation

Since 36 divided by m equals 9, m equals 36 divided by 9, which is 4. Check: 36 divided by 4 equals 9.

Question 45Whole numbers, operations and elementary patterns

Round 7,851 to the nearest hundred.

  1. 7,900 Correct answer.
  2. 7,800
  3. 8,000
  4. 7,850

Explanation

The tens digit is 5, so round the hundreds digit up: 7,851 rounds to 7,900.

Question 46Fractions and decimal notation

A recipe needs 2/4 cup of sugar and 1/4 cup of brown sugar. How much sugar is used in all?

  1. 3/4 cup Correct answer.
  2. 3/8 cup
  3. 1/2 cup
  4. 2/4 cup

Explanation

Both fractions have the denominator 4, so add the numerators: 2 + 1 = 3, giving 3/4 cup in all.

Question 47Fractions and decimal notation

What is 3 x 2/5 ?

  1. 6/5 Correct answer.
  2. 3/5
  3. 6/15
  4. 5/6

Explanation

Multiplying a whole number by a fraction multiplies the numerator: 3 x 2/5 equals (3 x 2)/5, which is 6/5.

Question 48Fractions and decimal notation

Which mixed number is equal to the improper fraction 11/4?

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

Explanation

Dividing 11 by 4 gives 2 with a remainder of 3, so 11/4 equals 2 and 3/4.

Question 49Fractions and decimal notation

Which symbol makes this true: 0.6 ___ 0.58?

  1. > Correct answer.
  2. <
  3. =
  4. none of these

Explanation

Writing 0.6 as 0.60, compare hundredths: 60 hundredths is greater than 58 hundredths, so 0.6 is greater than 0.58.

Question 50Fractions and decimal notation

Order these decimals from least to greatest: 0.4, 0.04, 0.44.

  1. 0.04, 0.4, 0.44 Correct answer.
  2. 0.4, 0.04, 0.44
  3. 0.44, 0.4, 0.04
  4. 0.04, 0.44, 0.4

Explanation

Comparing hundredths: 0.04 is 4 hundredths, 0.4 is 40 hundredths, and 0.44 is 44 hundredths. Least to greatest is 0.04, 0.4, 0.44.