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FAST Math Grade 3 study materials
FAST Math Grade 3 study resources

FAST Math Grade 3 practice questions

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Question 1Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A rectangular garden has an area of 36 square feet and a length of 9 feet. What is the width of the garden in feet?

  1. 324
  2. 6
  3. 27
  4. 4 Correct answer.

Explanation

Area of a rectangle equals length times width, so the width equals area divided by length. Dividing 36 square feet by 9 feet gives 4 feet. Checking the result, 9 times 4 equals 36, which confirms the answer.

Question 2Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which number sentence correctly shows the multiplication fact for 7 groups of 8?

  1. 8 − 7 = 1
  2. 56 ÷ 7 = 63
  3. 7 + 8 = 15
  4. 7 × 8 = 56 Correct answer.

Explanation

The phrase '7 groups of 8' means seven equal groups with eight in each group, which is multiplication. Seven times eight equals 56. The other sentences use addition, subtraction, or an incorrect division result.

Question 3Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A number rounded to the nearest hundred is 500. Which of these numbers could it be?

  1. 438
  2. 549 Correct answer.
  3. 605
  4. 562

Explanation

To round to the nearest hundred, look at the tens digit. A number rounds to 500 when it is from 450 through 549. Of the choices, only 549 falls in that range, since its tens digit is 4.

Question 4Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A baker makes 4 trays of muffins with 12 muffins on each tray. She sells 30 muffins. How many muffins are left?

  1. 42
  2. 18 Correct answer.
  3. 78
  4. 22

Explanation

First find the total by multiplying 4 trays by 12 muffins, which is 48 muffins. Then subtract the 30 sold: 48 minus 30 equals 18. This two-step problem requires multiplying before subtracting.

Question 5Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which fraction is equivalent to one half?

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

Explanation

Two fractions are equivalent when they name the same amount of a whole. Four eighths is the same as one half because 4 is half of 8, and multiplying the numerator and denominator of 1/2 by 4 gives 4/8.

Question 6Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A rectangle is 6 units long and 3 units wide. What is the perimeter of the rectangle?

  1. 18 units Correct answer.
  2. 9 units
  3. 12 units
  4. 36 units

Explanation

Perimeter is the distance around a shape, found by adding all four side lengths. A rectangle with length 6 and width 3 has sides 6, 3, 6, and 3, which add to 18 units. Multiplying 2 times the sum of length and width gives the same result.

Question 7Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which number has a 7 in the hundreds place?

  1. 9,570
  2. 5,730 Correct answer.
  3. 7,204
  4. 4,071

Explanation

In a four-digit number, the hundreds place is the second digit from the right. In 5,730 the digits are 5 thousands, 7 hundreds, 3 tens, and 0 ones, so the 7 is in the hundreds place.

Question 8Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A string is 3/4 of a meter long. Another string is 2/4 of a meter long. What is the total length of the two strings?

  1. 5/4 meters Correct answer.
  2. 6/8 meters
  3. 5/8 meter
  4. 1/4 meter

Explanation

When fractions have the same denominator, add the numerators and keep the denominator. Three fourths plus two fourths equals five fourths, which is also one and one fourth meters.

Question 9Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A pattern starts 3, 6, 12, 24, and continues by the same rule. What is the next number in the pattern?

  1. 36
  2. 96
  3. 48 Correct answer.
  4. 27

Explanation

Each number in the pattern is double the number before it: 3 doubled is 6, 6 doubled is 12, and 12 doubled is 24. Doubling 24 gives 48, so 48 continues the rule.

Question 10Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A class collects 348 cans in week one and 276 cans in week two. How many cans does the class collect in all?

  1. 72
  2. 614
  3. 514
  4. 624 Correct answer.

Explanation

To find the total, add the two amounts using place value. Adding the ones gives 14, so regroup one ten; adding the tens gives 12, so regroup one hundred; the hundreds add to 6. The sum is 624 cans.

Question 11Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which expression has the same value as 6 × (4 + 3)?

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

Explanation

The distributive property says that a number times a sum equals that number times each addend, then added. So 6 × (4 + 3) equals 6 × 4 plus 6 × 3. Both expressions equal 42.

Question 12Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A shape is divided into 8 equal parts, and 5 of the parts are shaded. Which fraction names the shaded part?

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

Explanation

A fraction compares the shaded parts to the total equal parts. There are 5 shaded parts out of 8 equal parts, so the shaded part is 5/8. The denominator always names the total number of equal parts.

Question 13Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A movie starts at 2:45 p.m. and lasts 1 hour and 30 minutes. At what time does the movie end?

  1. 4:15 p.m. Correct answer.
  2. 4:30 p.m.
  3. 3:15 p.m.
  4. 3:75 p.m.

Explanation

Add the hour first: 2:45 plus 1 hour is 3:45. Then add the 30 minutes: 3:45 plus 30 minutes is 4:15 p.m. Minutes are counted in groups of 60, so the time is written 4:15, not 3:75.

Question 14Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A bar graph shows that 12 students chose soccer, 8 chose basketball, and 4 chose tennis. How many more students chose soccer than tennis?

  1. 12
  2. 16
  3. 4
  4. 8 Correct answer.

Explanation

A 'how many more' question is answered by subtracting the smaller amount from the larger. Soccer has 12 students and tennis has 4, so 12 minus 4 equals 8 more students.

Question 15Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which list shows the fractions 3/4, 1/4, and 2/4 in order from least to greatest?

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

Explanation

When fractions have the same denominator, the size of the numerator tells the size of the fraction. The numerators 1, 2, and 3 are in increasing order, so 1/4, 2/4, and 3/4 go from least to greatest.

Question 16Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A square has a side length of 5 centimeters. What is the area of the square?

  1. 20 square centimeters
  2. 10 square centimeters
  3. 25 centimeters
  4. 25 square centimeters Correct answer.

Explanation

The area of a square is found by multiplying one side length by itself. Five times five equals 25, and area is measured in square units, so the area is 25 square centimeters.

Question 17Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A bag holds 45 marbles that are shared equally among 5 children. How many marbles does each child get?

  1. 5
  2. 225
  3. 40
  4. 9 Correct answer.

Explanation

Sharing equally means dividing the total by the number of groups. Forty-five divided by 5 equals 9, and checking gives 9 times 5 equals 45. So each child gets 9 marbles.

Question 18Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which statement about a rhombus is true?

  1. It has exactly three sides.
  2. It has four right angles.
  3. It has four sides of equal length. Correct answer.
  4. It has exactly one pair of parallel sides.

Explanation

A rhombus is a quadrilateral, so it has four sides, and all four sides have equal length. A square is a special rhombus that also has four right angles, but right angles are not required for a rhombus.

Question 19Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A number machine follows the rule 'multiply by 3, then add 2.' What is the output when the input is 7?

  1. 29
  2. 23 Correct answer.
  3. 21
  4. 27

Explanation

Apply the rule in order: first multiply the input 7 by 3 to get 21, then add 2 to get 23. Following the stated order is essential, since adding before multiplying would give a different result.

Question 20Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A rectangle is made of 12 unit squares arranged in 3 equal rows. How many unit squares are in each row?

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

Explanation

The 12 unit squares are divided into 3 equal rows, so divide 12 by 3. Twelve divided by 3 equals 4, meaning each row has 4 unit squares.

Question 21Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which number is equal to 4,000 + 300 + 60 + 8?

  1. 4,638
  2. 4,683
  3. 4,386
  4. 4,368 Correct answer.

Explanation

Expanded form lists each place value separately. The thousands digit is 4, the hundreds digit is 3, the tens digit is 6, and the ones digit is 8, giving 4,368 in standard form.

Question 22Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

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

  1. Fractions cannot be compared unless the numerators are different.
  2. The fraction with the larger denominator has smaller parts, so 1/3 is less than 1/2. Correct answer.
  3. The fraction with the larger denominator is always greater.
  4. The two fractions are equal because both have a 1 on top.

Explanation

A larger denominator means the whole is cut into more parts, so each part is smaller. Thirds are smaller than halves, so 1/3 is less than 1/2 even though 3 is greater than 2. Comparing denominators alone reverses the true order.

Question 23Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A box of pencils holds 24 pencils. A store orders 6 boxes. How many pencils does the store order in all?

  1. 4
  2. 164
  3. 30
  4. 144 Correct answer.

Explanation

Six boxes with 24 pencils each means 6 equal groups of 24, so multiply 6 by 24. Multiplying gives 144 pencils in all, which can be checked by adding 24 six times.

Question 24Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A figure is made by joining two rectangles. One rectangle has an area of 15 square units and the other has an area of 9 square units, with no overlap. What is the area of the whole figure?

  1. 135 square units
  2. 6 square units
  3. 45 square units
  4. 24 square units Correct answer.

Explanation

When two figures do not overlap, the area of the combined figure is the sum of their areas. Adding 15 square units and 9 square units gives 24 square units for the whole figure.

Question 25Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A fraction strip is divided into 6 equal parts. Three parts are shaded. Which fraction is equivalent to the shaded amount?

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

Explanation

Three shaded parts out of 6 equal parts is 3/6. Since 3 is exactly half of 6, the shaded amount equals 1/2. Dividing the numerator and denominator by 3 confirms the equivalence.

Question 26Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A number rounds to 500 when rounded to the nearest hundred. Which number could it be?

  1. 451 Correct answer.
  2. 551
  3. 549
  4. 449

Explanation

To round to the nearest hundred, look at the tens digit. A number rounds to 500 if it lies from 450 through 549, so 451 works. The tens digit 5 means round up from 400 to 500.

Question 27Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which number is equal to 7,000 + 40 + 9?

  1. 7,490
  2. 749
  3. 7,049
  4. 7,409 Correct answer.

Explanation

Write each place value in its column: 7 thousands, 0 hundreds, 4 tens, and 9 ones. That gives 7,049. The zero is needed as a placeholder in the hundreds place.

Question 28Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which multiplication fact can be used to find 6 × 8 by doubling?

  1. 8 × 8 = 64
  2. 6 × 4 = 24
  3. 4 × 8 = 32
  4. 3 × 8 = 24 Correct answer.

Explanation

Doubling strategy: 6 × 8 equals 2 × (3 × 8). Since 3 × 8 = 24, doubling 24 gives 48, which is 6 × 8. This uses a known smaller fact and doubles it.

Question 29Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A rectangle has an area of 36 square centimeters and a length of 9 centimeters. What is its width?

  1. 27 centimeters
  2. 3 centimeters
  3. 6 centimeters
  4. 4 centimeters Correct answer.

Explanation

Area of a rectangle equals length × width, so width = area ÷ length. Divide 36 ÷ 9 = 4. The width is 4 centimeters.

Question 30Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which shape always has four right angles and four equal sides?

  1. parallelogram
  2. rhombus
  3. square Correct answer.
  4. rectangle

Explanation

A square has four equal sides and four right angles by definition. A rectangle has right angles but not necessarily equal sides. A rhombus has equal sides but not necessarily right angles.

Question 31Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which fraction is equivalent to 2/6?

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

Explanation

Divide the numerator and denominator by the same number, 2: 2 ÷ 2 = 1 and 6 ÷ 2 = 3, so 2/6 = 1/3. Equivalent fractions name the same amount with different-sized parts.

Question 32Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A number line shows a point at 3/4. Which fraction is at the same point?

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

Explanation

Multiply the numerator and denominator of 3/4 by 2: 3 × 2 = 6 and 4 × 2 = 8, giving 6/8. Equivalent fractions sit at the same location on a number line.

Question 33Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A rectangle is 7 meters long and 4 meters wide. What is its area?

  1. 11 square meters
  2. 22 square meters
  3. 14 square meters
  4. 28 square meters Correct answer.

Explanation

Area of a rectangle is length × width. Multiply 7 × 4 = 28, so the area is 28 square meters. Perimeter would be 22 meters, but the question asks for area.

Question 34Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A square has a perimeter of 32 inches. What is the length of one side?

  1. 8 inches Correct answer.
  2. 16 inches
  3. 64 inches
  4. 4 inches

Explanation

A square has 4 equal sides, so divide the perimeter by 4: 32 ÷ 4 = 8. Each side is 8 inches.

Question 35Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which expression has the same value as 8 × 7?

  1. 8 + (5 × 2)
  2. 8 × (5 × 2)
  3. 8 × (5 + 2) Correct answer.
  4. (8 + 5) × 2

Explanation

The distributive property lets you split 7 into 5 + 2: 8 × 7 = 8 × (5 + 2). Both sides equal 56.

Question 36Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A pattern starts 5, 10, 20, 40 and continues by the same rule. What is the next number?

  1. 60
  2. 100
  3. 80 Correct answer.
  4. 45

Explanation

Each term is double the term before it: 5 × 2 = 10, 10 × 2 = 20, 20 × 2 = 40. Doubling 40 gives 80.

Question 37Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A number machine follows the rule 'add 6, then multiply by 2.' What is the output when the input is 4?

  1. 20 Correct answer.
  2. 14
  3. 16
  4. 10

Explanation

Follow the rule in order: 4 + 6 = 10, then 10 × 2 = 20. The operations must be done in the given sequence.

Question 38Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A group of 4 friends shares 3 pizzas equally. What fraction of a pizza does each friend get?

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

Explanation

Divide the 3 pizzas among 4 friends: 3 ÷ 4 = 3/4. Each friend gets three fourths of one pizza.

Question 39Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A student says 3/8 is greater than 3/4 because 8 is greater than 4. Which statement explains why this is wrong?

  1. The fractions are equal because the numerators match.
  2. The comparison depends only on the numerators, not the denominators.
  3. A larger denominator means the whole is cut into more pieces, so each piece is smaller. Correct answer.
  4. The fraction with the smaller denominator always has the smaller numerator.

Explanation

When the whole is divided into more equal parts, each part is smaller. Eighths are smaller than fourths, so 3/8 is less than 3/4 even though 8 is greater than 4.

Question 40Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which pair of fractions both equal one half?

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

Explanation

Multiply numerator and denominator by the same number: 1/2 = 2/4 and 1/2 = 4/8. Both fractions name the same amount as one half.

Question 41Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A rectangle is 5 units by 3 units. A second rectangle is 4 units by 2 units. What is the total area of both rectangles?

  1. 30 square units
  2. 23 square units Correct answer.
  3. 15 square units
  4. 14 square units

Explanation

Find each area, then add: 5 × 3 = 15 and 4 × 2 = 8, so 15 + 8 = 23 square units.

Question 42Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A picture graph uses one star to stand for 4 books. A row has 6 stars. How many books does the row show?

  1. 28 books
  2. 24 books Correct answer.
  3. 10 books
  4. 18 books

Explanation

Each star represents 4 books, so multiply the number of stars by 4: 6 × 4 = 24 books.

Question 43Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A bar graph shows 12 students chose soccer, 8 chose basketball, and 4 chose tennis. Which statement is true?

  1. Three times as many students chose soccer as tennis. Correct answer.
  2. The same number of students chose basketball and tennis.
  3. Twice as many students chose soccer as tennis.
  4. Soccer was chosen by fewer students than basketball.

Explanation

Compare soccer (12) with tennis (4): 12 ÷ 4 = 3, so soccer was chosen three times as often as tennis.

Question 44Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A square has a side length of 6 centimeters. What is its perimeter?

  1. 18 centimeters
  2. 24 centimeters Correct answer.
  3. 36 centimeters
  4. 12 centimeters

Explanation

A square has 4 equal sides, so perimeter = 4 × 6 = 24 centimeters. Area would be 36 square centimeters, but the question asks for perimeter.

Question 45Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

What is 84 ÷ 7?

  1. 12 Correct answer.
  2. 14
  3. 10
  4. 11

Explanation

Use a related multiplication fact: 7 × 12 = 84, so 84 ÷ 7 = 12. Division is the inverse of multiplication.

Question 46Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A number has 5 hundreds, 0 tens, and 8 ones. What is the number?

  1. 508 Correct answer.
  2. 580
  3. 58
  4. 5,008

Explanation

Place each digit in its column: 5 in the hundreds place, 0 in the tens place, and 8 in the ones place. The result is 508, with a zero placeholder.

Question 47Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which number sentence shows the commutative property of multiplication?

  1. 3 × (4 × 2) = (3 × 4) × 2
  2. 3 × 1 = 3
  3. 3 × 4 = 12
  4. 3 × 4 = 4 × 3 Correct answer.

Explanation

The commutative property says changing the order of the factors does not change the product. So 3 × 4 equals 4 × 3.

Question 48Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A rectangle is 8 units long and 2 units wide. How does doubling both the length and the width change the area?

  1. The area becomes four times as large. Correct answer.
  2. The area doubles.
  3. The area stays the same.
  4. The area becomes three times as large.

Explanation

Original area: 8 × 2 = 16 square units. New area: 16 × 4 = 64 square units. Since both dimensions double, the area is multiplied by 2 × 2 = 4.

Question 49Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

A student rounds 3,472 to the nearest thousand and gets 4,000. Which statement explains whether this is correct?

  1. Incorrect, because the tens digit 7 means round up to 4,000.
  2. Incorrect, because the hundreds digit 4 is less than 5, so the number rounds to 3,000. Correct answer.
  3. Correct, because every number rounds up to the next thousand.
  4. Correct, because the hundreds digit 4 is less than 5, so round up.

Explanation

To round to the nearest thousand, look at the hundreds digit. Since 4 is less than 5, keep the thousands digit and change the rest to zeros: 3,000.

Question 50Mathematics (B.E.S.T. Standards) - grade-level content domains not enumerated in the source

Which fraction is closest to 1 whole?

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

Explanation

A fraction is closest to 1 when the numerator is closest to the denominator. Since 7 is closest to 8, 7/8 is closest to 1 whole.