Math: FL FAST 5th Grade Math Practice Test 1 Worksheet

Question 1

In the number 3.472, what is the value of the digit 7?

Accepted Answer

The digit 7 is in the hundredths place, so its value is 0.07 or 7 hundredths.

Question 2

Compare the decimals using >, <, or =: 5.608 ___ 5.68.

Accepted Answer

The correct comparison is 5.608 < 5.68 because 5.608 is less than 5.680.

Question 3

Find the product: 246 x 37.

Accepted Answer

The product is 9,102 because 246 x 30 = 7,380 and 246 x 7 = 1,722, and 7,380 + 1,722 = 9,102.

Question 4

Find the quotient: 3,456 ÷ 12.

Accepted Answer

The quotient is 288 because 12 x 288 = 3,456.

Question 5

Add the fractions: 2/3 + 1/4.

Accepted Answer

The sum is 11/12 because 2/3 = 8/12 and 1/4 = 3/12, and 8/12 + 3/12 = 11/12.

Question 6

Subtract: 5 1/6 - 2 3/4.

Accepted Answer

The difference is 2 5/12 because 5 1/6 - 2 3/4 = 31/6 - 11/4 = 62/12 - 33/12 = 29/12, which is 2 5/12.

Question 7

A recipe uses 3/4 cup of sugar. Mia wants to make 2 batches. How many cups of sugar does she need?

Accepted Answer

Mia needs 1 1/2 cups of sugar because 3/4 x 2 = 6/4, which equals 1 1/2.

Question 8

Three friends share 1/2 of a pan of brownies equally. What fraction of the whole pan does each friend get?

Accepted Answer

Each friend gets 1/6 of the whole pan because 1/2 ÷ 3 = 1/6.

Question 9

A ribbon is 4.75 meters long. Another ribbon is 2.6 meters long. What is the total length of the two ribbons?

Accepted Answer

The total length is 7.35 meters because 4.75 + 2.60 = 7.35.

Question 10

Find the product: 4.6 x 2.3.

Accepted Answer

The product is 10.58 because 46 x 23 = 1,058 and there are two decimal places in the factors.

Question 11

Find the quotient: 7.2 ÷ 0.6.

Accepted Answer

The quotient is 12 because 0.6 x 12 = 7.2.

Question 12

Evaluate the expression: 18 + 6 x (9 - 4).

Accepted Answer

The value of the expression is 48 because 9 - 4 = 5, 6 x 5 = 30, and 18 + 30 = 48.

Question 13

Write an expression for this situation: Add 8 to the product of 5 and a number n.

Accepted Answer

An expression for the situation is 5n + 8 because the product of 5 and n is 5n, and then 8 is added.

Question 14

A rectangular prism has a length of 8 inches, a width of 5 inches, and a height of 4 inches. What is its volume?

Accepted Answer

The volume is 160 cubic inches because 8 x 5 x 4 = 160.

Question 15

A composite solid is made from two rectangular prisms. Prism A is 6 cm by 4 cm by 3 cm. Prism B is 2 cm by 4 cm by 5 cm. What is the total volume?

Accepted Answer

The total volume is 112 cubic centimeters because Prism A has volume 72 cubic centimeters and Prism B has volume 40 cubic centimeters.

Question 16

A line plot shows plant growth in inches. There are three Xs at 1/4 inch, two Xs at 1/2 inch, and four Xs at 3/4 inch. What is the total growth represented by all the Xs?

Accepted Answer

The total growth is 4 3/4 inches because 3 x 1/4 = 3/4, 2 x 1/2 = 1, and 4 x 3/4 = 3, so 3/4 + 1 + 3 = 4 3/4.

Question 17

On a coordinate grid, point A is 4 units to the right of the origin and 7 units up. What is the ordered pair for point A?

Accepted Answer

The ordered pair for point A is (4, 7) because the x-coordinate is 4 and the y-coordinate is 7.

Question 18

Point B is at (2, 3), and point C is at (2, 8). What is the distance between the points?

Accepted Answer

The distance between the points is 5 units because the x-coordinates are the same and 8 - 3 = 5.

Question 19

Convert 4 yards 2 feet to feet.

Accepted Answer

The length is 14 feet because 4 yards = 12 feet and 12 + 2 = 14.

Question 20

Convert 3 pounds 5 ounces to ounces.

Accepted Answer

The weight is 53 ounces because 3 pounds = 48 ounces and 48 + 5 = 53.

Question 21

A pattern follows the rule y = 4x + 1. What is the value of y when x = 8?

Accepted Answer

The value of y is 33 because 4 x 8 + 1 = 32 + 1 = 33.

Question 22

Sequence A starts at 2 and adds 3 each time: 2, 5, 8, 11, 14. Sequence B starts at 5 and adds 2 each time: 5, 7, 9, 11, 13. What is the first number that appears in both sequences?

Accepted Answer

The first number that appears in both sequences is 11 because it is the earliest matching term shown in both lists.

Question 23

A quadrilateral has 4 equal sides and no right angles. What is the best name for this shape?

Accepted Answer

The best name for the shape is a rhombus because a rhombus has 4 equal sides, and it does not need to have right angles.

Question 24

A triangle has side lengths of 5 cm, 5 cm, and 8 cm. Classify the triangle by its side lengths.

Accepted Answer

The triangle is isosceles because it has exactly two sides with the same length.

Question 25

Find the product: 0.047 x 1,000.

Accepted Answer

The product is 47 because multiplying by 1,000 moves the decimal point three places to the right.

Question 26

Round 28.746 to the nearest tenth.

Accepted Answer

The number rounded to the nearest tenth is 28.7 because the hundredths digit is 4, so the tenths digit stays the same.

Question 27

Find all the factor pairs for 24.

Accepted Answer

The factor pairs for 24 are 1 and 24, 2 and 12, 3 and 8, and 4 and 6 because each pair multiplies to 24.

Question 28

A school has 5 boxes of markers. Each box has 18 markers. The markers are shared equally among 9 classrooms. How many markers does each classroom get?

Accepted Answer

Each classroom gets 10 markers because 5 x 18 = 90 and 90 ÷ 9 = 10.

Question 29

Which fraction is greater, 5/8 or 2/3? Explain your answer.

Accepted Answer

The fraction 2/3 is greater because 5/8 = 15/24 and 2/3 = 16/24, and 16/24 is greater than 15/24.

Question 30

A rectangular garden is 12 feet long and 7 feet wide. What are the area and perimeter of the garden?

Accepted Answer

The area is 84 square feet because 12 x 7 = 84. The perimeter is 38 feet because 12 + 7 + 12 + 7 = 38.

Question 31

A rectangular prism has a volume of 150 cubic centimeters. Its length is 10 cm and its width is 5 cm. What is its height?

Accepted Answer

The height is 3 centimeters because 10 x 5 = 50 and 150 ÷ 50 = 3.

Question 32

A store has 6 packs of pencils with 24 pencils in each pack. The pencils are divided equally among 8 students. How many pencils does each student receive?

Accepted Answer

Each student receives 18 pencils because 6 x 24 = 144 and 144 ÷ 8 = 18.

Question 33

Find the value of 15.2 - 7.85 + 3.6.

Accepted Answer

The value is 10.95 because 15.20 - 7.85 = 7.35 and 7.35 + 3.60 = 10.95.

Question 34

Four yards of ribbon are cut into pieces that are each 1/3 yard long. How many pieces can be cut?

Accepted Answer

There can be 12 pieces cut because 4 ÷ 1/3 = 12.

Question 35

Convert 2 gallons 3 quarts to cups.

Accepted Answer

The amount is 44 cups because 2 gallons = 32 cups and 3 quarts = 12 cups, so 32 + 12 = 44.

Question 36

Write 6.305 in expanded form.

Accepted Answer

The expanded form is 6 + 0.3 + 0.005 because the number has 6 ones, 3 tenths, 0 hundredths, and 5 thousandths.

Question 37

A table has the ordered pairs (1, 5), (2, 6), (3, 7), and (4, 8). If the pattern continues, what ordered pair has x = 6?

Accepted Answer

The ordered pair is (6, 10) because each y-value is 4 more than the x-value.

Question 38

Evaluate the expression 3n + 5 when n = 7.

Accepted Answer

The value of the expression is 26 because 3 x 7 + 5 = 21 + 5 = 26.

Question 39

There are 157 students going on a field trip. Each bus can hold 24 students. What is the fewest number of buses needed?

Accepted Answer

The fewest number of buses needed is 7 because 6 buses can hold 144 students, and 13 students would still need a bus.

Question 40

A fundraiser sold 48 student tickets and 32 adult tickets. Student tickets cost $5 each, and adult tickets cost $8 each. How much money was collected in all?

Accepted Answer

The fundraiser collected $496 because 48 x 5 = 240, 32 x 8 = 256, and 240 + 256 = 496.

Math: FL FAST 5th Grade Math Practice Test 1

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