Math: FL FAST 5th Grade Math Practice Test 1
Practice for key 5th grade math skills
Math: FL FAST 5th Grade Math Practice Test 1
Practice for key 5th grade math skills
Math - Grade 4-5
- 1
In the number 3.472, what is the value of the digit 7?
Look at the second digit to the right of the decimal point.
The digit 7 is in the hundredths place, so its value is 0.07 or 7 hundredths. - 2
Compare the decimals using >, <, or =: 5.608 ___ 5.68.
Write both decimals with the same number of decimal places.
The correct comparison is 5.608 < 5.68 because 5.608 is less than 5.680. - 3
Find the product: 246 x 37.
The product is 9,102 because 246 x 30 = 7,380 and 246 x 7 = 1,722, and 7,380 + 1,722 = 9,102. - 4
Find the quotient: 3,456 ÷ 12.
The quotient is 288 because 12 x 288 = 3,456. - 5
Add the fractions: 2/3 + 1/4.
Use 12 as a common denominator.
The sum is 11/12 because 2/3 = 8/12 and 1/4 = 3/12, and 8/12 + 3/12 = 11/12. - 6
Subtract: 5 1/6 - 2 3/4.
Rename both mixed numbers using twelfths.
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. - 7
A recipe uses 3/4 cup of sugar. Mia wants to make 2 batches. How many cups of sugar does she need?
Mia needs 1 1/2 cups of sugar because 3/4 x 2 = 6/4, which equals 1 1/2. - 8
Three friends share 1/2 of a pan of brownies equally. What fraction of the whole pan does each friend get?
Divide the half-pan into 3 equal parts.
Each friend gets 1/6 of the whole pan because 1/2 ÷ 3 = 1/6. - 9
A ribbon is 4.75 meters long. Another ribbon is 2.6 meters long. What is the total length of the two ribbons?
The total length is 7.35 meters because 4.75 + 2.60 = 7.35. - 10
Find the product: 4.6 x 2.3.
Multiply as whole numbers first, then place the decimal point.
The product is 10.58 because 46 x 23 = 1,058 and there are two decimal places in the factors. - 11
Find the quotient: 7.2 ÷ 0.6.
You can multiply both numbers by 10 to make the divisor a whole number.
The quotient is 12 because 0.6 x 12 = 7.2. - 12
Evaluate the expression: 18 + 6 x (9 - 4).
The value of the expression is 48 because 9 - 4 = 5, 6 x 5 = 30, and 18 + 30 = 48. - 13
Write an expression for this situation: Add 8 to the product of 5 and a number n.
An expression for the situation is 5n + 8 because the product of 5 and n is 5n, and then 8 is added. - 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?
Use the formula volume = length x width x height.
The volume is 160 cubic inches because 8 x 5 x 4 = 160. - 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?
Find the volume of each prism first, then add the volumes.
The total volume is 112 cubic centimeters because Prism A has volume 72 cubic centimeters and Prism B has volume 40 cubic centimeters. - 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?
Multiply each measurement by the number of Xs above it.
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. - 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?
The ordered pair for point A is (4, 7) because the x-coordinate is 4 and the y-coordinate is 7. - 18
Point B is at (2, 3), and point C is at (2, 8). What is the distance between the points?
Since the points line up vertically, subtract the y-coordinates.
The distance between the points is 5 units because the x-coordinates are the same and 8 - 3 = 5. - 19
Convert 4 yards 2 feet to feet.
There are 3 feet in 1 yard.
The length is 14 feet because 4 yards = 12 feet and 12 + 2 = 14. - 20
Convert 3 pounds 5 ounces to ounces.
The weight is 53 ounces because 3 pounds = 48 ounces and 48 + 5 = 53. - 21
A pattern follows the rule y = 4x + 1. What is the value of y when x = 8?
Substitute 8 for x in the rule.
The value of y is 33 because 4 x 8 + 1 = 32 + 1 = 33. - 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?
Compare the terms in order from left to right.
The first number that appears in both sequences is 11 because it is the earliest matching term shown in both lists. - 23
A quadrilateral has 4 equal sides and no right angles. What is the best name for this shape?
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. - 24
A triangle has side lengths of 5 cm, 5 cm, and 8 cm. Classify the triangle by its side lengths.
The triangle is isosceles because it has exactly two sides with the same length. - 25
Find the product: 0.047 x 1,000.
Count the three zeros in 1,000.
The product is 47 because multiplying by 1,000 moves the decimal point three places to the right. - 26
Round 28.746 to the nearest tenth.
The number rounded to the nearest tenth is 28.7 because the hundredths digit is 4, so the tenths digit stays the same. - 27
Find all the factor pairs for 24.
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. - 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?
Each classroom gets 10 markers because 5 x 18 = 90 and 90 ÷ 9 = 10. - 29
Which fraction is greater, 5/8 or 2/3? Explain your answer.
Use 24 as a common denominator.
The fraction 2/3 is greater because 5/8 = 15/24 and 2/3 = 16/24, and 16/24 is greater than 15/24. - 30
A rectangular garden is 12 feet long and 7 feet wide. What are the area and perimeter of the garden?
The area is 84 square feet because 12 x 7 = 84. The perimeter is 38 feet because 12 + 7 + 12 + 7 = 38. - 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?
Divide the volume by the product of the length and width.
The height is 3 centimeters because 10 x 5 = 50 and 150 ÷ 50 = 3. - 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?
Each student receives 18 pencils because 6 x 24 = 144 and 144 ÷ 8 = 18. - 33
Find the value of 15.2 - 7.85 + 3.6.
The value is 10.95 because 15.20 - 7.85 = 7.35 and 7.35 + 3.60 = 10.95. - 34
Four yards of ribbon are cut into pieces that are each 1/3 yard long. How many pieces can be cut?
Ask how many one-third pieces fit into 4 wholes.
There can be 12 pieces cut because 4 ÷ 1/3 = 12. - 35
Convert 2 gallons 3 quarts to cups.
There are 16 cups in 1 gallon and 4 cups in 1 quart.
The amount is 44 cups because 2 gallons = 32 cups and 3 quarts = 12 cups, so 32 + 12 = 44. - 36
Write 6.305 in expanded form.
The expanded form is 6 + 0.3 + 0.005 because the number has 6 ones, 3 tenths, 0 hundredths, and 5 thousandths. - 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?
The ordered pair is (6, 10) because each y-value is 4 more than the x-value. - 38
Evaluate the expression 3n + 5 when n = 7.
The value of the expression is 26 because 3 x 7 + 5 = 21 + 5 = 26. - 39
There are 157 students going on a field trip. Each bus can hold 24 students. What is the fewest number of buses needed?
A remainder means one more bus is needed.
The fewest number of buses needed is 7 because 6 buses can hold 144 students, and 13 students would still need a bus. - 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?
The fundraiser collected $496 because 48 x 5 = 240, 32 x 8 = 256, and 240 + 256 = 496.