Grade 3 Math Practice Test: Area and Perimeter
- Area and Perimeter
- 12 questions
- 15 minutes
This test covers area and perimeter: counting unit squares, multiplying side lengths, splitting shapes into rectangles, finding a missing side and comparing rectangles. Tip: area counts the squares that cover a shape, while perimeter is the distance around it.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
Your result
- 0 correct
- 0 wrong
- 0 blank
-
Question 1
The shape is made of squares. Each square is 1 square centimeter.
What is the area of the shape?
Correct answer: B
Count the squares: 3 in the top row and 5 in each of the other two rows, so 3 + 5 + 5 = 13 square centimeters. 15 is the area of a full 5-by-3 rectangle, but two squares are missing from the top row.
-
Question 2
A rectangular rug is 8 feet long and 6 feet wide. What is the area of the rug?
Correct answer: D
The area of a rectangle is length × width: 8 × 6 = 48 square feet. 28 is the perimeter (8 + 6 + 8 + 6), which measures the edge of the rug, not the floor space it covers.
-
Question 3
Mr. Lee puts a fence all the way around a rectangular garden that is 9 meters long and 5 meters wide. How many meters of fence does he need?
Correct answer: A
A fence around the garden is its perimeter, so add all four sides: 9 + 5 + 9 + 5 = 28 meters. 45 is the area (9 × 5), and 19 leaves out one of the sides.
-
Question 4
A rectangle has a perimeter of 30 centimeters. Its length is 9 centimeters. What is its width?
Correct answer: C
The two lengths add up to 9 + 9 = 18 cm, so the two widths together are 30 − 18 = 12 cm, and each width is 12 ÷ 2 = 6 cm. Check: 9 + 6 + 9 + 6 = 30. 12 cm is both widths together, so it skips the last step.
-
Question 5
A rectangular vegetable bed has an area of 42 square feet. One side is 7 feet long. How long is the other side?
Correct answer: A
Think 7 × ☐ = 42. Since 7 × 6 = 42, the other side is 6 feet. 35 comes from subtracting 7 from 42, but area is found by multiplying the sides, so a missing side is found by dividing: 42 ÷ 7 = 6.
-
Question 6
The floor of a room has the shape shown. All of its corners are right angles.
What is the area of the floor?
Correct answer: C
Split the floor into two rectangles: the tall part on the left is 4 × 9 = 36 square feet and the part on the right is 6 × 4 = 24 square feet, so the area is 36 + 24 = 60 square feet. 90 is 10 × 9, the area of a full rectangle that also includes the empty corner.
-
Question 7
Rectangle P is 2 centimeters wide and 6 centimeters long. Which rectangle has the same perimeter as Rectangle P but a different area?
Correct answer: C
Rectangle P has a perimeter of 2 + 6 + 2 + 6 = 16 cm and an area of 2 × 6 = 12 square cm. A 3 cm by 5 cm rectangle also has a perimeter of 16 cm, but its area is 15 square cm. The 3-by-4 and 1-by-12 rectangles have the same area as P but different perimeters, and 6 by 2 is the same rectangle turned sideways.
-
Question 8
Sam wants to build a rectangular pen with an area of 36 square meters. Which length and width use the least fencing?
Correct answer: D
All four pens have an area of 36 square meters, but their perimeters are 40 m, 30 m, 26 m and 24 m. The 6 meters by 6 meters pen has the smallest perimeter, so it needs the least fencing.
-
Question 9
Ana wants to find the area of a rectangle that is 7 units wide and 8 units long. She splits the 8-unit side into 5 units and 3 units, making two smaller rectangles. Which expression shows the total area?
Correct answer: A
Both smaller rectangles are still 7 units wide, so their areas are 7 × 5 = 35 and 7 × 3 = 21, and 35 + 21 = 56, which equals 7 × 8. (7 × 5) + (8 × 3) uses the wrong width for the second rectangle.
-
Question 10
A wall is 10 feet wide and 9 feet tall. It has a door that is 3 feet wide and 7 feet tall. Jamal paints the wall but not the door. How many square feet does he paint?
Correct answer: B
The whole wall is 10 × 9 = 90 square feet and the door is 3 × 7 = 21 square feet. Take away the door: 90 − 21 = 69 square feet. 90 forgets to subtract the door, and 111 adds it instead.
-
Question 11
A garden has five sides and a perimeter of 30 meters. Four of its sides are 6 m, 4 m, 7 m and 5 m long. How long is the fifth side?
Correct answer: B
The four known sides add up to 6 + 4 + 7 + 5 = 22 m. The fifth side is the rest of the perimeter: 30 − 22 = 8 m. 22 m is the total of the known sides, not the missing one.
-
Question 12
A square has a perimeter of 36 inches. What is its area?
Correct answer: D
A square has 4 equal sides, so each side is 36 ÷ 4 = 9 inches. Its area is 9 × 9 = 81 square inches. 9 is the length of one side, not the area.
Questions you leave blank are not counted as wrong.
More Math tests
MathGrade 3 Math Practice Test: Fractions on a Number LineFractions on a Number Line12 questions15 min MathGrade 3 Math Practice Test: Multiplication and DivisionMultiplication and Division12 questions15 minMathGrade 3 Math Practice Test: Time, Measurement and Bar GraphsTime, Measurement and Bar Graphs15 questions20 minMathGrade 3 Math Practice Test: Rounding and EstimationRounding and Estimation10 questions12 minMathGrade 3 Math Practice Test: Addition and Subtraction Within 1,000Addition and Subtraction Within 1,00010 questions12 minMathGrade 3 Math Practice Test: Multiplication Properties and PatternsMultiplication Properties and Patterns10 questions12 minMathGrade 3 Math Practice Test: Two-Step Word ProblemsTwo-Step Word Problems10 questions12 min