3rd Grade Area Test with Point Values (PDF)
This area test for 3rd Grade covers area (Common Core 3.MD.C.5, 3.MD.C.6, 3.MD.C.7), with a free PDF to print.
This test has 9 questions worth 20 points in total. It covers counting unit squares, area of rectangles, missing sides, splitting rectangles, and L-shaped figures (3.MD.C.5 to 3.MD.C.7). Show all work and write units. You have 45 minutes.
Time and points
- Grade: Grade 3
- Chapter: Area
- Standards: 3.MD.C.5, 3.MD.C.6, 3.MD.C.7
- Time: 45 minutes
- Total: 20 points
Area test: questions
Question 1 – Count the squares [2 pts]
- Count the unit squares in the rectangle. (1 point)
- Write a multiplication sentence for the area. (1 point)
Question 2 – Area of rectangles [2 pts]
- Find the area of the rectangle. (1 point)
Not drawn to a grid. - Find the area of a square with sides of 9 inches. (1 point)
Question 3 – Find the missing side [2 pts]
- A rectangle has an area of 56 square feet and a length of 8 feet. Find its width. (1 point)
- A rectangle has an area of 72 square meters and a width of 9 meters. Find its length. (1 point)
Question 4 – Split the rectangle [2 pts]
- Find the area of part A and the area of part B. (1 point)
- Find the area of the whole rectangle. (1 point)
Question 5 – L-shaped garden [3 pts]
Find the area of the garden. Show the work.
Question 6 – Patio tiles [3 pts]
Priya’s patio is a rectangle 14 feet long and 6 feet wide. She covers it with square tiles that are 1 foot on each side. Each tile costs $3.
- How many tiles does she need? (1 point)
- What is the total cost of the tiles? (2 points)
Question 7 – Same area [2 pts]
Mei says a rectangle can have an area of 24 square units. List every pair of whole-number side lengths that gives an area of 24.
Question 8 – Does order matter? [2 pts]
Noah says a 7-by-9 rectangle has a different area than a 9-by-7 rectangle. Is he correct? Explain.
Question 9 – Two flower beds [2 pts]
A park has two rectangular flower beds. One is 7 yards by 4 yards. The other is 5 yards by 3 yards. Find the total area of the two beds.
Key facts behind this area test
- A unit square has sides 1 unit long and an area of 1 square unit.
- Rectangle area = length × width (rows times squares in each row).
- Area is always written in square units, such as square feet.
- The distributive property splits a big rectangle into two small ones: 8 × 6 = (5 × 6) + (3 × 6).
- Find the area of an L-shape by cutting it into rectangles and adding.
How to use this area test
Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.
All Grade 3 chapters: Grade 3 math.
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