Elementary School Math Quiz: Measure Area By Counting Squares
20 questions · exam conditions
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Measure Area By Counting SquaresQuestion 1 of 20

Maria covers a rectangular table with square tiles. She uses 4 rows of tiles, with 6 tiles in each row. Then she removes 3 tiles from one corner to make space for a lamp. What is the area of the table that is still covered by tiles?

21 square units
24 square units
27 square units
30 square units
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Elementary School Math Quiz

Elementary School Math Quiz: Measure Area By Counting Squares

Practice Measure Area By Counting Squares in Elementary School Math with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Measure Area By Counting Squares, giving you a quick way to practice the rules, question types, and explanations that matter most for Elementary School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

Maria covers a rectangular table with square tiles. She uses 4 rows of tiles, with 6 tiles in each row. Then she removes 3 tiles from one corner to make space for a lamp. What is the area of the table that is still covered by tiles?

  1. 21 square units (correct answer)
  2. 24 square units
  3. 27 square units
  4. 30 square units
Explanation: First find the total area: 4 rows × 6 tiles = 24 square units. Then subtract the removed tiles: 24 - 3 = 21 square units. Choice B is the original total area before removing tiles. Choice C adds instead of subtracting (24 + 3). Choice D represents 5 × 6, miscounting the rows.

Question 2

Use the figure to answer the question. Mrs. Ruiz drew two rectangles on grid paper. Rectangle P is 3 units by 5 units. Rectangle Q is 4 units by 4 units. Each unit square is 1 square inch. Which rectangle has the greater area, and by how much?

  1. Rectangle P by 1 square inch
  2. Rectangle Q by 1 square inch (correct answer)
  3. Rectangle P by 2 square inches
  4. Rectangle Q by 2 square inches
Explanation: Rectangle P has an area of 3×5=153 \times 5 = 15 square inches. Rectangle Q has an area of 4×4=164 \times 4 = 16 square inches. Q is larger by 16−15=116 - 15 = 1 square inch. Choice A reverses which is larger. Choice C and D use wrong differences.

Question 3

Use the grid to answer the question. Sara colored part of a grid to make a rectangle. Each unit square represents 1 square centimeter. If she now colors 5 more unit squares to make the rectangle larger, what is the new total area?

  1. 12 square centimeters
  2. 15 square centimeters
  3. 17 square centimeters (correct answer)
  4. 20 square centimeters
Explanation: The original rectangle has 12 unit squares (3×43 \times 4), and adding 5 more gives 12+5=1712 + 5 = 17 square centimeters. Choice A is the original area only. Choice B subtracts instead of adds. Choice D adds too many.

Question 4

Refer to the figure. Marcus started to draw unit squares inside a rectangle but only drew squares along the border. He says he can find the total area without drawing every square. What is the area of the rectangle in square inches?

  1. 14 square inches
  2. 18 square inches
  3. 24 square inches (correct answer)
  4. 28 square inches
Explanation: The rectangle is 4 units by 6 units, so the total area is 4×6=244 \times 6 = 24 square inches. Choice A counts only the border squares (perimeter squares). Choice B misses a row. Choice D is the perimeter in units.

Question 5

Refer to the figure. Two children measured the area of the same rectangle using DIFFERENT sized paper squares. Anna used small squares (1 sq in each) and got an area of 24 square inches. Ben used larger squares as his unit. If Ben's larger squares are each 4 times the area of Anna's squares, how many of Ben's larger squares fit in the same rectangle?

  1. 4 squares
  2. 6 squares (correct answer)
  3. 8 squares
  4. 12 squares
Explanation: If each of Ben's squares covers 4 of Anna's squares, then 24÷4=624 \div 4 = 6 of Ben's larger squares fit in the rectangle. Choice A confuses the answer with the factor 4. Choice C incorrectly uses 24÷324 \div 3. Choice D divides by 2 instead of 4, treating Ben's squares as only twice as large.

Question 6

Kenji covers a rectangle with unit squares. He fits 6 squares in each row and makes 4 rows. He then shades 5 of the squares.

How many of the squares are NOT shaded?

  1. 5
  2. 19 (correct answer)
  3. 24
  4. 29
Explanation: Six squares in each of 4 rows is 24 squares in all. Removing the 5 shaded squares leaves 24 - 5 = 19 squares that are not shaded. Choice A is the number shaded, choice C is the total number of squares, and choice D adds the 5 instead of subtracting.

Question 7

A rug is 6 squares long and 4 squares wide. A mat is 5 squares long and 6 squares wide. Each square covers 1 square foot.

How many more square feet does the mat cover than the rug?

  1. 6 (correct answer)
  2. 24
  3. 30
  4. 54
Explanation: The rug covers 6 times 4, or 24 square feet. The mat covers 5 times 6, or 30 square feet. The mat covers 30 - 24 = 6 more square feet. Choice B is the area of the rug, choice C is the area of the mat, and choice D adds the two areas.

Question 8

A deck would be 8 squares long and 5 squares wide if it were a full rectangle, but a corner section 3 squares by 2 squares is missing. Each square covers 1 square foot.

What is the area of the deck, in square feet?

  1. 6
  2. 24
  3. 34 (correct answer)
  4. 40
Explanation: A full rectangle would cover 8 times 5, or 40 square feet. The missing corner covers 3 times 2, or 6 square feet. The deck covers 40 - 6 = 34 square feet. Choice D forgets the missing corner, choice A is the missing corner alone, and choice B counts only part of the deck.

Question 9

The rectangle below is covered with unit squares. Some of the squares are gray.

How many square units are NOT gray?

  1. 7
  2. 13 (correct answer)
  3. 20
  4. 27
Explanation: The whole rectangle is 5 squares across and 4 squares up, so it covers 20 square units. Counting the gray squares gives 7. That leaves 20 - 7 = 13 square units that are not gray. Choice A is the number of gray squares, choice C is the area of the whole rectangle, and choice D adds the two counts instead of subtracting.

Question 10

The figure below is covered with unit squares.

What is the area of the figure, in square centimeters?

  1. 8
  2. 12 (correct answer)
  3. 16
  4. 20
Explanation: The figure can be split into a tall rectangle 2 squares across and 4 squares up, which is 8 squares, plus the two single squares sticking out on each side, which add 4 more. The area is 8 + 4 = 12 square centimeters. Choice A counts only the tall rectangle. Choice C is the area of the 4-by-4 square around the figure.

Question 11

Two garden beds are covered with unit squares.

What is the combined area of the two beds, in square meters?

  1. 3
  2. 9
  3. 12
  4. 21 (correct answer)
Explanation: Figure A is 4 squares across and 3 squares up, or 12 square meters. Figure B is 3 squares across and 3 squares up, or 9 square meters. Together the beds cover 12 + 9 = 21 square meters. Choice A is the difference between the two areas rather than the total, and choices B and C each give only one bed.

Question 12

A floor plan is covered with unit squares.

What is the total area of the floor, in square feet?

  1. 10
  2. 12
  3. 22 (correct answer)
  4. 27
Explanation: The taller section is 4 squares across and 3 squares up, or 12 square feet. The lower section is 5 squares across and 2 squares up, or 10 square feet. The total is 12 + 10 = 22 square feet. Choices A and B each give only one of the two sections, and choice D is the area of the whole 9-by-3 rectangle around the plan.

Question 13

The rectangle below is covered with unit squares. Some squares are gray and the rest are white.

How many more gray square units are there than white square units?

  1. 5 (correct answer)
  2. 8
  3. 13
  4. 21
Explanation: The whole rectangle covers 7 times 3, or 21 square units. Counting the gray squares gives 13, so the white squares number 21 - 13 = 8. The gray area exceeds the white area by 13 - 8 = 5 square units. Choice B is the white area, choice C is the gray area, and choice D is the area of the whole rectangle.

Question 14

Two figures are covered with unit squares.

What is the combined area of the two figures, in square centimeters?

  1. 4
  2. 8
  3. 12
  4. 20 (correct answer)
Explanation: Figure A is 3 squares across and 4 squares up, or 12 square centimeters. Figure B splits into a 3-by-2 rectangle and a 1-by-2 rectangle, which is 6 + 2 = 8 square centimeters. Together they cover 12 + 8 = 20 square centimeters. Choice A is the difference between the two areas, and choices B and C each give only one figure.

Question 15

The rectangle below is covered with unit squares. Some squares are gray and the rest are white.

How many more white square units are there than gray square units?

  1. 6 (correct answer)
  2. 9
  3. 15
  4. 24
Explanation: The whole rectangle covers 6 times 4, or 24 square units. The gray part is 3 squares across and 3 squares up, or 9 square units, so the white part covers 24 - 9 = 15 square units. The white area exceeds the gray area by 15 - 9 = 6 square units. Choice B is the gray area, choice C is the white area, and choice D is the area of the whole rectangle.

Question 16

A patio is built from square stones that each cover 1 square foot. The wide section has 5 rows of 7 stones. The narrow section has 2 rows of 3 stones.

What is the total area of the patio, in square feet?

  1. 6
  2. 29
  3. 35
  4. 41 (correct answer)
Explanation: The wide section covers 5 times 7, or 35 square feet. The narrow section covers 2 times 3, or 6 square feet. The patio covers 35 + 6 = 41 square feet. Choice C gives only the wide section, choice A only the narrow section, and choice B subtracts the sections instead of adding them.

Question 17

Two figures are covered with unit squares.

How many more square units does Figure A cover than Figure B?

  1. 7 (correct answer)
  2. 9
  3. 16
  4. 25
Explanation: Figure A is a 5-by-4 rectangle with a 2-by-2 corner missing, so it covers 20 - 4 = 16 square units. Figure B is 3 squares across and 3 squares up, or 9 square units. The difference is 16 - 9 = 7 square units. Choice B is the area of Figure B, choice C is the area of Figure A, and choice D adds the two areas.

Question 18

Refer to the figure. Maya covered a rectangle with unit squares, but a few squares in the middle are missing from the drawing. She knows the rectangle is completely filled with the same-size squares. How many square units is the total area?

  1. 18 square units
  2. 20 square units
  3. 24 square units (correct answer)
  4. 15 square units
Explanation: The rectangle is 4 rows by 6 columns, so the total area is 4×6=244 \times 6 = 24 square units, even though some middle squares are not drawn. Choice A (18) counts only the visible squares. Choice B (20) miscounts one row. Choice D (15) counts only one section of the rectangle.

Question 19

A rectangular classroom floor has 40 square tiles in total. After installation, the teacher notices that 6 tiles are damaged and must be removed for replacement. How many square tiles of good carpet remain?

  1. 34 square units (correct answer)
  2. 36 square units
  3. 38 square units
  4. 40 square units
Explanation: The floor has 40 square tiles total, and 6 are damaged and removed, so 40 minus 6 equals 34 square tiles of good carpet, making A correct. Choice B (36) does not match subtracting 6 from 40. Choice C (38) is too high for this subtraction. Choice D (40) is the original total before removing the damaged tiles.

Question 20

Look at the shape made of unit squares. If 2 more unit squares are added to make the shape into a complete rectangle, what will be the total area?

  1. 8 square units
  2. 10 square units
  3. 12 square units (correct answer)
  4. 14 square units
Explanation: The L-shaped figure contains 10 unit squares. To complete it into a 3×4 rectangle, 2 more squares are needed in the bottom-right corner. Total area = 10 + 2 = 12 square units. Choice A only counts the current squares incorrectly. Choice B is just the current area without adding. Choice D assumes a 2×7 rectangle completion.