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Master Squares with Diagonals - Beginner Level Problems Squares with Diagonals BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Squares with Diagonals. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing squares with diagonals practice, squares with diagonals for competitive exams, and how to solve squares with diagonals.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Squares with Diagonals
Worksheet 3 of 10 (22% complete)

Question 1

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 2

Count the number of squares in the following figure: A 3x3 square grid with both diagonals in the center square only: +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+
Total squares in a 3x3 grid = 14 (9 small + 4 medium + 1 large). The diagonals in the center square do not create new squares, only triangles. Total remains 14.

Question 3

Count the number of squares in the following figure: A 2x2 square grid with both diagonals in each small square: +---+---+ | | | +---+---+ | | | +---+---+
The 4 small squares (each 1x1) + 1 large square (2x2) = 5 squares. The diagonals do not create any additional squares, only triangles.

Question 4

Count the number of squares in the following figure: A 3x3 square grid with both diagonals in the center square only: +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+
Total squares in a 3x3 grid = 14 (9 small + 4 medium + 1 large). The diagonals in the center square do not create new squares, only triangles. Total remains 14.

Question 5

Count the number of squares in the following figure: A 2x2 square grid with both diagonals in each small square: +---+---+ | | | +---+---+ | | | +---+---+
The 4 small squares (each 1x1) + 1 large square (2x2) = 5 squares. The diagonals do not create any additional squares, only triangles.

Question 6

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 7

Count the number of squares in the following figure: A 2x2 square grid with both diagonals in each small square: +---+---+ | | | +---+---+ | | | +---+---+
The 4 small squares (each 1x1) + 1 large square (2x2) = 5 squares. The diagonals do not create any additional squares, only triangles.

Question 8

Count the number of squares in the following figure: A 2x2 square grid with both diagonals in each small square: +---+---+ | | | +---+---+ | | | +---+---+
The 4 small squares (each 1x1) + 1 large square (2x2) = 5 squares. The diagonals do not create any additional squares, only triangles.

Question 9

Count the number of squares in the following figure: A 3x3 square grid with both diagonals in the center square only: +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+
Total squares in a 3x3 grid = 14 (9 small + 4 medium + 1 large). The diagonals in the center square do not create new squares, only triangles. Total remains 14.

Question 10

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 11

Count the number of squares in the following figure: A 2x2 square grid with both diagonals in each small square: +---+---+ | | | +---+---+ | | | +---+---+
The 4 small squares (each 1x1) + 1 large square (2x2) = 5 squares. The diagonals do not create any additional squares, only triangles.

Question 12

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 13

Count the number of squares in the following figure: A 3x3 square grid with both diagonals in the center square only: +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+
Total squares in a 3x3 grid = 14 (9 small + 4 medium + 1 large). The diagonals in the center square do not create new squares, only triangles. Total remains 14.

Question 14

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 15

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 16

Count the number of squares in the following figure: A 3x3 square grid with both diagonals in the center square only: +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+ | | | | +---+---+---+
Total squares in a 3x3 grid = 14 (9 small + 4 medium + 1 large). The diagonals in the center square do not create new squares, only triangles. Total remains 14.

Question 17

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 18

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.

Question 19

Count the number of squares in the following figure: A 2x2 square grid with both diagonals in each small square: +---+---+ | | | +---+---+ | | | +---+---+
The 4 small squares (each 1x1) + 1 large square (2x2) = 5 squares. The diagonals do not create any additional squares, only triangles.

Question 20

Count the number of squares in the following figure: +---+ |\ /| | X | |/ \| +---+
The figure shows a single square with both diagonals drawn. The diagonals create 4 triangles, but no new squares. Therefore, only 1 square exists in this figure.
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