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Quizzes > Mathematics > Basic Math & Arithmetic

Perfect Squares 1-25 Quiz - Test Your Math Skills!

Think you can ace squares 1-25? Start the perfect squares quiz now!

Editorial: Review CompletedCreated By: Dimitar MarinUpdated Aug 24, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration showing numbered squares 1 to 25 on dark blue background for a perfect squares quiz

This Perfect Squares 1 - 25 quiz helps you spot each square from 1 squared to 25 squared and remember them fast. Play to build speed for homework and tests, check any gaps, and then keep going with squares and cubes or more practice with squares and square roots .

What is 2 squared?
2
16
8
4
Squaring a number means multiplying it by itself. 2 × 2 equals 4, so 2 squared is 4. This is one of the basic perfect squares.
What is 5 squared?
20
25
10
15
5 squared means 5 × 5, which equals 25. Perfect squares are results of integers multiplied by themselves. 25 is the square of 5.
Which of the following is a perfect square?
12
14
18
16
16 equals 4 × 4, making it a perfect square. The other numbers cannot be expressed as an integer times itself. Recognizing squares is key in many math problems.
What is the square root of 9?
2
4
5
3
The square root of a number is the value that, when multiplied by itself, gives the original number. 3 × 3 equals 9. Therefore, the square root of 9 is 3.
What is 7 squared?
56
63
49
42
7 squared means 7 × 7. Multiplying these gives 49. Hence, 7 squared is 49, a perfect square.
Which number is NOT a perfect square?
49
36
25
51
25, 36, and 49 are squares of 5, 6, and 7 respectively. 51 cannot be expressed as an integer multiplied by itself. Thus, 51 is not a perfect square.
What is 1 squared?
2
3
1
0
1 squared is 1 × 1, which equals 1. This is the smallest perfect square. Recognizing 1 as a square helps in foundational arithmetic.
Which of these is the square root of 16?
2
4
3
5
4 × 4 equals 16, so 4 is the square root of 16. Square roots reverse the process of squaring. This is fundamental in solving quadratic equations.
What is 11 squared?
121
141
111
131
11 × 11 equals 121. Recognizing squares beyond 10 helps in mental math and algebra. This square is often used in Pythagorean triples.
What is the square root of 64?
7
9
8
6
8 × 8 equals 64, so the square root of 64 is 8. Knowing this square root is crucial for geometry and area problems.
Which is the next perfect square after 49?
64
56
61
72
49 is 7 squared; the next integer is 8, and 8 squared is 64. Hence, the next perfect square after 49 is 64. Perfect squares increase non-linearly as you move up.
What is 8 squared?
56
58
54
64
8 × 8 equals 64. Higher squares like this appear in area calculations for squares with side length 8. Recognizing these quickly is useful in standardized tests.
Which of the following is a perfect square?
52
81
45
92
81 equals 9 × 9, making it a perfect square. The other numbers do not result from an integer multiplied by itself. 81 is commonly used in square root drills.
What is 12 squared?
164
144
154
124
12 × 12 equals 144. This square appears in many real-world area calculations and in Pythagorean triples (e.g., 5-12-13).
What is the square root of 144?
11
12
13
10
12 × 12 equals 144, so the square root of 144 is 12. This is a fundamental fact in algebra and geometry.
Evaluate 9 squared.
99
81
72
90
9 × 9 equals 81. Mastery of these squares helps with quick calculations on exams and in everyday problems.
What is 15 squared?
225
235
215
245
15 × 15 equals 225. Calculating squares in the teens is common in algebraic manipulations and proofs.
What is the square root of 256?
14
16
15
17
16 × 16 equals 256, so the square root of 256 is 16. This fact is used in computing distances in a grid.
Which of these is 17 squared?
299
289
279
309
17 × 17 equals 289. Recognizing this square is important in advanced geometry and number theory.
Which perfect square equals 361?
21²
18²
19²
20²
19 × 19 equals 361. Knowing these squares helps solve problems involving distances and quadratic expressions.
What is the square root of 289?
12
19
15
17
17 × 17 equals 289, making 17 the square root. This is used in simplifying radicals.
What is 20 squared?
300
400
200
500
20 × 20 equals 400. Large squares like this are useful for area calculations of large grids.
Which of the following is NOT a square of an integer between 13 and 20?
341
361
196
256
196 (14²), 256 (16²), and 361 (19²) are perfect squares. 341 is not an integer square in that range. Identifying non-squares tests deeper number sense.
Evaluate 14 squared.
216
196
208
184
14 × 14 equals 196. Recognizing these squares quickly aids in mental math challenges.
What is 21 squared?
481
461
441
421
21 × 21 equals 441. Squares in the twenties range are often used in higher-level problem solving.
What is the square root of 625?
23
25
24
26
25 × 25 equals 625, so the square root of 625 is 25. Recognizing these helps in advanced simplifications.
Which of these numbers is 23 squared?
529
549
519
539
23 × 23 equals 529. This square is used in number theory and quadratic identity checks.
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Study Outcomes

  1. Memorize perfect squares 1 - 25 -

    By the end of the quiz, you'll recall every perfect square from 1² through 25² without hesitation.

  2. Identify square numbers quickly -

    You'll spot perfect squares among other values in seconds, improving accuracy and confidence.

  3. Analyze patterns in square numbers -

    Discover numerical patterns within squares 1 - 25 to deepen number sense and mental math skills.

  4. Apply squares to solve problems -

    Use your knowledge of perfect squares to tackle real-world math puzzles and practice exercises.

  5. Boost calculation speed -

    Develop mental strategies that help you compute squares faster during timed challenges.

  6. Build lasting math confidence -

    Gain a sense of achievement with each correct answer, turning practice into playful learning.

Cheat Sheet

  1. Definition and Basic Formula -

    Every perfect square is the product of an integer by itself, written as n². Start by memorizing 1² through 5² (1, 4, 9, 16, 25) and then apply the same rule up to 25². According to Khan Academy, grounding yourself in this definition builds a solid foundation for recognizing squares 1 - 25.

  2. Sum of Consecutive Odd Numbers -

    Perfect squares can be seen as sums of the first n odd numbers (e.g., 1 = 1; 1+3 = 4; 1+3+5 = 9). This pattern, highlighted by MIT's math department, offers a neat way to derive squares without multiplication. Practicing this helps you internalize squares 1 - 25 through simple addition.

  3. Pattern Recognition in Digits -

    Notice that square numbers from 1 to 25 end only in 0, 1, 4, 5, 6, or 9, and numbers ending in 5 always yield a square ending in 25. The University of Cambridge math circle notes these digit patterns can quickly eliminate non-squares. Spotting these endings speeds up quizzes and mental checks.

  4. Recursive Formula for Quick Calculation -

    Use the identity (n+1)² = n² + 2n + 1 to jump from one square to the next - e.g., 4² = 16, so 5² = 16 + 2·4 + 1 = 25. Research by the National Council of Teachers of Mathematics (NCTM) endorses this trick for efficient mental math. It's especially handy when you forget a specific square in the 1 - 25 range.

  5. Visual Square Models -

    Drawing an n×n grid of dots or squares makes the concept of perfect squares tangible and memorable. According to NCTM studies, visual models strengthen number sense and retention of square numbers. Create simple dot arrays for 6² (36 dots) up to 10² (100 dots) to see perfect squares 1 - 25 in action.

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