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Practice Finding Squares 51²-59², 151²-159², 251²-259²

Worksheet Description

Practice finding squares of numbers like 51²–59², 151²–159², 251²–259², and beyond. Apply the mental maths trick online with 100 interactive problems!

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Introduction

This worksheet helps learners practice a powerful mental maths trick to quickly find squares of numbers such as 51–59, 151–159, 251–259, and similar ranges — entirely without pen and paper.

Start by Learning the Trick

If you are visiting this worksheet for the first time, it is strongly recommended to begin with the interactive blog post Finding Squares 51²-59², 151²-159², 251²-259² that explains this squaring trick step by step.

The blog includes visual flow charts and clear breakdowns that make the logic behind the pattern easy to understand. Once the concept is clear, return here to test your speed and accuracy.

What This Worksheet Covers

This interactive worksheet provides extensive practice for squaring numbers in ranges such as:

  • 51² to 59²
  • 151² to 159²
  • 251² to 259²
  • 351² to 359²
  • 451² to 459²
  • And continuing up to ranges like 1151² to 1159²

Each worksheet session generates a large set of problems, allowing repeated practice and pattern mastery. Every number from the above range is present in this worksheet.

Left-to-Right Mental Calculation Flow

In this worksheet, answers are entered following the left-to-right mental direction of the trick.

The answer is entered from left to right.

First, you mentally build the larger part: (a 5) b.

Then, you append the smaller part: .

This mirrors how the trick is naturally computed in the mind and keeps the thought process smooth and efficient.

Related Squaring Knowledge

What about squares like 50², 150², 250², 350², 450², and similar numbers ending exactly in 50?

If you already know the trick for Finding Squares of Numbers Ending in 5, those cases become straightforward and quick.

Together, these two techniques cover a wide range of squaring problems used in mental maths.

Online, Interactive, and Speed-Focused

This is an online, interactive worksheet where learners enter answers directly into the input boxes.

Immediate feedback allows you to correct mistakes quickly and refine your mental process. No printing or downloading is required.

Click on the green box in the first problem of the worksheet to get started!!