This document contains a mathematics worksheet with multiple questions about exponents and patterns involving squares and cubes. It asks the student to write numbers in index notation, name powers, describe patterns in the last digits of squared numbers, make lists of squares and cubes, draw shapes based on a pattern of square tiles, and solve an age word problem using exponents. It also provides links to online exponent games for additional practice.

1. UNIT 02 October
1. Write using index notation:
2. Calculate mentally and write in words the following powers:
3. Name the above powers:
𝟕𝟕 ∙ 𝟕𝟕 𝟖𝟖 ∙ 𝟖𝟖 ∙ 𝟖𝟖 𝟕𝟕 ∙ 𝟕𝟕 ∙ 𝟕𝟕 ∙ 𝟕𝟕
𝟐𝟐 ∙ 𝟐𝟐 ∙ 𝟓𝟓 ∙ 𝟓𝟓 𝟑𝟑 ∙ 𝟑𝟑 ∙ 𝟑𝟑 ∙ 𝟏𝟏𝟏𝟏 𝟒𝟒 ∙ 𝟒𝟒 ∙ 𝟓𝟓 ∙ 𝟓𝟓 ∙ 𝟓𝟓
𝟐𝟐 + 𝟑𝟑 ∙ 𝟑𝟑 ∙ 𝟑𝟑 𝟐𝟐 ∙ 𝟐𝟐 + 𝟑𝟑 ∙ 𝟑𝟑 𝟕𝟕 ∙ 𝟕𝟕 + 𝟐𝟐 ∙ 𝟐𝟐 ∙ 𝟐𝟐
𝟐𝟐 ∙ 𝟐𝟐 ∙ 𝟐𝟐 − 𝟐𝟐 𝟑𝟑 ∙ 𝟑𝟑 − 𝟐𝟐 ∙ 𝟐𝟐 ∙ 𝟐𝟐 𝟓𝟓 + 𝟐𝟐 ∙ 𝟐𝟐 ∙ 𝟐𝟐 + 𝟕𝟕 ∙ 𝟕𝟕
𝟒𝟒𝟑𝟑
𝟓𝟓𝟑𝟑
𝟕𝟕𝟐𝟐
𝟐𝟐𝟑𝟑
𝟓𝟓𝟐𝟐
𝟔𝟔𝟑𝟑
𝟐𝟐𝟐𝟐
𝟏𝟏𝟑𝟑𝟑𝟑
𝟏𝟏𝟏𝟏𝟑𝟑
𝟒𝟒𝟐𝟐
𝟐𝟐𝟓𝟓
𝟏𝟏𝟏𝟏𝟐𝟐
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.2.1.1

2. UNIT 02 October
4. Describe the pattern formed by the last digit of any squared number:
a) Are there any numbers that do not appear as the last digits?
b) Could 𝟒𝟒𝟒𝟒𝟒𝟒 be a square number?
5. Write a list with the squares of all the whole numbers from 1 to 12.
6. Write a list with the cubes of all the whole numbers from 1 to 10.
7. You can build up a pattern using square tiles.
Shape 1 Shape 2 Shape 3
a) Draw the next two shapes in the pattern.
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.2.1.2

3. UNIT 02 October
b) Count the numbers of tiles in each shape and put your results in a table.
Shape Number
Tiles
c) How many tiles would be in Shape 6? And in Shape 9? And in Shape 15?
d) Without drawing it, explain how to know the number of tiles when you know
the number of the shape.
8. When you add the square of Thomas's age to Lauren's age the total is 62. When you
add the square of Lauren's age to Thomas's age the total is 176. How old are Thomas
and Lauren?
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.2.1.3

4. UNIT 02 October
http://www.ezschool.com/play/math/timed-evaluation---find-the-value-of-the-
exponent-before-the-alien-lands/796
http://www.math-play.com/Exponents-Jeopardy/Exponents-Jeopardy.html
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises – 1.2.1.4