The document contains a mathematics worksheet with multiple exercises involving operations like addition, subtraction, multiplication, division, and order of operations. It includes problems calculating expressions, finding quotients and remainders, solving for missing values, and identifying properties of operations. It also provides links to online math games for skills like division and multiplication.

1. UNIT 01 September
1. Do the following operations:
a) 𝟏𝟏𝟏𝟏 ∙ ( 𝟏𝟏𝟏𝟏 + 𝟒𝟒) =
b) 𝟑𝟑 ∙ (𝟐𝟐 + 𝟏𝟏 + 𝟕𝟕) =
c) (𝟏𝟏𝟏𝟏 + 𝟑𝟑𝟑𝟑) ∙ 𝟓𝟓 =
d) 𝟓𝟓 ∙ ( 𝟏𝟏𝟏𝟏 + 𝟒𝟒𝟒𝟒) =
e) 𝟏𝟏𝟏𝟏𝟏𝟏 ÷ ( 𝟔𝟔 + 𝟑𝟑 ∙ 𝟖𝟖) − 𝟓𝟓 =
2. Solve using the correct order of operations.
a) 𝟓𝟓 + 𝟐𝟐 ∙ ( 𝟏𝟏𝟏𝟏 − 𝟐𝟐 ∙ 𝟓𝟓 + 𝟏𝟏) − 𝟑𝟑 =
b) 𝟏𝟏𝟏𝟏 − 𝟑𝟑 ∙ 𝟐𝟐 + 𝟑𝟑𝟑𝟑 ÷ (𝟓𝟓 − 𝟒𝟒 + 𝟑𝟑 ∙ 𝟐𝟐) =
3. Calculate the quotient and the remainder for each case:
a) 𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐 ÷ 𝟖𝟖
b) 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 ÷ 𝟐𝟐𝟐𝟐 =
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises - 1.5.1

2. UNIT 01 September
c) 𝟗𝟗𝟗𝟗𝟗𝟗𝟗𝟗 ÷ 𝟒𝟒𝟒𝟒 =
d) 𝟕𝟕𝟕𝟕𝟕𝟕𝟕𝟕 ÷ 𝟏𝟏𝟏𝟏𝟏𝟏 =
4. Work out and check the solution:
a) 𝟑𝟑𝟑𝟑 − 𝟒𝟒 ∙ (𝟓𝟓 + 𝟐𝟐) =
b) 𝟓𝟓 + 𝟑𝟑 ∙ (𝟖𝟖 – 𝟔𝟔) =
c) 𝟐𝟐 ∙ ( 𝟕𝟕 + 𝟓𝟓)– 𝟑𝟑 ∙ �𝟗𝟗 – 𝟒𝟒� =
d) 𝟑𝟑 ∙ 𝟓𝟓 − 𝟑𝟑 ∙ �𝟏𝟏𝟏𝟏 – 𝟒𝟒 ∙ 𝟐𝟐� =
5. Solve and prove that the position of the parenthesis affects the result:
a) 𝟓𝟓 ∙ �𝟖𝟖 – 𝟒𝟒� ÷ 𝟐𝟐 =
b) �𝟓𝟓 ∙ 𝟖𝟖 – 𝟒𝟒�÷ 𝟐𝟐 =
c) 𝟓𝟓 ∙ �𝟖𝟖 – 𝟒𝟒 ÷ 𝟐𝟐� =
6. Find the missing number using inverse operations.
a) 𝟖𝟖 + 𝒂𝒂 = 𝟏𝟏𝟏𝟏
b) 𝒃𝒃 − 𝟑𝟑𝟑𝟑 = 𝟗𝟗
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises - 1.5.2

3. UNIT 01 September
c) 𝟏𝟏𝟏𝟏 ∙ 𝒅𝒅 = 𝟒𝟒𝟒𝟒𝟒𝟒
d) 𝒚𝒚 ÷ 𝟑𝟑 = 𝟐𝟐𝟐𝟐𝟐𝟐
e) 𝟐𝟐𝟐𝟐 ∙ 𝒄𝒄 = 𝟏𝟏𝟏𝟏𝟏𝟏
f) 𝒇𝒇 − 𝟗𝟗𝟗𝟗 = 𝟏𝟏𝟏𝟏𝟏𝟏
7. Name the property of addition or multiplication used.
a) 𝟔𝟔𝟔𝟔 + 𝟑𝟑𝟑𝟑 + 𝟐𝟐𝟐𝟐 = 𝟐𝟐𝟐𝟐 + 𝟔𝟔𝟔𝟔 + 𝟑𝟑𝟑𝟑
b) ( 𝟏𝟏𝟏𝟏 ∙ 𝟓𝟓) ∙ 𝟒𝟒 = 𝟏𝟏𝟏𝟏 ∙ (𝟓𝟓 ∙ 𝟒𝟒)
c) ( 𝟒𝟒𝟒𝟒 + 𝟗𝟗) + 𝟔𝟔 = 𝟒𝟒𝟒𝟒 + (𝟗𝟗 + 𝟔𝟔)
d) 𝟗𝟗𝟗𝟗 + 𝟎𝟎 = 𝟗𝟗𝟗𝟗
e) 𝟖𝟖𝟖𝟖 ∙ 𝟎𝟎 = 𝟎𝟎
f) 𝟏𝟏𝟏𝟏 ∙ 𝟏𝟏𝟏𝟏 = 𝟏𝟏𝟏𝟏 ∙ 𝟏𝟏𝟏𝟏
g) 𝟐𝟐 ∙ ( 𝟑𝟑𝟑𝟑 ∙ 𝟖𝟖) = (𝟐𝟐 ∙ 𝟑𝟑𝟑𝟑) ∙ 𝟖𝟖
h) 𝟖𝟖𝟖𝟖 ∙ 𝟐𝟐𝟐𝟐 ∙ 𝟓𝟓𝟓𝟓 = 𝟐𝟐𝟐𝟐 ∙ 𝟖𝟖𝟖𝟖 ∙ 𝟓𝟓𝟓𝟓
i) 𝟎𝟎 ∙ 𝟒𝟒𝟒𝟒 = 𝟎𝟎
8. Copy each calculation and put brackets in to give the answer shown
a) 𝟓𝟓 + 𝟗𝟗 ∙ 𝟒𝟒 − 𝟐𝟐 = 𝟑𝟑𝟑𝟑
b) 𝟓𝟓 + 𝟗𝟗 ∙ 𝟒𝟒 − 𝟐𝟐 = 𝟐𝟐𝟐𝟐
c) 𝟓𝟓 + 𝟗𝟗 ∙ 𝟒𝟒 − 𝟐𝟐 = 𝟓𝟓𝟓𝟓
d) 𝟕𝟕 + 𝟏𝟏𝟏𝟏 − 𝟒𝟒 ∙ 𝟑𝟑 + 𝟏𝟏 = 𝟒𝟒𝟒𝟒
e) 𝟕𝟕 + 𝟏𝟏𝟏𝟏 − 𝟒𝟒 ∙ 𝟑𝟑 + 𝟏𝟏 = 𝟑𝟑𝟑𝟑
f) 𝟐𝟐𝟐𝟐 ÷ 𝟖𝟖 − 𝟓𝟓 − 𝟖𝟖 = 𝟎𝟎
g) 𝟏𝟏𝟏𝟏 ∙ 𝟓𝟓 − 𝟑𝟑 + 𝟕𝟕 = 𝟑𝟑𝟑𝟑
h) 𝟏𝟏𝟏𝟏 ∙ 𝟓𝟓 − 𝟑𝟑 + 𝟕𝟕 = 𝟏𝟏𝟏𝟏𝟏𝟏
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises - 1.5.3

4. UNIT 01 September
http://www.mathnook.com/math/bike-racing-math-division.html
http://www.mathnook.com/math/air-math-multiplication.html
More games:
http://www.mathnook.com/math/skill/divisiongames.php
http://www.mathnook.com/math/skill/multiplicationgames.php
Axel Cotón Gutiérrez Mathematics 1º ESO Exercises - 1.5.4