MENU
❌
Home
Math Forum/Help
Problem Solver
Practice
Worksheets
Tests
Algebra
Geometry
College Math
History
Games
MAIN MENU
1 Grade
Adding and subtracting up to 10
Comparing numbers up to 10
Adding and subtracting up to 20
Addition and Subtraction within 20
2 Grade
Adding and Subtracting up to 100
Addition and Subtraction within 20
3 Grade
Addition and Subtraction within 1000
Multiplication up to 5
Multiplication Table
Dividing
Rounding
Addition, Multiplication, Division
Perimeter
4 Grade
Adding and Subtracting
Addition, Multiplication, Division
Equivalent Fractions
Divisibility by 2, 3, 4, 5, 9
Area of Squares and Rectangles
Fractions
Equivalent Fractions
Least Common Multiple
Adding and Subtracting
Fraction Multiplication and Division
Operations
Mixed Numbers
Decimals
Expressions
6 Grade
Percents
Signed Numbers
The Coordinate Plane
Equations
Expressions
Polynomials
Polynomial Vocabulary
Symplifying Expressions
Polynomial Expressions
Factoring
7 Grade
Angles
Inequalities
Linear Functions
8 Grade
Congurence of Triangles
Linear Functions
Systems of equations
Slope
Parametric Linear Equations
Word Problems
Exponents
Roots
Quadratic Equations
Quadratic Inequalities
Rational Inequalities
Vieta's Formulas
Progressions
Arithmetic Progressions
Geometric Progression
Progressions
Number Sequences
Reciprocal Equations
Logarithms
Logarithmic Expressions
Logarithmic Equations
Logarithmic Equations
Logarithmic Inequalities
Irrational Equations
Irrational Inequalities
Trigonometry
Trigonometry
Identities
Trigonometry
Trigonometric Equations
Trigonometric Inequalities
Extremal value problems
Numbers Classification
Geometry
Intercept Theorem
Slope
Law of Sines
Law of Cosines
Vectors
Modulus Inequalities
Exponential Inequalities
Exponential Equations
Modulus equations
Probabilities
Functions
Min, Max Values
Limits
Limits of Functions
Monotonicity of Functions
Properties of Triangles
Pythagorean Theorem
Matrices
Complex Numbers
Inverse Trigonometric Functions
Analytic Geometry
Analytic Geometry
Circle
Parabola
Ellipse
Conic sections
Polar coordinates
Derivatives
Derivatives
Applications of Derivatives
Derivatives
Integrals
Integrals
Integration by Parts
Trigonometric Substitutions
Application
Differential Equations
Home
Practice
Dividing and Mutiplying
Easy
Normal
Dividing and Mutiplying: Difficult Problems with Solutions
By
Catalin David
Problem 1
Calculate
24 ÷ 4 ÷ 3 =
Solution:
If there are no brackets and there are only divisions or multiplications, the operations are done in the order they are written.
24 ÷ 4 = 6
6 ÷ 3 = 2
Problem 2
Calculate
5 × 4 ÷ 4 =
Solution:
5 × 4 ÷ 4 = 20 ÷ 4 = 5
If we multiply, then divide by the same number it's possible to ignore these operations.
Problem 3
Calculate
12 ÷ 4 × 4 =
Solution:
12 ÷ 4 × 4 = 3 × 4 = 12
If we divide, then multiply by the same number it's possible to ignore these operations.
Problem 4
Calculate without doing the operations.
7 × 5 ÷ 5 =
Solution:
7 × 5 ÷ 5 = 7
Problem 5
Calculate without doing the operations.
24 ÷ 8 × 8 =
Solution:
24 ÷ 8 × 8 = 24
Problem 6
Calculate
(24 ÷ 4) ÷ 3 =
Solution:
If there are brackets, the operations inside the brackets are done first.
(24 ÷ 4) ÷ 3 = 6 ÷ 3 = 2
Problem 7
Calculate
24 ÷ (8 ÷ 2) =
Solution:
If there are brackets, the operations inside the brackets are done first.
24 ÷ (8 ÷ 2) = 24 ÷ 4 = 6
Problem 8
Calculate
(40 ÷ 5) ÷ (6 ÷ 3) =
Solution:
If there are brackets, the operations inside the brackets are done first.
(40 ÷ 5) ÷ (6 ÷ 3) = 8 ÷ 2 = 4
Problem 9
Compare
(4 × 3) ÷ 2
<
=
>
(4 ÷ 2) × 3
Solution:
(4 × 3) ÷ 2 = 12 ÷ 2 = 6
(4 ÷ 2) × 3 = 2 × 3 = 6
So they're equal.
Problem 10
Compare
(9 × 6) ÷ (3 × 2)
<
>
=
(9 ÷ 3) × (6 ÷ 2)
Solution:
(9 × 6) ÷ (3 × 2) = 54 ÷ 6 = 9
(9 ÷ 3) × (6 ÷ 2) = 3 × 3 = 9
Problem 11
The number three times smaller than 6 is
3
6
2
18
Solution:
2 because 6 ÷ 3 = 2
Problem 12
The number six times smaller than 30 is
4
6
5
8
Solution:
5 because 30 ÷ 6 = 5
Problem 13
In a classroom there are 24 children. How many groups of 3 children can be made?
Solution:
8 because 24 ÷ 3 = 8
Problem 14
Grandma gives her three grandsons 12 oranges. How many oranges will each one have?
Solution:
4 because 12 ÷ 3 = 3
Problem 15
Tim's age is double the age of Jim. If Tim is 14 years old, then Jim is
8
7
5
6
years old.
Solution:
7 years old because, 14 ÷ 2 = 7
Problem 16
Tom's age is triple the age of Ann. If Tom is 18 years old, then Ann is
9
7
6
8
years old.
Solution:
6 years old, because 18 ÷ 3 = 6
Problem 17
If Matt's age is two times greater than Bill's, then Bill's age is [answer]
three times smaller
two times smaller
four times smaller
Solution:
Two times smaller than Matt's age.
Problem 18
There are 24 appartments in a block. If the block has 8 floors, how many appartments are there on each floor?
Solution:
3 because 24 ÷ 8 = 3
Problem 19
Matt's age is two times smaller than Jim's and two times greater than Tom's. If Jim is 16 years old, how old is Tom?
6
4
8
2
Solution:
Matt's age is 8 years old because 16 ÷ 2 = 8
Tom's age is 4 years old because 8 ÷ 2 = 4
Problem 20
Six books cost \$54. How much does a book cost?
Answer:
dollars.
Solution:
\$9 because 54 ÷ 6 = 9
Problem 21
Six notebooks cost \$12. How much do two notebooks cost?
Solution:
Answer: \$4.
If the number of notebooks is three times smaller, then the price will be three times smaller too.
12 ÷ 3 = 4
Problem 22
Ann has \$36. If a puppet costs \$9, how many puppets can she buy?
Solution:
4 because 36 ÷ 9 = 4
Problem 23
A snail advances 5 metres in an hour. How many hours does it need to advance 45 metres?
Solution:
Answer: 9 hours.
Because 45 ÷ 5 = 9
Problem 24
Tim reads 90 pages in 10 days. How many pages does he read in a day?
Solution:
9 because 90 ÷ 10 = 9
Easy
Normal
Submit a problem on this page.
Problem text:
Solution:
Answer:
Your name(if you would like to be published):
E-mail(you will be notified when the problem is published)
Notes
: use [tex][/tex] (as in the forum if you would like to use latex).
Correct:
Wrong:
Unsolved problems:
Feedback
Contact email:
Follow us on
Twitter
Facebook
Copyright © 2005 - 2026.