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Showing posts from December, 2020

Polygons (how to calculate the angles of a pentagon)

How to calculate the angles of a pentagon ABCDE is a regular pentagon, find the angles of triangle ADC Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be misleading. Let us together make math fun for student to learn.  Don't just copy solved problem here, lea

How to solve problems on similar shapes

 How to solve problems on similar shapes Two square boards are made of the same material and their diagonals measure 40cm and 45cm, respectively. If the smaller cost N 1920 to make, what should be the other cost? Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be

Areas and lengths of similar shapes

Areas and lengths of similar shapes Question:  In the diagram below, the areas of the shaded segments are  36cm square and 16cm square. If the diameter of the large semicircle is 39cm, what is the diameter of the small semicircle ? Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers

Volume of frustum and hemisphere

The volume of a frustum of a cone of height h is given by the  V= 1/3*pi*h (R^2 +Rr +r^2), Where R and r are the radii of its circular ends. Hollow metal hemispheres of internal and external diameters 12.5cm and 17.5cm, respectively, are to be cast from the molten contents of a ladle in the shape of a frustum of a cone of depth 1.2 metres and radii of ends 0.6m and 0.675m. Calculate the number of hemispheres that can be cast. Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the

Spheres and cylinders

A cylindrical can of internal diameter 8cm contains water to a depth of 6cm. 24000 heavy spherical pellets of diameter 2mm are dropped into the can. How far does the water level rise? To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be misleading. Let us together make math

Word problem in quadratic equation

  A woman is five times older than her son, five years ago the product of their ages was 225. What is their present ages ? Solution Present age of the son is 10 years old  Present age of the mother is 50 years old  To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be mislea

Cylinder

A cylindrical iron rod 8cm high and 6cm in diameter stands in a cylindrical tin 12cm in diameter. Water is poured into the tin until its depth is 8cm. How far would the level drop when the rod is removed? Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be mislead

How to calculate the volume of a regular hexagonal nut

 How to calculate the volume of a regular hexagonal nut Calculate the volume of a regular hexagonal nut of side 1cm and length 3cm with a central hole of diameter 1cm. Ignore the thread and give your answer to 3 significant figures. Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers

Angle of elevation

 A student stands 20m away from the foot of a tree and observes that the angle of elevation of the top of the tree from a table 1.5m above the ground, is 34 degree 28 minutes. Calculate the height of the tree to the nearest metre. Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers t

Cone

  The cone below is exactly half full of water by volume. How deep is water in the cone?             Solution To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be misleading. Let us together make math fun for student to learn.  Don't just copy solved problem here, learn

Arcs and Sectors

Arcs and Sectors In the above figure, calculate the length of the minor arc PQ, given that the radius of the circle is 7cm.  Solution: To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be misleading. Let us together make math fun for student to learn.  Don't just copy s

Frustum

 A bucket is 20cm in diameter at the open end, 12cm in diameter at the bottom, and 16cm deep. To what depth would the bucket fill a cylindrical tin of 28cm diameter  SOLUTION To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be misleading. Let us together make math fun for

How to calculate the volume of a Pyramid

 Pyramid A right pyramid with a square base of sides 4cm has a slant edge of 6cm. Calculate the volume of the pyramid.   SOLUTION To solve any problem in mathematics you have to read and understand the problem you are to solve, especially word problem related questions. Failure to carefully read the question might lead to wrong interpretation of the problem and the result of it will be wrong solution to the problem. All problems on this platform have been carefully solved and prepared. If you are a student looking for solutions to your assignments then you are at the right place.  If you are an upcoming teacher looking for solution to a challenging question then you are also at the right place.  You can as well contribute to the growth of this platform by sending questions and answers using the  comment box . Ensure that questions and answers sent are correct as wrong answers to questions can be misleading. Let us together make math fun for student to learn.  Don't just copy solved

How to find the vertical angle of the cone.

 A cone of height 9cm has a volume of ncm cube and a curved surface area of of ncm square. Find the vertical angle of the cone.   SOLUTION