Monthly Archives: August 2023

Geometry: Given ratio of exterior angles find the ratio of interior angles

Posted on August 26, 2023 by Sumant Sumant

The ratio of exterior angles of a triangle is 3:4:5, Find the ratio of three interior angles

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Geometry Right Triangles Missing Angle

Posted on August 26, 2023 by Sumant Sumant

Triangle ABC and triangle CDE are both right angled triangles. Their heights are AB and DE respectively and they intersect at P. Given that angle BPE = 50 degree, find angle BCD

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SAT Question on Parabola with vertex and sum of coefficients

Posted on August 26, 2023 by Sumant Sumant

In the xy plane a parabola has vertex (9,-14) and intersects the x axis at two points. If the equation of the parabola is written in the form , where and are constants, which of the following could be the … Continue reading →

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SAT Practice Rectangular Prism

Posted on August 26, 2023 by Sumant Sumant

Two identical rectangular prisms each of height 90 cm. The base of each prism is a square and the surface area of each prism is cm sq. If the prisms are glued together along the square base, the resulting prism … Continue reading →

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SAT Practice Quadratic Equation

Posted on August 26, 2023 by Sumant Sumant

The expression , where is a constant , can be written as , where and are integer constants. Which of the following must be an integer.

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Length of circular path

Posted on August 26, 2023 by Sumant Sumant
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Using Isoceles Trapezium construction to find the missing angle

Posted on August 20, 2023 by Sumant Sumant

In the diagram and . Find .

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Angle bisector

Posted on August 20, 2023 by Sumant Sumant

It is given that . AD bisects and . Find .

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IB Math HL Optimization of a Hexagon Chocolate box

Posted on August 20, 2023 by Sumant Sumant

A packaging company makes boxes for chocolates. The boxes are closed and the top and bottom are identical regular hexagons of side x cm. If the volume of the box is 90 cm cu. Find the exact value of x … Continue reading →

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An easy Telescoping Sum

Posted on August 20, 2023 by Sumant Sumant
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