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Applied Mathematics — Second Secondary
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Applied Mathematics — Second Secondary
Unit 1: Statics
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Forces
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Forces — Lesson quiz
6 questions
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Resolution of Forces
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Resolution of Forces — Lesson quiz
6 questions
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Resultant of Coplanar Concurrent Forces
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Resultant of Coplanar Concurrent Forces — Lesson quiz
6 questions
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Equilibrium of a Rigid Body under Coplanar Forces
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Equilibrium of a Rigid Body under Coplanar Forces — Lesson quiz
6 questions
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Equilibrium on a Rough Horizontal Plane
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Equilibrium on a Rough Horizontal Plane — Lesson quiz
6 questions
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Unit 2: Solid and Analytic Geometry
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Lines and Planes in Space
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Lines and Planes in Space — Lesson quiz
6 questions
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The Pyramid and the Cone
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The Pyramid and the Cone — Lesson quiz
6 questions
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Lateral and Total Area of Pyramid and Cone
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Lateral and Total Area of Pyramid and Cone — Lesson quiz
6 questions
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Volume of the Right Pyramid and Cone
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Volume of the Right Pyramid and Cone — Lesson quiz
6 questions
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Equation of a Circle
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Equation of a Circle — Lesson quiz
6 questions
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Quiz
Volume of the Right Pyramid and Cone — Lesson quiz
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Questions count:
6
Passing grade:
60%
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1.
Write the rule for the volume of a pyramid.
Volume = base area × height
Volume = ½ × base area × height
Volume = ⅓ × base area × height
Volume = ⅓ × base perimeter × height
2.
A pyramid has a square base of side 5 cm and height 6 cm. Find its volume.
50 cm³
150 cm³
25 cm³
30 cm³
3.
A right circular cone has base radius 4 cm and height 9 cm. Find its volume in terms of π.
16π cm³
48π cm³
144π cm³
12π cm³
4.
A pyramid has a square base of area 36 cm² and volume 48 cm³. Find its height.
3 cm
12 cm
6 cm
4 cm
5.
What is the area of an equilateral triangle of side 4 cm?
8 cm²
2√3 cm²
4√3 cm²
16 cm²
6.
What is the relation between the volume of a right circular cone and that of a cylinder with the same base and height?
The cone's volume is half the cylinder's volume
The cone's volume is one third of the cylinder's volume
The cone's volume is three times the cylinder's volume
The cone's volume equals the cylinder's volume
1
2
3
4
5
6
Questions count:
6
Passing grade:
60%
Start Quiz
1.
Write the rule for the volume of a pyramid.
Volume = base area × height
Volume = ½ × base area × height
Volume = ⅓ × base area × height
Volume = ⅓ × base perimeter × height
2.
A pyramid has a square base of side 5 cm and height 6 cm. Find its volume.
50 cm³
150 cm³
25 cm³
30 cm³
3.
A right circular cone has base radius 4 cm and height 9 cm. Find its volume in terms of π.
16π cm³
48π cm³
144π cm³
12π cm³
4.
A pyramid has a square base of area 36 cm² and volume 48 cm³. Find its height.
3 cm
12 cm
6 cm
4 cm
5.
What is the area of an equilateral triangle of side 4 cm?
8 cm²
2√3 cm²
4√3 cm²
16 cm²
6.
What is the relation between the volume of a right circular cone and that of a cylinder with the same base and height?
The cone's volume is half the cylinder's volume
The cone's volume is one third of the cylinder's volume
The cone's volume is three times the cylinder's volume
The cone's volume equals the cylinder's volume
1
2
3
4
5
6
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Equation of a Circle
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