MTTC MATHEMATICS TEST QUESTIONS
EXAM QUESTIONS WITH CORRECT
ANSWERS
A table has a rectangular center portion and two semicircular ends that can be folded
out to increase its size, as shown in the diagram below.
"The diagram shows a rectangle with a semicircle at each end to form a capsule shape.
Each end of the rectangle is shown as a dashed line that corresponds to the diameter of
the corresponding semicircle. The long side of the rectangle is dimensioned as 5 feet."
When the ends are folded down, the rectangular portion has a length of 5 feet and an
area of 30 square feet. Which of the following expressions represents the area of the
table when the semicircular ends are folded out?
A. 30 + 6πpi square feet
B. 30 + 9πpi square feet
C. 36πpi square feet
D. 39πpi square feet - Answer-B
Students in a fifth-grade class draw a 1 unit by 1 unit square on a piece of paper, cut the
square out, and use a scale to find its mass. The students then draw various irregular
shapes on the same type of paper, cut them out, and find their masses, and compare
them with the mass of the square. This activity is an example of using:
A. indirect measurement to determine area.
B. direct measurement to determine area.
C. indirect measurement to determine perimeter.
D. direct measurement to determine perimeter. - Answer-A
"There is a diagram of four double cones. Each double cone is composed of two cones
on a common vertical axis, with their tips touching. Each double cone is intersected by a
shaded plane. The hidden edges of the cones, the planes, and their intersections are
shown as dashed lines. The first double cone is intersected by the plane horizontally
through the upper cone. The second double cone is intersected by the plane through
the upper cone at a shallower angle than the side of the cone, such that the resulting
intersection forms a closed shape. The third double cone is intersected by the plane
through the lower cone at a steeper angle than the side of the cone, such that the
resulting intersection forms an open shape. The fourth double cone is intersected
vertically by the plane through both cones at a distance from the vertical axis of the
cones."
The diagram shows four double cones, each intersected by a plane. In - Answer-B
, What is the measure of angle x in the diagram below?
"The diagram shows a triangle with two equal sides and a shorter base. The angle
between the long sides is dimensioned as 40 degrees. The baseline is extended
beyond the long sides of the triangle, and the exterior angle from one long side to the
baseline extension is labeled x."
A. 65°degrees
B. 70°degrees
C. 110°degrees
D. 115° - Answer-C
The diagram below shows two triangles with congruent corresponding parts.
"The diagram shows two triangles rotated with respect to each other such that the first
one points down and the other points up. The vertices of the first triangle are labeled A,
B, and C. The vertices of the second triangle are labeled D, E, and F. Lines A C and D
F are marked with a single slash, and lines B C and E F are marked with a double
slash."
What additional information could be used to show that the two triangles are congruent?
<=angle
A. m<A = m<D
B. AB=DE
C. CB/FE=AC/DF
D. AC/DF=AB/DF - Answer-B
The center of the circle in the diagram below is at (-negative1, 1).
"The circle is plotted on a Cartesian graph with the axes labeled at negative 5 and 5.
The edges of the circle extend horizontally from negative 4 to 2 and vertically from
negative 2 to 4."
What is the circumference of the circle?
A.B3πpi
B. 4πpi
C. 5πpi
D. 6π - Answer-D
The use of the balance and shapes shown in the diagram below would be most
appropriate in promoting students' skills in which of the following areas?
"Balance one with 5 cubes (different shapes) one with 7 cubes (same shape)"
A. equations in two variables
EXAM QUESTIONS WITH CORRECT
ANSWERS
A table has a rectangular center portion and two semicircular ends that can be folded
out to increase its size, as shown in the diagram below.
"The diagram shows a rectangle with a semicircle at each end to form a capsule shape.
Each end of the rectangle is shown as a dashed line that corresponds to the diameter of
the corresponding semicircle. The long side of the rectangle is dimensioned as 5 feet."
When the ends are folded down, the rectangular portion has a length of 5 feet and an
area of 30 square feet. Which of the following expressions represents the area of the
table when the semicircular ends are folded out?
A. 30 + 6πpi square feet
B. 30 + 9πpi square feet
C. 36πpi square feet
D. 39πpi square feet - Answer-B
Students in a fifth-grade class draw a 1 unit by 1 unit square on a piece of paper, cut the
square out, and use a scale to find its mass. The students then draw various irregular
shapes on the same type of paper, cut them out, and find their masses, and compare
them with the mass of the square. This activity is an example of using:
A. indirect measurement to determine area.
B. direct measurement to determine area.
C. indirect measurement to determine perimeter.
D. direct measurement to determine perimeter. - Answer-A
"There is a diagram of four double cones. Each double cone is composed of two cones
on a common vertical axis, with their tips touching. Each double cone is intersected by a
shaded plane. The hidden edges of the cones, the planes, and their intersections are
shown as dashed lines. The first double cone is intersected by the plane horizontally
through the upper cone. The second double cone is intersected by the plane through
the upper cone at a shallower angle than the side of the cone, such that the resulting
intersection forms a closed shape. The third double cone is intersected by the plane
through the lower cone at a steeper angle than the side of the cone, such that the
resulting intersection forms an open shape. The fourth double cone is intersected
vertically by the plane through both cones at a distance from the vertical axis of the
cones."
The diagram shows four double cones, each intersected by a plane. In - Answer-B
, What is the measure of angle x in the diagram below?
"The diagram shows a triangle with two equal sides and a shorter base. The angle
between the long sides is dimensioned as 40 degrees. The baseline is extended
beyond the long sides of the triangle, and the exterior angle from one long side to the
baseline extension is labeled x."
A. 65°degrees
B. 70°degrees
C. 110°degrees
D. 115° - Answer-C
The diagram below shows two triangles with congruent corresponding parts.
"The diagram shows two triangles rotated with respect to each other such that the first
one points down and the other points up. The vertices of the first triangle are labeled A,
B, and C. The vertices of the second triangle are labeled D, E, and F. Lines A C and D
F are marked with a single slash, and lines B C and E F are marked with a double
slash."
What additional information could be used to show that the two triangles are congruent?
<=angle
A. m<A = m<D
B. AB=DE
C. CB/FE=AC/DF
D. AC/DF=AB/DF - Answer-B
The center of the circle in the diagram below is at (-negative1, 1).
"The circle is plotted on a Cartesian graph with the axes labeled at negative 5 and 5.
The edges of the circle extend horizontally from negative 4 to 2 and vertically from
negative 2 to 4."
What is the circumference of the circle?
A.B3πpi
B. 4πpi
C. 5πpi
D. 6π - Answer-D
The use of the balance and shapes shown in the diagram below would be most
appropriate in promoting students' skills in which of the following areas?
"Balance one with 5 cubes (different shapes) one with 7 cubes (same shape)"
A. equations in two variables
