HSPT Quantitative : HSPT Quantitative Skills
Study concepts, example questions & explanations for HSPT Quantitative
All HSPT Quantitative Resources
Example Questions
Example Question #31 : Hspt Quantitative Skills
Which of the following is the closest to 25?
a. Perimeter of a square with side length
b. Diameter of a circle with radius
c. Perimeter of an equilateral triangle with side length
Both 
Both 
Find the values of a, b, and c.
Since 
Example Question #31 : How To Make Geometric Comparisons
Find the correct relationship between the perimeters of these shapes.
a. A rhombus of side length 4
b. A regular hexagon of side length 2
c. A regular pentagon of side length 3
Find the perimeters of the shapes.
A rhombus has four identical sides:
A hexagon has six:
A pentagon has five:
The correct relationship is 
Example Question #33 : How To Make Geometric Comparisons
Which statement is correct?
Examine the diagram below, which shows all three figures with additional lines.
and
it follows that 
Example Question #34 : How To Make Geometric Comparisons
Figures NOT drawn to scale
Let 
Which is a true statement?
Circle 
Circle 
substitute 
The diameter of the circle is twice this, or 4.
Circle 
Therefore, 
Example Question #32 : How To Make Geometric Comparisons
Note: Figures NOT drawn to scale.
In the above diagram, let 
Which is a correct statement?
The radius of a circle is one half its diameter. Circle A has diameter 16, so its radius is half this, or 8.
The relationship between the area of a circle and its radius 
Circle B has area 
the radius of circle B.
The radius of a circle is its circumference divided by 
Example Question #33 : How To Make Geometric Comparisons
Which statement is correct?
Examine the diagram below, which shows all three figures with additional lines.
Note that each square has been divided into eight congruent parts. 
and 
Of the four choices, only 
Example Question #31 : How To Make Geometric Comparisons
Examine the above three figures. All three squares have the same area.
Of Figure B and Figure C, which figure(s) have the same area shaded in as does Figure A?
B but not C
Both B and C
C but not B
Neither B nor C
C but not B
Figure A is divided into twelve regions of equal area; six are shaded in, which make up 
Figure B is divided into sixteen regions of equal area; seven are shaded in, which make up 
Figure C is divided into eight regions of equal area; four are shaded in, which make up 
Figure C has the same shaded area as Figure A.
The correct response is "Figure C, but not Figure B."
Example Question #38 : How To Make Geometric Comparisons
Examine the above three figures. All three squares have the same area.
Of Figure B and Figure C, which figure(s) have the same area shaded in as does Figure A?
Figure C but not Figure B
Neither Figure B nor Figure C
Figure B but not figure C
Both Figure B and Figure C
Both Figure B and Figure C
Figure A is divided into twelve regions of equal area; nine are shaded in, which make up 
Figure B is divided into sixteen regions of equal area; twelve are shaded in, which make up 
Figure B has the same shaded area as Figure A.
Figure C is divided into eight regions of equal area; six are shaded in, which make up 
Figure C has the same shaded area as Figure A.
The correct response is "Both Figure B and Figure C."
Example Question #39 : How To Make Geometric Comparisons
Refer to the above diagram. Let 
Below are the same figures, but with some additional lines drawn so that each square is divided into equal parts.
These fractions can be compared by expressing them in terms of a least common denominator - 
Comparing numerators, we see that 
Example Question #31 : How To Make Geometric Comparisons
Examine (a), (b), and (c) to find the best answer:
a) perimeter of a square with a side length of
b) perimeter of a rectangle with a length of 
c) perimeter of an equailateral triangle with a side length of
To find perimeter, add up the lengths of all the sides:
a)
b)
c)
(a) and (b) are equal, and they are smaller than (c)
All HSPT Quantitative Resources
