ACCUPLACER ARITHMETIC EXAM STUDY
GUIDE 2026 PRACTICE QUESTIONS WITH FULL
SOLUTION GRADED A+
◉ Define the term for - 2 angles that are - "diagonal" or "across from
each other" Answer: = "vertical angles"
◉ When given a Triangle define the - "capital letters" (A,B,C) and
"lower-case letters" (a,b,c)
What is the trend between the "capital letters" (A,B,C) and "lower-
case letters" (a,b,c) Answer: = "capital letters" (A,B,C) = ANGLES
= "lower-case letters" (a,b,c) = SIDES
= the same letters - ex:(A and a) - are across from each other on a
triangle
◉ Area of a Triangle Answer: 1/2bh
◉ Triangles adds up to Answer: = 180 (degrees)
,◉ Define - Median Answer: = a line drawn on a triangle - starting:
from an angle - ending: in the middle (midpoint) of the angle's
opposite side
- ex: starts at angle A, ends in the middle of side a
◉ Define - Scalene Triangle Answer: = angles and sides all UNEQUAL
◉ Define - Isosceles Triangle Answer: = 2 equal sides - the 2 sides
being the "LEGS" of the triangle and the "BASE" being UNEQUAL
◉ In a Triangle:
- define the term of the - "peak"/the highest angle
- what are the other 2 angles called
- what must be true about the - largest (#) angle and largest (#) side
- what is the important rule about the sides of a triangle Answer: =
"vertex angle"
= "base angles"
= they must be across from each other - ex:(A and a)
= (c) is always the "hypotenuse" and the largest (#) side
, - but sides (a) and (b) must be greater than (c) when added together
◉ Define - Pythagorean Theorem Answer: = (a^2 + b^2 = c^2)
◉ List the 2 - Pythagorean Triple "groups" and explain the trick to
finding all the pythagorean triple triangles Answer: = 3-4-5
= multiply the entire group by (1-5) to find the 5 PT's from the
group
= 5-12-13
= multiply the entire group by (1 and 2) to find the 2 PT's from the
group
◉ List the 5 other PT's that are not in either group Answer: = 8-15-
17
= 7-24-25
=20-21-29
=9-40-41
=11-60-61
◉ Define the 2 - "Special Right Triangles"
and state the facts about each Answer:
GUIDE 2026 PRACTICE QUESTIONS WITH FULL
SOLUTION GRADED A+
◉ Define the term for - 2 angles that are - "diagonal" or "across from
each other" Answer: = "vertical angles"
◉ When given a Triangle define the - "capital letters" (A,B,C) and
"lower-case letters" (a,b,c)
What is the trend between the "capital letters" (A,B,C) and "lower-
case letters" (a,b,c) Answer: = "capital letters" (A,B,C) = ANGLES
= "lower-case letters" (a,b,c) = SIDES
= the same letters - ex:(A and a) - are across from each other on a
triangle
◉ Area of a Triangle Answer: 1/2bh
◉ Triangles adds up to Answer: = 180 (degrees)
,◉ Define - Median Answer: = a line drawn on a triangle - starting:
from an angle - ending: in the middle (midpoint) of the angle's
opposite side
- ex: starts at angle A, ends in the middle of side a
◉ Define - Scalene Triangle Answer: = angles and sides all UNEQUAL
◉ Define - Isosceles Triangle Answer: = 2 equal sides - the 2 sides
being the "LEGS" of the triangle and the "BASE" being UNEQUAL
◉ In a Triangle:
- define the term of the - "peak"/the highest angle
- what are the other 2 angles called
- what must be true about the - largest (#) angle and largest (#) side
- what is the important rule about the sides of a triangle Answer: =
"vertex angle"
= "base angles"
= they must be across from each other - ex:(A and a)
= (c) is always the "hypotenuse" and the largest (#) side
, - but sides (a) and (b) must be greater than (c) when added together
◉ Define - Pythagorean Theorem Answer: = (a^2 + b^2 = c^2)
◉ List the 2 - Pythagorean Triple "groups" and explain the trick to
finding all the pythagorean triple triangles Answer: = 3-4-5
= multiply the entire group by (1-5) to find the 5 PT's from the
group
= 5-12-13
= multiply the entire group by (1 and 2) to find the 2 PT's from the
group
◉ List the 5 other PT's that are not in either group Answer: = 8-15-
17
= 7-24-25
=20-21-29
=9-40-41
=11-60-61
◉ Define the 2 - "Special Right Triangles"
and state the facts about each Answer:
