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WorksheetsParallel Elevate Math 7 Reviewer
Total questions: 47
Worksheet time: 46mins
Which of the following is a regular quadrilateral?
Kite
Rectangle
Square
Parallelogram
If a 10-sided polygon (decagon) has all its interior angles equal, which of the following must also be true for it to be regular?
It must be a closed figure in a plane.
It must also have ten equal sides.
It must have interior angle sum of 1260°.
It must be concave.
A student measures one interior angle of a 6-sided polygon and finds it to be 130°. What is a correct inference?
The polygon must be a regular hexagon.
The polygon cannot be a regular hexagon.
The polygon must be a regular heptagon.
The polygon must be concave.
Stephen sees a polygon with eight equal sides but notices two angles labelled 120° and 140°. Stephen says it is a regular octagon. Is he correct?
Yes — equal sides guarantee regularity.
No — sides equal but angles are not all equal so not regular.
Yes — eight sides are enough for regularity.
No — a regular octagon must be concave.
Miguel has a hexagon with all six sides equal. Which friend gives the best method to check if it is regular?
Friend 1: “If all sides equal, it is already regular — no more checks needed.”
Friend 2: “Measure each interior angle; if all are 120°, it’s regular.”
Friend 3: “If all diagonals are equal, it must be regular.”
Friend 4: “Measure one angle; if it’s 120° it must be regular.”
If a triangle has two equal interior angles, the triangle is called:
Equiangular
Equilateral
Isosceles
Scalene
A polygon has five equal sides and five equal interior angles. Which is true?
Each interior angle measures 108°.
Each interior angle measures 120°.
It must be a quadrilateral.
It must be a decagon.
Kieran must draw a regular 10-sided polygon. What is the measure of each interior angle?
90°
126°
144°
150°
When drawing a rhombus that is not a square, which statement about its interior angles is NOT true?
All four angles must be equal.
Opposite angles are equal.
The sum of interior angles is 360°.
It has two acute and two obtuse angles.
Gwen claims: “A quadrilateral with all four interior angles 90° must have four equal sides.” Is Gwen correct?
True — four right angles imply four equal sides.
True — only squares have four right angles.
False — rectangles have four right angles but opposite sides may differ.
False — any quadrilateral with right angles is always a rhombus.
What do we call two angles whose measures add to 90°?
Adjacent
Complementary
Supplementary
Vertical
Which of the following is NOT a type of angle relationship?
Complementary
Supplementary
Vertical
External
(Figure-free) Suppose in triangle vertices H-G-F points are arranged so that ray GH and ray GC form a straight line and angle HGF is 41°. What is the measure of angle HGC, where C lies on the straight extension through G?
41°
49°
139°
141°
(Figure-free) In a straight line, if angle AEF is 99° (AEF and DEB are linear pair), what is the measure of angle DEB?
81°
99°
71°
180°
Given two intersecting lines producing angle pairs AED and FEB (notation: A–E–B and F–E–D crossing), which statement correctly describes the relationship between ∠AED and ∠FEB?
They are supplementary and sum to 180°.
They are complementary and sum to 90°.
They are vertical and therefore equal.
They are adjacent with different measures.
Which of the following names a seven-sided polygon?
Hexagon
Heptagon
Octagon
Nonagon
Which describes a convex polygon?
All sides equal.
All angles equal.
All interior angles less than 180°.
At least one interior angle greater than 180°.
A polygon has four sides of unequal lengths and one interior angle greater than 180°. What is the correct classification?
Regular convex quadrilateral
Regular non-convex quadrilateral
Irregular convex quadrilateral
Irregular non-convex quadrilateral
If a polygon is regular, which statement is always true?
It is convex.
All interior angles are different.
It has an odd number of sides.
It must be non-convex.
Ben says: “Any hexagon with six congruent sides is a regular hexagon.” Is Ben correct?
Yes — equal sides guarantee regularity.
Yes — congruent sides imply congruent angles.
No — equal sides do not guarantee equal angles.
No — regular hexagons cannot be convex.
What relationship is formed by an interior angle and its adjacent exterior angle of a polygon?
Non-adjacent
Complementary
Vertical
Supplementary (linear pair)
If a polygon’s interior angle is acute, what is true about its adjacent exterior angle?
Less than 90°
Greater than 90°
Equal to 90°
Greater than 180°
If an interior angle measures 75°, what is the measure of the adjacent exterior angle?
15°
75°
105°
180°
If an exterior angle measures 35°, what is the adjacent interior angle?
55°
145°
180°
325°
What is the measure of each exterior angle of a regular pentagon?
45°
72°
90°
108°
What is the sum of the interior angles of a triangle?
180°
360°
540°
720°
What is the sum of the exterior angles (one at each vertex) of any polygon?
180°
360°
540°
720°
What is the measure of one interior angle of a regular decagon?
90°
120°
144°
162°
If a polygon’s interior angles sum to 1260°, what polygon is it?
Heptagon
Octagon
Nonagon
Decagon
Consider these statements: Statement 1: Sum of interior angles of a heptagon is 900°. Statement 2: Each interior angle of a regular heptagon is 128.57° (approx). Which is correct?
Statement 1 only
Statement 2 only
Both statements
Neither statement
Which is correct?
Statement 1 only
Statement 2 only
Both statements
Neither statement
Lucas sold 500 loaves last week and 350 loaves this week. By what percent did sales decrease? (round to two decimal places)
15%
30%
42.86%
70%
Sword saved ₱500 last month and ₱625 this month. By what percent did his savings increase?
12.5%
15%
20%
25%
A video game costs ₱2,500. With 12% VAT, what is the total amount to pay?
₱2,512
₱2,700
₱2,800
₱3,000
A make-up set costs ₱6,000 with a 15% discount. How much will Nadie pay?
₱900
₱5,100
₱5,985
₱6,900
Macoy earns 10% commission on sales. If he sold a phone for ₱25,000, his commission is:
₱25
₱250
₱2,500
₱27,500
Michael deposited ₱2,000 at 5% simple interest per year. What will be his total amount after 3 years?
₱300
₱1,700
₱2,150
₱2,300
Which of the following symbols represents the empty set?
∅
{}
n(A)
∪
Which describes a set containing a countable, limited number of elements?
Finite
Infinite
Universal
Equal
Consider the universal set U={U={John, Lisa, Mark, Nina, Oliver, Paul}}. If T={T={John, Nina, Paul}} are members of the art club, which set represents the complement (students who are NOT in the club)?
{Lisa, Mark, Oliver}
{John, Nina, Paul}
{Mark, Nina, Paul}
{John, Lisa, Mark, Nina, Oliver, Paul}
What is the total number of unique letters in the word “BANANA”?
1
2
3
6
Given A={4,8,12,16} and B={a,b,c,d}, which describes their relationship?
Equal but not equivalent
Not equal but equivalent
Both equal and equivalent
Neither equal nor equivalent
A pair of shoes costs ₱3,500. Store gives 20% discount. After the discount a 12% sales tax (VAT) is added to the discounted price. How much do you pay in total?
Mio deposited ₱5,000 at simple interest. After 4 years he earned ₱1,000 interest. What was the annual interest rate?
What is the measure of each interior angle of a regular hexagon?
135°
120°
150°
90°
Which of the following is true about the sum of the interior angles of a polygon with n sides?
(n-1) × 180°
(n-2) × 180°
n × 180°
(n+2) × 180°
In a triangle, if one angle measures 50° and another measures 60°, what is the measure of the third angle?
70°
100°
80°
90°
