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WorksheetsMath 7 - Q1-PT-Reviewer
Total questions: 50
Worksheet time: 3hrs 30mins
The local park is creating a “Geometric Garden Pathway”. The designer wants to use different polygon shapes for decorative tiles. The tiles should include regular polygons and irregular polygons.
Each tile must have 5, 6, 8, or 10 sides. You are given a ruler and protractor to help the designer finalize the shapes.
Which of the following is a polygon that can be used in the pathway design according to the specification?
Pentagon
Rectangle
Triangle
Circle
The local park is creating a “Geometric Garden Pathway”. The designer wants to use different polygon shapes for decorative tiles. The tiles should include regular polygons and irregular polygons.
Each tile must have 5, 6, 8, or 10 sides. You are given a ruler and protractor to help the designer finalize the shapes.
Why would a regular polygon be easier to fit together as tiles in the pathway?
Because irregular polygons are always larger.
Because regular polygons have curved edges.
Because they require no measurement when drawing.
Because all sides and angles are equal, the pattern fits without gaps.
The local park is creating a “Geometric Garden Pathway”. The designer wants to use different polygon shapes for decorative tiles. The tiles should include regular polygons and irregular polygons.
Each tile must have 5, 6, 8, or 10 sides. You are given a ruler and protractor to help the designer finalize the shapes.
You are asked to draw a regular hexagon for one tile using your protractor and ruler. What angle should you measure for each interior angle?
90º
108º
120º
135º
The local park is creating a “Geometric Garden Pathway”. The designer wants to use different polygon shapes for decorative tiles. The tiles should include regular polygons and irregular polygons.
Each tile must have 5, 6, 8, or 10 sides. You are given a ruler and protractor to help the designer finalize the shapes.
Which statement best describes these tiles?
Both tiles are regular polygons.
Tile A is a regular hexagon; Tile B is an irregular hexagon.
Tile A is an irregular octagon; Tile B is a regular pentagon.
Tile A is a regular octagon; Tile B is an irregular pentagon.
An artist is designing a stained-glass window for a community hall. The design will include triangles, quadrilaterals, and regular polygons (pentagon, hexagon, octagon, decagon) arranged in a symmetrical pattern. Each shape must be drawn accurately based on given angle measures to fit perfectly in the window frame.
You are asked to help draw and verify these shapes using a ruler and protractor.
What is the formula for the sum of interior angles of a polygon with n sides?
n × 180º
(n−2) ×180º
n × 360º
(n+2)×180º
An artist is designing a stained-glass window for a community hall. The design will include triangles, quadrilaterals, and regular polygons (pentagon, hexagon, octagon, decagon) arranged in a symmetrical pattern. Each shape must be drawn accurately based on given angle measures to fit perfectly in the window frame.
You are asked to help draw and verify these shapes using a ruler and protractor.
Why is it important to measure angles accurately when creating a stained-glass design?
To avoid cutting extra glass pieces.
To reduce the number of shapes used.
To make the glass pieces look colorful.
To ensure the shapes fit together without leaving gaps.
Which row in the table has both the sum of angles and each angle missing or incorrect?
Triangle
Quadrilateral
Pentagon
Hexagon
The artist wants to use these two shapes:
*Shape A: Has angles of 108o each.
*Shape B: Has angles of 135o each.
Which of the following identifies the shapes?
Shape A is a hexagon; Shape B is a decagon.
Shape A is a pentagon; Shape B is a decagon.
Shape A is an octagon; Shape B is a hexagon.
Shape A is a pentagon; Shape B is an octagon.
When two lines intersect, which angle pair is always equal?
Linear Pairs
Vertical Angles
Adjacent Angles
Complementary Angles
The engineers say that the crossing lines form four right angles. Which term best describes the relationship between the two lines?
Skew lines
Parallel lines
Perpendicular lines
Intersecting lines at an acute angle
If one sign is tilted to form an angle of 60° with the pole, what angle does it make with the road?
30º
60º
90º
120º
In a road plan, two lines intersect so that one angle measures 90°. Which conclusion can you make about all the other angles formed?
They are all equal to 90°.
Two are 90° and two are 45°.
Two are 90° and two are 180°.
Two are acute and two are obtuse.
While learning about polygons, a student encounters the following shape: A four-sided polygon is called a quadrilateral. The student asks: "Is a quadrilateral always a regular polygon?"
No, because quadrilaterals are not polygons.
Yes, because a quadrilateral is a type of square.
Yes, because all polygons with four sides are regular.
No, because some quadrilaterals have sides and angles that are not equal.
If Lyca sketches all the diagonals from a single vertex of this figure, what is expected to occur?
There will be no diagonals.
Every diagonal will be contained within the figure.
At least one diagonal will extend beyond the shape.
The count of diagonals will vary from that of other hexagons.
What are the two categories that best describe the polygon?
Regular and convex because all hexagons have equal sides and outward angles.
Regular and non-convex because hexagons with inward angles are still regular.
Irregular and convex, because unequal sides mean it's irregular, but it still has outward angles.
Irregular and concave, because the unequal sides make it irregular, and the inward angle makes it non-convex.
What is the relationship between an exterior angle and its adjacent interior angle in a polygon?
They are equal in measure.
They are both less than 90°.
They are complementary angles.
They are supplementary angles.
Kate measures regular polygon angles. She discovers that one of the external angles is 40°.
What this tells him about the polygon's interior angle is what she wants to know.
Which answer best demonstrates how the two angles relate to one another?
The interior angle is also 40° because all angles in a regular polygon are the same.
The interior angle is 140° because interior and exterior angles are supplementary.
The interior angle is 180° because that's the sum of all angles in a polygon.
The interior angle is 90° because it must be a right angle if the exterior angle is acute.
Kate measures regular polygon angles. She discovers that one of the external angles is 40°.
What this tells him about the polygon's interior angle is what she wants to know.
What is the measure of the adjacent interior angle? Explain your answer.
40°, because all angles in a regular polygon are equal.
140°, because interior and exterior angles are complementary.
140°, because interior and exterior angles are supplementary.
180°, because that is the total for a straight angle, not a polygon angle.
Kate measures regular polygon angles. She discovers that one of the external angles is 40°.
What this tells him about the polygon's interior angle is what she wants to know.
Which of the following reasoning paths correctly helps Kate determine the measure of each interior angle of the polygon?
Each interior angle equals the external angle, so it is also 40°.
A regular polygon has all interior angles equal to 360°, so each angle is 40°.
The exterior and interior angles add up to 180°, so each interior angle is 140°.
Divide 360° by 40° to get the number of sides; then multiply 40° by that number to get the interior angle.
The Grade 7 – Narra class is designing a tent for their camping event. They want the tent to have a regular polygon base with equal sides and angles for stability. They choose a shape where each exterior angle measures 45°, which creates a wide and even structure when viewed from above.
Based on their chosen design, how many sides will the base of their regular polygon tent have?
6
8
10
12
The Grade 7 – Narra class is designing a tent for their camping event. They want the tent to have a regular polygon base with equal sides and angles for stability. They choose a shape where each exterior angle measures 45°, which creates a wide and even structure when viewed from above.
What relationship between exterior and interior angles will help them determine it?
Interior angle = exterior angle × 2
Interior angle = exterior angle ÷ 2
Interior angle = 180° − exterior angle
Interior angle = 360° − exterior angle.
The Grade 7 – Narra class is designing a tent for their camping event. They want the tent to have a regular polygon base with equal sides and angles for stability. They choose a shape where each exterior angle measures 45°, which creates a wide and even structure when viewed from above.
If students must focus on wind resistance rather than material savings, which base should they select?
A square or rectangle
Any shape, as long as it's regular.
The figure with the greatest number of sides available.
The shape with the fewest sides possible.
Angela, a Grade 7 student, went shopping during a Back-to-School Sale. She saw a backpack she liked that originally cost ₱1,200, but it was being sold at a 25% discount. After buying the bag, Angela checked her receipt and noticed the final price.
Based on the price of the backpack, how much did Angela pay after the 25% discount?
₱300
₱900
₱1,050
₱1,225
Angela, a Grade 7 student, went shopping during a Back-to-School Sale. She saw a backpack she liked that originally cost ₱1,200, but it was being sold at a 25% discount. After buying the bag, Angela checked her receipt and noticed the final price.
If Angela had a ₱1,000 budget, what percentage of her budget did she spend on the bag?
80%
85%
90%
95%
Angela, a Grade 7 student, went shopping during a Back-to-School Sale. She saw a backpack she liked that originally cost ₱1,200, but it was being sold at a 25% discount. After buying the bag, Angela checked her receipt and noticed the final price.
If Angela decided to buy 2 backpacks at the same price and with the same discount, how much would she save from it?
₱300
₱400
₱550
₱600
Angela, a Grade 7 student, went shopping during a Back-to-School Sale. She saw a backpack she liked that originally cost ₱1,200, but it was being sold at a 25% discount. After buying the bag, Angela checked her receipt and noticed the final price.
What does a 25% discount mean in this context?
It is increase by 25%.
The price is reduced by ₱250.
The customer only pays 25% of the price.
The price is reduced by 25% of the original amount.
Jenny is buying a pair of shoes originally priced at ₱2,000. She visits two stores offering different deals:
● Store A offers a 25% discount.
● Store B offers a 20% discount, plus a ₱150 voucher applied after the discount.
If Jenny buys at Store A, how much discount will she get?
₱400
₱450
₱500
₱550
Jenny is buying a pair of shoes originally priced at ₱2,000. She visits two stores offering different deals:
● Store A offers a 25% discount.
● Store B offers a 20% discount, plus a ₱150 voucher applied after the discount.
Which store offers the lower price, and by how much?
Store A, by ₱50
Store B, by ₱50
Store A, by ₱100
Store B, by ₱100
Jenny is buying a pair of shoes originally priced at ₱2,000. She visits two stores offering different deals:
● Store A offers a 25% discount.
● Store B offers a 20% discount, plus a ₱150 voucher applied after the discount.
Which store gives Jenny the better deal, and by how much is it cheaper?
Store A, by ₱50
Store B, by ₱50
Store A, by ₱100
Store B, by ₱100
Marissa was given the task of creating a financial plan to set her goals and manage her resources, so she turned to her sister for help in organizing it.
What does financial planning mean in the context of what Marissa wants to create?
A plan for daily budgeting
A strategy to maximize short-term profits.
A process of setting goals, developing a plan, and managing resources
A method to evade taxes.
Marissa was given the task of creating a financial plan to set her goals and manage her resources, so she turned to her sister for help in organizing it.
If Marissa's sister advised her to 'track all your expenses for one month and compare them to your income,' which of the following actions best applies this advice?
Ri is asking her sister to keep all her receipts for her.
Creating a list of things, she wants to buy next year.
Writing down only the large purchases she makes during the month.
Recording every purchase she makes, including small ones, and subtracting the total from her monthly income.
Marissa was given the task of creating a financial plan to set her goals and manage her resources, so she turned to her sister for help in organizing it.
Which step comes first in the financial planning process, and its importance?
Develop a plan.
Gather information.
Implement the plan.
Identify goals to provide a clear purpose.
Marissa was given the task of creating a financial plan to set her goals and manage her resources, so she turned to her sister for help in organizing it.
Marissa struggles to manage her money. Which monthly financial plan blueprint would you design, create, and recommend?
No plan-spend freely.
Borrow monthly to pay expenses.
Spend more on wants than needs.
Budget with fixed amounts for needs, wants, and savings.
Which formula calculates simple interest on a savings account?
SI = Change / Original Value × 100%
SI = Principal x Rate × Time
SI = New Value - Original value / Original Val
SI = Total Earnings / Principal × V
A bank offers a savings account with a 5% annual interest rate. If Andy deposits ₱1,000, how much interest will she earn after one year?
50
100
150
200
Marissa is tracking her heart rate during a light exercise session. She measures that her heart beats 72 times per minute. She wants to estimate the total number of beats over a short period without counting each one individually.
If Marissa's heart continues to beat at the same rate, how many times will it beat in 5 minutes?
60 beats
330 beats
360 beats
380 beats
Marissa is tracking her heart rate during a light exercise session. She measures that her heart beats 72 times per minute. She wants to estimate the total number of beats over a short period without counting each one individually.
Imagine you are designing a health app that tracks heartbeats during exercise. Based on what you know, what formula would you create to calculate the total number of heartbeats over a given period?
Total beats = Rate × Time
Total beats = Rate ÷ Time
Total beats = Rate - Time
Total beats = Rate + Time
If a car travels 72 miles in 6 hours, how are you going to find the car's speed per hour?
Divide the distance by the time.
Subtract time from distance.
Multiply the distance by the time.
Add the distance and time together.
If a car keeps the same speed (If a car travels 72 miles in 6 hours), how far can they travel in 9 hours?
105 miles
108 miles
110 miles
112 miles
Car A travels 72 miles in 6 hours. Car B travels at 14 mph. Which car is faster, and why?
Car A, because 72÷6=14 mph, equal to Car B's speed.
Car A, because 72÷6=12 mph, which is faster than 14 mph.
Car B, because 72÷6=12 mph, which is slower than 14 mph.
Car B, because 72÷6=10 mph, which is slower than 14 mph.
If a cyclist’s average speed is 15 mph and it increases by 3 mph, what will be the cyclist’s new speed?
5 miles per hour, because 15 ÷ 3 = 5
12 miles per hour, because 15 − 3 = 12
18 miles per hour, because 15 + 3 = 18
45 miles per hour, because 15 × 3 = 45
What fraction of students in Class 6A participated in the Fun Run?
2/3
¾
⅘
5/6
Which class had the highest percentage of student participation?
Class 6A
Class 6B
Class 6C
All classes had the same percentage.
A bakery uses sugar to make cookies. For one batch, the recipe requires 0.6 kilograms of sugar. The baker wants to write 0.6 as a fraction in simplest form to create a scalable recipe chart for different batch sizes. He also wants the chart to show the amount of sugar needed for 3, 5, and 8 batches. Which of the following best represents the simplest fraction form of 0.6 and its correct scaled values for 3, 5, and 8 batches?
They want to place these temperatures on a number line for the exhibit.
As a climate exhibit team member, how would you evaluate the student's placement of -1°C to the left of -2.5°C on a temperature number line?
Correct, because -1°C is colder than -2.5°C.
Correct, because -1°C is warmer than -2.5°C.
Incorrect, -1°C is colder and should be to the right of -2.5°C.
Incorrect, -1°C should be to the right of -2.5°C since it is warmer.
If four draft designs were formulated, which number line design is the most accurate and informative for the climate exhibit?
number line with uneven intervals
number line without labeled temperatures
number line with proper temperature placement
equal-interval number line with improper temperature positioning
If they were to create a number line, which design would best meet their objectives?
During Nutrition Month, Grade 7 students are comparing sugar content in snacks. A group records these values:
*A pack of dried mangoes contains 18.5 grams of sugar.
*A pack of banana chips contains 14.75 grams of sugar.
*A fruit juice box contains 21.25 grams of sugar.
They want to buy ice cream but must stay within the budget.
A student claimed that the total sugar content of the three snacks is 54.25 grams. Which of the following best evaluates the student's claim?
The student is correct because 18.5 - 14.75 + 21.25 = 54.25
The student is correct because 18.5 + 14.75 + 21.25 = 54.25
The student is incorrect because 18.5 + 14.75 + 21.25 = 54.5
The student is incorrect because the correct total is 55.25 grams.
During Nutrition Month, Grade 7 students are comparing sugar content in snacks. A group records these values:
*A pack of dried mangoes contains 18.5 grams of sugar.
*A pack of banana chips contains 14.75 grams of sugar.
*A fruit juice box contains 21.25 grams of sugar.
They want to buy ice cream but must stay within the budget.
A student claimed that the total sugar content of the three snacks is 54.25 grams. Which of the following best evaluates the student’s claim?
If one serving of ice cream contains 12.5 grams of sugar, which mix of snacks and ice cream servings will give them the lowest sugar content?
Banana chips + 2 ice creams
Dried mangoes + 2 ice creams
Banana chips + fruit juice box + 1 ice cream
Dried mangoes + banana chips + 1 ice cream
