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Angles and shapes
QuizĀ by Mark Jay Agripa
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ā3.how many right angles does a square have?
4
1
3Ā
2
ā2.Which of these shapes ALWAYS has only acute angles?
SquareĀ
Acute triangleĀ
Obtuse triangleĀ
RectangleĀ
3.how many right angles does a square have?
2.Which of these shapes ALWAYS has only acute angles?
1.Ā Which of the following best describes an angle?
4.The point where two rays of an angle meet is called the:
5.Ā An angle that measures exactly 90 degrees is called a(n):
6. Two angles add up to 90 degrees. They are called:
7.Ā (Show a diagram of an angle measuring approximately 120 degrees) What type of angle is shown?
8.Ā Two angles add up to 180 degrees. They are called:
9.Ā The point where two rays of an angle meet is called the:
10.Ā An angle that measures more than 90 degrees but less than 180 degrees is called a(n):
Angles and 2D shapesQuick check- Angles and properties of shapesAngles, Sides, and Shapes Place value, number notation, fractions, decimals, percentages, average, simpl interest, ratio, proportion, factors, multiples, properties of 2D and 3D shapes, area of shapes, addition and subtraction of fractions, angles, perfect squares, cost and selling price, equivalent fractuions, circle, addition of decimals, perimeter of shapes, mean, median, mode, algebra, increment, discount, multiplication of decimals, positive and negative integers, order of fractions, area of circle, time interval and difference, odd and even numbers, pythagoras theorem, average speed, distance and time, probability, roman numerals Q1. A teacher designs a lesson where students compute real-life percentages such as discounts and savings. š A student calculates 15% of 200 to determine savings in a purchase. What is the correct result? A. 20 B. 25 C. 30 D. 35 Q2. In a classroom activity, learners compare numbers to find the highest common factor for grouping materials evenly. š What is the GCF of 24 and 36? A. 6 B. 8 C. 12 D. 18 š FRACTIONS, DECIMALS, AND POWERS Q3. A learner converts fractions into percentages for data interpretation. š What is 3/4 expressed as a percentage? A. 50% B. 60% C. 75% D. 80% Q4. A student models exponential growth using repeated multiplication. š What is the value of 252^525? A. 25 B. 30 C. 32 D. 64 š ALGEBRA (EQUATIONS AND EXPRESSIONS) Q5. A teacher guides students to solve equations that represent real-life situations. š Solve: 2x+8=202x + 8 = 202x+8=20 A. x = 4 B. x = 6 C. x = 8 D. x = 10 Q6. Students simplify expressions to understand relationships between quantities. š Simplify: 3(x+4)ā2x3(x + 4) - 2x3(x+4)ā2x A. x + 12 B. x + 4 C. 5x + 4 D. 5x + 12 š FUNCTIONS AND GRAPHING Q7. A student analyzes a linear equation to determine its rate of change. š What is the slope of y=3xā5y = 3x - 5y=3xā5? A. -5 B. -3 C. 3 D. 5 Q8. A learner evaluates functions to predict outcomes. š If f(x)=2x+3f(x) = 2x + 3f(x)=2x+3, what is f(4)f(4)f(4)? A. 7 B. 9 C. 11 D. 14 š GEOMETRY Q9. Students explore geometric shapes and their properties through visual models. š What is the sum of interior angles of a triangle? A. 90Ā° B. 180Ā° C. 270Ā° D. 360Ā° Q10. A student calculates the area of a classroom table with dimensions 8 cm by 5 cm. š What is the area? A. 26 sq cm B. 30 sq cm C. 40 sq cm D. 48 sq cm š MEASUREMENT AND FIGURES Q11. A learner determines the volume of a cube used in a science experiment. š What is the volume of a cube with side 4 cm? A. 16 cubic cm B. 32 cubic cm C. 48 cubic cm D. 64 cubic cm Q12. Students identify shapes used in design projects. š How many sides does a hexagon have? A. 5 B. 6 C. 7 D. 8 š STATISTICS AND PROBABILITY Q13. A teacher helps students interpret data sets using measures of central tendency. š What is the mean of 4, 6, 8, 10, 12? A. 6 B. 8 C. 10 D. 12 Q14. A class experiment involves flipping a fair coin. š What is the probability of getting heads? A. 1/4 B. 1/3 C. 1/2 D. 2/3 š WORD PROBLEMS (APPLICATION) Q15. A car travels 180 km in 3 hours during a learning task on speed. š What is its average speed? A. 45 km/h B. 60 km/h C. 75 km/h D. 90 km/h Q16. Students analyze work efficiency in a project. š If 5 workers complete a task in 12 days, how long will 10 workers take? A. 3 days B. 6 days C. 8 days D. 12 days Q17. A student solves a problem involving ratios in a classroom population. š If the ratio of boys to girls is 3:2 and there are 30 students, how many boys are there? A. 12 B. 15 C. 18 D. 20 Q18. A learner determines the duration of a scheduled trip. š A journey starts at 8:30 AM and ends at 11:15 AM. How long is the trip? A. 2 hrs 15 mins B. 2 hrs 30 mins C. 2 hrs 45 mins D. 3 hrs 15 mins Q19. A student computes simple interest for financial literacy. š What is the simple interest on ā±1000 at 5% for 2 years? A. ā±50 B. ā±75 C. ā±100 D. ā±150 Q20. A learner solves a perimeter problem involving a rectangle. š A rectangle has a length of 12 cm and perimeter of 34 cm. What is the width? A. 5 cm B. 7 cm C. 10 cm D. 11 cm ā
ANSWER KEY (BASED ON YOUR REVIEWER) (All verified from your uploaded file) [ilide.info...002acd4e5a | PDF] QAnswer1C2C3C4C5B6A7C8C9B10C11D12B13B14C15B16B17C18C19C20AFS L2 Angles and ShapeANIMAL SKELETONS The bones in your body make up your skeleton. You have 206 bones. Bones give your body shape and support. They keep the soft parts inside you safe. Bones come in many shapes and sizes. Your arms and legs are long bones. Your pelvis and shoulder blades are flat bones. The bones in your wrists, hands, ankles, and feet are small. This is what your skeleton looks like. Look at the many kinds of bones in your body. Other animals have skeletons, too. Each animal's skeleton is different. Some are short, some are tall, some are light, and some are strong. Look at this skeleton. How is it different from your skeleton? Do you know what it is? CLUE: This animal flies. It's an eagle. Its bones are hollow and light. Wing feathers attach to the wing bones. Look at this skeleton. How is it different from your skeleton? Do you know what it is? CLUE: This animal hops. It's a frog. It has long back legs for hopping. 10 Its back legs are longer than its body. Look at this skeleton. How is it different from your skeleton? Do you know what it is? CLUE: This animal swims. It's a blue whale. It has no leg bones. Its arms are flippers. Whales are supported by the water. If a whale lived on land, its skeleton would have to be much stronger. Look at this skeleton. How is it different from your skeleton? Do you know what it is? CLUE: This animal runs well. It's a horse. It has long legs for running. A horse has a large rib cage to keep its large lungs safe. It needs large lungs to take in lots of air when it runs. Look at this skeleton. How is it different from your skeleton? Do you know what it is? CLUE: This animal slithers. It's a snake. It has no arms or legs. Its skeleton is one long backbone with ribs. Look at these skulls, or head bones. These are the skulls of the animals in this book. Look at how their shapes and parts are different. Each animal's skeleton is perfect for the way it lives. It has the right kind of skeleton for the support it needs. It has the right kind of skeleton for the way it moves. And so do you.Organic Nomenclature. What are aliphatic compounds or aliphatic hydrocarbons? An aliphatic compound or aliphatic hydrocarbon is an organic compound containing hydrogen and carbon atoms that are usually linked together in chains that are straight. The term Aliphatic has been derived from the Greek word āAleipharā which translates to āfatā. It is used to describe hydrocarbons that are obtained by the chemical degradation of oils or fats. What are aliphatic compounds or aliphatic hydrocarbons? The simplest organic compounds are those composed of only two elements: carbon and hydrogen. These compounds are called hydrocarbons. Hydrocarbons are separated into two types: aliphatic hydrocarbons and aromatic hydrocarbons. Aliphatic hydrocarbons are hydrocarbons based on chains of C atoms. There are three types of aliphatic hydrocarbons: Alkanes are aliphatic hydrocarbons with only single covalent bonds. Alkenes are hydrocarbons that contain at least one CāC double bond, and alkynes are hydrocarbons that contain a CāC triple bond. Occasionally, we find an aliphatic hydrocarbon with a ring of C atoms; these hydrocarbons are called cycloalkanes (or cycloalkenes or cycloalkynes). The simplest alkanes have their C atoms bonded in a straight chain; these are called normal alkanes. They are named according to the number of C atoms in the chain. The smallest alkane is methane: molecule is three dimensional, with the H atoms in the positions of the four corners of a tetrahedron. The diagrams representing alkanes are called structural formulas because they show the structure of the molecule. As molecules get larger, structural formulas become more and more complex. One way around this is to use a condensed structural formula, which lists the formula of each C atom in the backbone of the Molecule. The condensed formulas show hydrogen atoms right next to the carbon atoms to which they are attached, as illustrated for butane: The ultimate condensed formula is a line-angle formula (or line drawing) , in which carbon atoms are implied at the corners and ends of lines, and each carbon atom is understood to be attached to enough hydrogen atoms to give each carbon atom four bonds. For example, we can represent pentane (CH3CH2CH2CH2CH3) and isopentane [(CH3)2CHCH2CH3] as follows: Unsaturated Hydocarbons: Alkenes and Alkynes Alkenes Organic compounds that contain one or more double or triple bonds between carbon atoms are described as unsaturated. Unsaturated hydrocarbons have less than the maximum number of H atoms possible. Unsaturated hydrocarbon molecules that contain one or more double bonds are called alkenes. Carbon atoms linked by a double bond are bound together by two bonds, one Ļ bond and one Ļ bond. Double and triple bonds give rise to a different geometry around the carbon atom that participates in them, leading to important differences in molecular shape and properties. The differing geometries are responsible for the different properties of unsaturated versus saturated fats. Naming Alkenes and Alkynes Alkenes and alkynes are named in a similar fashion. The biggest difference is that when identifying the longest carbon chain, it must contain the CāC double or triple bond. Furthermore, when numbering the main chain, the double or triple bond gets the lowest possible number. This means that there may be longer or higher-numbered substituents than may be allowed if the molecule were an alkane. For example, this molecule is 2,4-dimethyl-3-heptene (note the number and the hyphens that indicate the position of the double bond). ā Unsaturated Hydocarbons: Alkenes and Alkynes Unsaturated Hydocarbons: Alkenes and Alkynes Alkynes Hydrocarbon molecules with one or more triple bonds are called alkynes; they make up another series of unsaturated hydrocarbons. Two carbon atoms joined by a triple bond are bound together by one Ļ bond and two Ļ bonds. The sp-hybridized carbons involved in the triple bond have bond angles of 180Ā°, giving these types of bonds a linear, rod-like shape. The simplest member of the alkyne series is ethyne, C2H2, commonly called acetylene. The Lewis structure for ethyne, a linear molecule, is: Properties of Unsaturated Hydocarbons: Alkenes and Alkynes Ethylene (the common industrial name for ethene) is a basic raw material in the production of polyethylene and other important compounds. Over 135 million tons of ethylene were produced worldwide in 2010 for use in the polymer, petrochemical, and plastic industries. Ethylene is produced industrially in a process called cracking, in which the long hydrocarbon chains in a petroleum mixture are broken into smaller molecules. Halogens can also react with alkenes and alkynes, but the reaction is different. In these cases, the halogen reacts with the CāC double or triple bond and inserts itself onto each C atom involved in the multiple bonds. This reaction is called an addition reaction. One example is Properties of Unsaturated Hydocarbons: Alkenes and Alkynes Hydrogen can also be added across a multiple bond; this reaction is called a hydrogenation reaction. In this case, however, the reaction conditions may not be mild; high pressures of H2 gas may be necessary. A platinum or palladium catalyst is usually employed to get the reaction to proceed at a reasonable pace: CH2=CH2+H2āmetalcatalystCH3CH3 CH2=CH2+H2āmetalcatalystCH3CH3.