1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then.

Slides:



Advertisements
Similar presentations
solved problems on optimization
Advertisements

Whiteboardmaths.com © 2004 All rights reserved
By Dr. Julia Arnold
MATHCOUNTS 2003 School Competition Countdown Round.
Mensuration.
Bell Quiz. Objectives Learn to write and solve problems using proportions.
9.2 – Curves, Polygons, and Circles Curves The basic undefined term curve is used for describing non- linear figures in a plane. A simple curve can be.
Grade 8 Algebra1 Review of Proportion and Percent
PERIMETER GRADE 3. Hello, How are you doing? Today, we are going to start a new lesson on.
Copyright © Ed2Net Learning, Inc. 1 Algebra I Applications of Proportions.
Composite Shapes Circular Parts
Similar figures have exactly the same shape but not necessarily the same ______________. Corresponding sides of two figures are in the same relative position,
Warm-Up: Find the value of x in each diagram.
Similar Polygons.
Prerequisite Skills VOCABULARY CHECK ANSWER 24.5 in The area of the rectangle is ?. 2. The perimeter of the rectangle is ?. 3. The opposite of any.
Over Lesson 11–3 A.A B.B C.C D.D 5-Minute Check ft 2 Find the area of the circle. Round to the nearest tenth.
Applications of Quadratics
2.8 Related Rates.
9-5 Warm Up Lesson Presentation Lesson Quiz Effects of Changing
10-5 Effects of Changing Dimensions Proportionally
Example 1: Effects of Changing One Dimension
Applications of Proportions
MCHS ACT Review Plane Geometry. Created by Pam Callahan Spring 2013 Edition.
Warm-Up #2 Simplify the expression. 2. –6(m – 9) + 14m – 20
Lesson 1 Contents Example 1Identify Prisms and Pyramids Example 2Identify Diagonals and Skew Lines Example 3Analyze Real-World Drawings.
1.Tim is painting his living room with a new coffee colored Paint. There are 3 walls in the living room that measure 15 ft by 8 ft each and a fourth wall.
Geometry: Changing Dimensions
Copyright © Ed2Net Learning, Inc. 1 Ratios Grade 6.
MATHCOUNTS® 2000 National Competition Countdown Round.
PSSA Review Jeopardy Numbers Fractions and % Geometry Probability & Statistics Misc
Shape and Space Dilations The aim of this unit is to teach pupils to:
9-8 Circles and Circumference Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.
Objectives Use proportions to solve problems involving geometric figures. Use proportions and similar figures to measure objects indirectly.
Similar figures have exactly the same shape but not necessarily the same size. Corresponding sides of two figures are in the same relative position, and.
Comparing Ratios of Perimeters and Areas Of Similar Figures.
Area and Perimeter: Working Backwards. Challenge 1 The height of a rectangle is twice the base. The area of the rectangle is 450 in 2. What is the height?
Modeling with Linear Equations Introduction to Problem Solving.
Chapter 1.7 Notes: Find Perimeter, Circumference, and Area
PSSA Jeopardy Measurement Perimeter AreaVolume Similarity and Scale $100 $200 $300 $400.
How much fencing do we need for our pasture? How much border do we need for our nursery? Bessie got away again!
COUNTDOWN ROUND STATE How many of the first 100 positive integers are neither perfect squares nor perfect cubes?
Algebra I Review of Factoring Polynomials
Effects of Changing Dimensions Proportionally 9-5 Holt Geometry.
9-5 Warm Up Lesson Presentation Lesson Quiz Effects of Changing
Rates, Ratios, and Proportions
1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Algebra.
§7.5, Using Proportional Relationships
Quadratic Problems. The sides of an existing square warehouse are to be extended by 5 metres and 8 metres. The area of the new extended warehouse will.
Copyright © 2011 Pearson Education, Inc. Polynomials CHAPTER 5.1Exponents and Scientific Notation 5.2Introduction to Polynomials 5.3Adding and Subtracting.
+ Bell Work Solve 25 ⅚ -18 ⅜ 5 ⅛ + 7 ⅘. + Bell Work Answer 25 ⅚ -18 ⅜ 25 20/24 – 18 9/ /24 5 ⅛ + 7 ⅘ 5 5/ / /40.
Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft 3. ABC with.
Geometry Spring What is m 3? ° 2.75° 3.85° 4.90°
EXAMPLE 1 Rewrite a formula with two variables Solve the formula C = 2πr for r. Then find the radius of a circle with a circumference of 44 inches. SOLUTION.
Category 1 Category 2 Category 3 Category 4 Category
Holt Geometry Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft.
Similar Triangle Drill or pre-test Problem 1:In the triangle ABC shown below, A'C' is parallel to AC. Find the length y of BC' and the length x.
U5L3 - Circles and area. Albus the Dog Mr. Munnerlyn has a little fluffy dog named Albus. Sometimes when he goes out, he ties Albus up to a post in the.
Warm Up Find the area of each figure. Give exact answers, using  if necessary. 1. a square in which s = 4 m 2. a circle in which r = 2 ft 3. ABC with.
Lesson 3-7 Pages Using Formulas. What you will learn! 1. How to solve problems by using formulas. 2. How to solve problems involving the perimeters.
41. The circle graph below shows the percent of each food group that is recommended for diet. In an diet of 20 servings per day, how many daily servings.
Algebra. Factorials are noted by the expression n! and reads “n factorial”
Jeopardy $100 Similar? Missing SideScale Factor Vocabulary Word Problems $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300.
Holt McDougal Geometry 10-5 Effects of Changing Dimensions Proportionally 10-5 Effects of Changing Dimensions Proportionally Holt Geometry Warm Up Warm.
Measurement: Perimeter, Area, Surface Area, Volume & Similarity
Questions?  .
Similar Polygons.
Objectives Describe the effect on perimeter and area when one or more dimensions of a figure are changed. Apply the relationship between perimeter and.
Class Greeting.
9-5 Warm Up Lesson Presentation Lesson Quiz Effects of Changing
Presentation transcript:

1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by : B. 144 A. 4 C. 12 D. 2

Congrats!! Correct Answer Next Question

Wrong Answer Correct answer is 4 To make length and width similar they need to be reduced and increased by 2 cms respectively. The area of original structure is 140 sqcm and that of changed structure is 144 sqcm. Next Question

2. A motorcycle stunts man belonging to a fair, rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes. If the radius of the well is 5 meters then the distance traveled is: B. 3.5 kms A. 2.5 kms C. 4.5 kms D. 5.5 kms

Congrats!! Correct Answer Next Question

Wrong Answer Correct answer is 4.5 kms He travels 54 kms in 60 minutes hence in 5 minutes he will travel (54/60)X5=4.5 kms. Next Question

3. If 1 cm on a map corresponds to an actual distance of 40 kms. And the distance on the map between Bombay and Calcutta is 37.5 cms., the actual distance between them is : B kms A. 375 kms C kms D kms

Congrats!! Correct Answer Next Question

Wrong Answer Correct answer is 1500 kms 37.5 X 40 = 1500 Next Question

4. A box contains 90 mts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is : B kg A. 10 kg C. 11 kg D kg

Congrats!! Correct Answer Next Question

Wrong Answer Correct answer is 11.5 kgs (90X X150)=11500 gms Next Question

5. If the radius of a circle is increased by 20% then the area is increased by : B. 120% A. 44% C. 40% D. 144%

Congrats!! Correct Answer Next Question

Wrong Answer Correct answer is 44% In these types of question always square up the increased value of the given side to know the result. (12X12)-(10X10)=44 (assuming original radius to be 10 cms) Next Question

6. Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is B. 36 A. 120 C. 60 D. 24

Congrats!! Correct Answer Next Question

Wrong Answer Correct answer is 36 Total money they had = =200 Ratio of expense to Money = 120/200=60 Tom’s share= 100X0.6=60 Dick’s share = 60X0.6=36 Harry’s share = 40X0.6=24 Next Question

7. A plot of land is in the shape of a trapezium whose dimensions are given in the figure. Find the perimeter of the field. B. 64 m A. 50 m C. 72 m D. 84 m

Congrats!! Correct Answer Next Question

Wrong Answer Length of AC can be calculated as follows: Next Question DF 2 = =25 Or, DF=5, So, EC=30-9+5=16 BC 2 = =400 Or, BC=20 Perimeter= =72 metre

8. Four concentric ( having the same center ) circles with radii, x, 2x, 3x and 4x are drawn to form two rings A and B as shown in the figure. Ratio of the area of inner ring A to the area of outer ring B is B. 1:4 A. 1:2 C. 2:3 D. 3:7

Congrats!! Correct Answer Next Question

Wrong Answer Next Question Areas of four circles will be in the squared ratio of their radii as follows: 1:4:9:16 Ratio of Area of inner grey ring to that of inner circle = 1:3 Ratio of area of outer grey ring to that of inner circle = 1:7 (16-9=7) Required ratio = 3:7

9. If 3/p = 6 and 3/q = 15 then p - q = ? B. 2/5 A. 1/3 C. 3/10 D. 5/6

Congrats!! Correct Answer Next Question

Wrong Answer Solution: p=3/6 and q=3/15 So, p-q=3/6-3/15=3/10 Next Question

10. A father is three times as old as his son. After fifteen years the father will be twice as old as his son's age at that time. Hence the father's present age is B. 42 A. 36 C. 45 D. 48

Congrats!! Correct Answer Next Question

Wrong Answer Solution: Options A, B, and D will result in odd numbers after 15 is added to them. So calculate on option C. Father’s current age = 45, So son’s current age = 15 After 15 years father’s age= 60 Son’s age = 30 This combination matches the condition Next Question

11. If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is B. 11 : 12 A. 10 : 11 C. 12 : 13 D. 13 : 14

Congrats!! Correct Answer Next Question

Wrong Answer Solution: Subduplicate ratio for 169 and 196 = 13 : 14 Next Question

12. A semi-circle is surmounted on the side of a square. The ratio of the area of the semi-circle to the area of the square is B. 2 : Π A. 1 : 2 C. Π : 8 D. 8 : Π

Congrats!! Correct Answer Next Question

Wrong Answer Solution: Area of semi-circle = Πs 2 /4X2 Area of square = s 2 Ratio = Π : 8 Next Question

13. Which of the following is the greatest ? B. 3/5 of 25 A. 40% of 30 C. 6.5% of 200 D. 5 more than the square of 3

Congrats!! Correct Answer Next Question

Wrong Answer Solution: 40% of 30 = 12 3/5 of 25 = % of 200 = 13 5 more than square of 3 = 14 Next Question

14. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ? B. 30 minutes A. 20 minutes C. 45 minutes D. 60 minutes

Congrats!! Correct Answer Next Question

Wrong Answer Solution: Both taps take 20 minutes to fill 40% of tank One tap will take 40 minutes to fill 40% of tank It will take 60 minutes to fill remaining (60%) of the tank Next Question

15. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ? B. 30 minutes A. 20 minutes C. 45 minutes D. 60 minutes

Congrats!! Correct Answer Next Question

Wrong Answer Solution: Both taps take 20 minutes to fill 40% of tank One tap will take 40 minutes to fill 40% of tank It will take 60 minutes to fill remaining (60%) of the tank Next Question

16. If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of the decrease? B. 8 A. 4 C. 12 D. 16

Congrats!! Correct Answer Next Question

Wrong Answer Solution: (4/25)X100=16% Next Question

17. If a building b feet high casts a shadow f feet long, then, at the same time of day, a tree t feet high will cast a shadow how many feet long? B. fb/t A. ft/b C. b/ft D. tb/f

Congrats!! Correct Answer Next Question

Wrong Answer Solution: As b feet casts a shadow of f feet So, 1 ft will cast a shadow of f/b feet So, t feet will cast a shadow of ft/b Next Question

18. If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer? B. (x-y)(y-z) A. xyz C. x-yz D. x(y+z)

Congrats!! Correct Answer Next Question

Wrong Answer Solution: Solve by assuming values for x, y and z -1, -2 and -3 or any value (-1+2)(-2+3)=1X1=1 Next Question

19. At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple- scoop cones with three different ice cream flavors are available? B. 16 A. 12 C. 20 D. 24

Congrats!! Correct Answer Next Question

Wrong Answer Solution: There can be 10 combinations for one type of cone ABC, ABD, ABE, ACD, ACE, ADE BCD, BCE, BDE CDE Next Question

20. What is the greatest value of a positive integer n such that 3n is a factor of 1815? B. 18 A. 15 C. 30 D. 33

Congrats!! Correct Answer Next Question

Wrong Answer Solution: Only option A has 5 as one of its factors so check with this option Next Question