? Answer:
|
|
|
- Hilda Pope
- 6 years ago
- Views:
Transcription
1 A1 What is the value of ?
2 A2 What is the value of k? = 66 2 k.
3 A3 The four-digit integers 5634 and 6435 share the following two properties: (i) they consist of four consecutive digits in some order; (ii) they are divisible by 3. How many such four-digit integers are there?
4 A4 Shona, Jo and Bev run round a 400 m athletic track in the same direction. Shona runs at a constant speed of 3 m/s, Jo runs at a constant speed of 4 m/s whilst Bev runs at a constant speed of 5 m/s. They start together. How many metres in total do the three of them run before they are together again?
5 A5 The operation A B is defined by A B = 20A B 7AB. What is the value of 2 ( 0 (1 7) )?
6 A6 For how many integers n, is it true that 3 47 < 1 n < 4 37?
7 A7 In the triangle ABC, AB has length 7, BC has length 8 and C A has length 9. D is the midpoint of BC. What is the length of AD?
8 A8 For a > 0, the triangle with vertices at the points (0, a), (2a, 10) and (10, 0) has area 4a 2. What is the value of a?
9 A9 A circle with centre A and radius 12 has diameter BC. A second circle with diameter AC is drawn. The tangent shown from B to this circle meets circle centre A at the point D. What is the length of BD? Give your answer in fully simplified form. B A D C
10 A10 The positive integers x and y are such that 20x + 17y = What is the maximum value of x + y?
11 A11 abc is a three-digit prime. Its individual digits a, b and c are different primes. Write down all such three-digit primes abc.
12 A12 For each value of x, F(x) is defined to be the minimum value of x + 5, 2x 4 and 5x 7. What is the maximum value of F(x)?
13 B1 What is the value of ?
14 B2 What is the value of k? = 2k.
15 B3 For how many integer values of x is 24 x 6 an integer?
16 B4 A match takes place between two teams, each of 11 players. There are three referees. Before the match, each player exchanges handshakes with each of their opponents and each of the referees. What was the total number of handshakes?
17 B5 What is the sum of all digits that cannot be the units digit of the square of an integer?
18 B6 For which integer values of x is x 4 40x negative?
19 B7 In the triangle ABC, AB has length 20, BC has length 11 and CA has length 13. The line through A perpendicular to BC meets the line through B and C at D. What is the length of AD?
20 B8 The diagram shows three congruent rectangles of height 5 and breadth 13. As shown, two pairs of rectangles share a vertex. Two rectangles are placed so that a vertex of each lies on the long side of the third rectangle. What is the area of the region where all three rectangles overlap?
21 B9 A circle centre A has diameter BC. A second circle with diameter AC is drawn. The tangent shown from B to this circle meets circle centre A at the point D. BD has length 16. What is the length of the radius of the circle centre A? Give your answer in fully simplified form. B A D C
22 B10 The sum of all two-digit primes, in which all the individual digits are prime, is A. The sum of all single-digit primes is B. The integer A + B is the product of two primes p and q. What are p and q?
23 B11 a, b, c, d and e are nonzero digits. The five-digit integers abcde and edcba satisfy the multiplication sum shown alongside. a e b d c c d e 4 b a What is the digit c?
24 B12 For every value of x, f (x) satisfies the equation f (x) + 3 f (1 x) = 2x. What is the value of f (25)?
CONSTRUCTIONS Introduction Division of a Line Segment
216 MATHEMATICS CONSTRUCTIONS 11 111 Introduction In Class IX, you have done certain constructions using a straight edge (ruler) and a compass, eg, bisecting an angle, drawing the perpendicular bisector
MAKE GEOMETRIC CONSTRUCTIONS
MAKE GEOMETRIC CONSTRUCTIONS KEY IDEAS 1. To copy a segment, follow the steps given: Given: AB Construct: PQ congruent to AB 1. Use a straightedge to draw a line, l. 2. Choose a point on line l and label
Geometry. Oklahoma Math Day INSTRUCTIONS:
Oklahoma Math Day November 16, 016 Geometry INSTRUCTIONS: 1. Do not begin the test until told to do so.. Calculators are not permitted. 3. Be sure to enter your name and high school code on the answer
not to be republished NCERT CONSTRUCTIONS CHAPTER 10 (A) Main Concepts and Results (B) Multiple Choice Questions
CONSTRUCTIONS CHAPTER 10 (A) Main Concepts and Results Division of a line segment internally in a given ratio. Construction of a triangle similar to a given triangle as per given scale factor which may
DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.
DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent
Name: Date: Period: Chapter 11: Coordinate Geometry Proofs Review Sheet
Name: Date: Period: Chapter 11: Coordinate Geometry Proofs Review Sheet Complete the entire review sheet (on here, or separate paper as indicated) h in on test day for 5 bonus points! Part 1 The Quadrilateral
11 cm. A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm.
Diagram NOT accurately drawn 10 cm 11 cm 12 cm 3.5 cm A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm. A metal sphere of radius 3.5
Mathematics
Mathematics Total Score 80 Time 2 ½ hours Instructions Read the instructions against each question before answering them Logical explanations should be given wherever necessary If two questions have OR
ARML Practice Problems Arvind Thiagarajan, May 7, 2006
1 Geometry Problems ARML Practice Problems Arvind Thiagarajan, 005-006 May 7, 006 1. Find the coordinates of the point on the circle with equation (x 6) + (y 5) = 5 that is nearest the point (, 11). (TJ
Any questions about the material so far? About the exercises?
Any questions about the material so far? About the exercises? Here is a question for you. In the diagram on the board, DE is parallel to AC, DB = 4, AB = 9 and BE = 8. What is the length EC? Polygons Definitions:
Get Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7
Get Ready BLM... Solving Equations. Solve each equation. a) 4x + = 8y 5 = 6y + 7 c) z+ = z+ 5 d) d = 5 5 4. Write each equation in the form y = mx + b. a) x y + = 0 5x + y 7 = 0 c) x + 6y 8 = 0 d) 5 0
Geometry Period Unit 2 Constructions Review
Name 2-7 Review Geometry Period Unit 2 Constructions Review Date 2-1 Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties of equilateral
CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH Warm-Up: See Solved Homework questions. 2.2 Cartesian coordinate system
CHAPTER 2 REVIEW COORDINATE GEOMETRY MATH6 2.1 Warm-Up: See Solved Homework questions 2.2 Cartesian coordinate system Coordinate axes: Two perpendicular lines that intersect at the origin O on each line.
Mathematics Class 10 Board Sample paper-2
1 Mathematics Class 10 Board Sample paper-2 Time allowed: 3 hours Maximum Marks: 80 General Instructions: a) All questions are compulsory. b) The question paper consists of 30 questions divided into four
P1 REVISION EXERCISE: 1
P1 REVISION EXERCISE: 1 1. Solve the simultaneous equations: x + y = x +y = 11. For what values of p does the equation px +4x +(p 3) = 0 have equal roots? 3. Solve the equation 3 x 1 =7. Give your answer
Geometry Period Unit 2 Constructions Review
Name 2-7 Review Geometry Period Unit 2 Constructions Review Date 2-1 Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties of equilateral
Perimeter. Area. Surface Area. Volume. Circle (circumference) C = 2πr. Square. Rectangle. Triangle. Rectangle/Parallelogram A = bh
Perimeter Circle (circumference) C = 2πr Square P = 4s Rectangle P = 2b + 2h Area Circle A = πr Triangle A = bh Rectangle/Parallelogram A = bh Rhombus/Kite A = d d Trapezoid A = b + b h A area a apothem
14-9 Constructions Review. Geometry Period. Constructions Review
Name Geometry Period 14-9 Constructions Review Date Constructions Review Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties
EQUATIONS OF ALTITUDES, MEDIANS, and PERPENDICULAR BISECTORS
EQUATIONS OF ALTITUDES, MEDIANS, and PERPENDICULAR BISECTORS Steps to Find the Median of a Triangle: -Find the midpoint of a segment using the midpoint formula. -Use the vertex and midpoint to find the
Math-2 Lesson 6-3: Area of: Triangles, rectangles, circles and Surface Area of Pyramids
Math- Lesson 6-3: rea of: Triangles, rectangles, circles and Surface rea of Pyramids SM: Lesson 6-3 (rea) For the following geometric shapes, how would you answer the question; how big is it? Describe
Indiana State Math Contest Geometry
Indiana State Math Contest 018 Geometry This test was prepared by faculty at Indiana University - Purdue University Columbus Do not open this test booklet until you have been advised to do so by the test
Time: 3 hour Total Marks: 90
Time: 3 hour Total Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 34 questions divided into four sections A, B, C, and D. 3. Section A contains of 8
CBSE CLASS X MATHS , 1 2p
CBSE CLASS X MATHS -2013 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections A,B,C and D. (iii) Sections A contains 8 questions
Midpoint of a Line Segment Pg. 78 # 1, 3, 4-6, 8, 18. Classifying Figures on a Cartesian Plane Quiz ( )
UNIT 2 ANALYTIC GEOMETRY Date Lesson TOPIC Homework Feb. 22 Feb. 23 Feb. 24 Feb. 27 Feb. 28 2.1 2.1 2.2 2.2 2.3 2.3 2.4 2.5 2.1-2.3 2.1-2.3 Mar. 1 2.6 2.4 Mar. 2 2.7 2.5 Mar. 3 2.8 2.6 Mar. 6 2.9 2.7 Mar.
1 Triangle ABC is graphed on the set of axes below. 3 As shown in the diagram below, EF intersects planes P, Q, and R.
1 Triangle ABC is graphed on the set of axes below. 3 As shown in the diagram below, EF intersects planes P, Q, and R. Which transformation produces an image that is similar to, but not congruent to, ABC?
General Pyramids. General Cone. Right Circular Cone = "Cone"
Aim #6: What are general pyramids and cones? CC Geometry H Do Now: Put the images shown below into the groups (A,B,C and D) based on their properties. Group A: General Cylinders Group B: Prisms Group C:
GEOMETRY HONORS COORDINATE GEOMETRY PACKET
GEOMETRY HONORS COORDINATE GEOMETRY PACKET Name Period 1 Day 1 - Directed Line Segments DO NOW Distance formula 1 2 1 2 2 2 D x x y y Midpoint formula x x, y y 2 2 M 1 2 1 2 Slope formula y y m x x 2 1
Videos, Constructions, Definitions, Postulates, Theorems, and Properties
Videos, Constructions, Definitions, Postulates, Theorems, and Properties Videos Proof Overview: http://tinyurl.com/riehlproof Modules 9 and 10: http://tinyurl.com/riehlproof2 Module 9 Review: http://tinyurl.com/module9livelesson-recording
Shuttle. Senior Team Maths. Challenge 2017/18. National Final UKMT 2017/18 UKMT UKMT UKMT. United Kingdom Mathematics Trust. Pass on the value of a b.
The line x + 2y = T 3 meets the curve x2 + 2xy = T at the point (a, b). In the diagram, three vertices of the parallelogram ABCD lie on a circle so that BC and DC are tangents to the circle. A1 Pass on
February Regional Geometry Individual Test
Calculators are NOT to be used for this test. For all problems, answer choice E, NOTA, means none of the above answers is correct. Assume all measurements to be in units unless otherwise specified; angle
February Regional Geometry Team: Question #1
February Regional Geometry Team: Question #1 A = area of an equilateral triangle with a side length of 4. B = area of a square with a side length of 3. C = area of a regular hexagon with a side length
Unit 6: Connecting Algebra and Geometry Through Coordinates
Unit 6: Connecting Algebra and Geometry Through Coordinates The focus of this unit is to have students analyze and prove geometric properties by applying algebraic concepts and skills on a coordinate plane.
Geometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
Construction Instructions. Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment.
Construction Instructions Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment. 1.) Begin with line segment XY. 2.) Place the compass at point X. Adjust
Chapter 7 Coordinate Geometry
Chapter 7 Coordinate Geometry 1 Mark Questions 1. Where do these following points lie (0, 3), (0, 8), (0, 6), (0, 4) A. Given points (0, 3), (0, 8), (0, 6), (0, 4) The x coordinates of each point is zero.
From the SelectedWorks of Harish Chandra Rajpoot H.C. Rajpoot. Harish Chandra Rajpoot, HCR. Spring May 6, 2017
From the SelectedWorks of Harish Chandra Rajpoot H.C. Rajpoot Spring May 6, 2017 Mathematical analysis of disphenoid (isosceles tetrahedron (Derivation of volume, surface area, vertical height, in-radius,
Coordinate Geometry. Topic 1. DISTANCE BETWEEN TWO POINTS. Point 2. The distance of the point P(.x, y)from the origin O(0,0) is given by
Topic 1. DISTANCE BETWEEN TWO POINTS Point 1.The distance between two points A(x,, y,) and B(x 2, y 2) is given by the formula Point 2. The distance of the point P(.x, y)from the origin O(0,0) is given
Modeling with Geometry
Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs
Circumference of a Circle
Circumference of a Circle The line segment AB, AB = 2r, and its interior point X are given. The sum of the lengths of semicircles over the diameters AX and XB is 3πr; πr; 3 2 πr; 5 4 πr; 1 2 πr; Šárka
GEOMETRY COORDINATE GEOMETRY Proofs
GEOMETRY COORDINATE GEOMETRY Proofs Name Period 1 Coordinate Proof Help Page Formulas Slope: Distance: To show segments are congruent: Use the distance formula to find the length of the sides and show
Geometry Final Exam - Study Guide
Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are
no triangle can have more than one right angle or obtuse angle.
Congruence Theorems in Action Isosceles Triangle Theorems.3 Learning Goals In this lesson, you will: Prove the Isosceles Triangle Base Theorem. Prove the Isosceles Triangle Vertex Angle Theorem. Prove
1. Calculate the volume of the sphere below. Leave your answer in terms of. is drawn. Find the length of TA
Name: Regents Review Session One Date: Common Core Geometry 1. Calculate the volume of the sphere below. Leave your answer in terms of. 2. Given circle T below, a tangent VA inch is drawn. Find the length
m 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true?
1. In the figure below, p q. Which of the statements is NOT true? m 1 m 4 m 6 m 2 m 6 + m 3 = 180⁰ m 2 m 5 = 180⁰ 2. Look at parallelogram ABCD below. How could you prove that ABCD is a rhombus? Show that
Chapter 6.1 Medians. Geometry
Chapter 6.1 Medians Identify medians of triangles Find the midpoint of a line using a compass. A median is a segment that joins a vertex of the triangle and the midpoint of the opposite side. Median AD
Class, Take Your Seats CLUE Worksheet CLUE NAME Possible Ordered Pairs
Algebra / Geometry Class, Take Your Seats Answer Key CLUE Worksheet CLUE NAME Possible Ordered Pairs Archimedes (, 0), (-, 0) 3 Boole (-, ) 4 Cauchy (0, 3) 5 Dirichlet (, ), (-, 3) 6 Euler (, 0), (-, )
2003 Solutions Cayley Contest (Grade 10)
Canadian Mathematics Competition An activity of The Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 003 Solutions Cayley Contest (Grade 0) for The CENTRE for
Postulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a
1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd
Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second
NOTA" stands for none of these answers." Figures are not drawn to scale.
NOTA" stands for none of these answers." Figures are not drawn to scale. 1. If Kyle does not do his homework, then he is lazy. Kyle is lazy. Which of the following must be true? a) Kyle never does his
Unit 5 Test Date Block
Geometry B Name Unit 5 Test Date Block 60 ANSWERS Directions: This test is written to cover Unit 5. Please answer each question to the best of your ability. If multiple steps are required, it is expected
10.2 Trapezoids, Rhombi, and Kites
10.2 Trapezoids, Rhombi, and Kites Learning Objectives Derive and use the area formulas for trapezoids, rhombi, and kites. Review Queue Find the area the shaded regions in the figures below. 2. ABCD is
K.S.E.E.B., Malleshwaram, Bangalore SSLC Model Question Paper-2 (2015) MATHEMATICS
Max Marks: 80 No. of Questions: 40 K.S.E.E.B., Malleshwaram, Bangalore SSLC Model Question Paper- (015) MATHEMATICS 81E Time: Hours 45 minutes Code No. : 81E Four alternatives are given for the each question.
12/15/2015. Directions
Directions You will have 4 minutes to answer each question. The scoring will be 16 points for a correct response in the 1 st minute, 12 points for a correct response in the 2 nd minute, 8 points for a
Test Name: Chapter 3 Review
Test Name: Chapter 3 Review 1. For the following equation, determine the values of the missing entries. If needed, write your answer as a fraction reduced to lowest terms. 10x - 8y = 18 Note: Each column
Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets
Lesson 9: Coordinate Proof - Quadrilaterals Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of the way along each median
Maintaining Mathematical Proficiency
NBHCA SUMMER WORK FOR ALGEBRA 1 HONORS AND GEOMETRY HONORS Name 1 Add or subtract. 1. 1 3. 0 1 3. 5 4. 4 7 5. Find two pairs of integers whose sum is 6. 6. In a city, the record monthly high temperature
Period: Date Lesson 13: Analytic Proofs of Theorems Previously Proved by Synthetic Means
: Analytic Proofs of Theorems Previously Proved by Synthetic Means Learning Targets Using coordinates, I can find the intersection of the medians of a triangle that meet at a point that is two-thirds of
Chapter 1-3 Parallel Lines, Vocab, and Linear Equations Review
Geometry H Final Exam Review Chapter 1-3 Parallel Lines, Vocab, and Linear Equations Review 1. Use the figure at the right to answer the following questions. a. How many planes are there in the figure?
TOURNAMENT OF THE TOWNS, Glossary
TOURNAMENT OF THE TOWNS, 2003 2004 Glossary Absolute value The size of a number with its + or sign removed. The absolute value of 3.2 is 3.2, the absolute value of +4.6 is 4.6. We write this: 3.2 = 3.2
Geometry - Chapter 1 - Corrective #1
Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two
Mathematics Class 10 Board Sample paper-1
1 Mathematics Class 10 Board Sample paper-1 Time allowed: 3 hours Maximum Marks: 80 General Instructions: a) All questions are compulsory. b) The question paper consists of 30 questions divided into four
Select the best answer. Bubble the corresponding choice on your scantron. Team 13. Geometry
Team Geometry . What is the sum of the interior angles of an equilateral triangle? a. 60 b. 90 c. 80 d. 60. The sine of angle A is. What is the cosine of angle A? 6 4 6 a. b. c.. A parallelogram has all
Geometric Constructions
Materials: Compass, Straight Edge, Protractor Construction 1 Construct the perpendicular bisector of a line segment; Or construct the midpoint of a line segment. Construction 2 Given a point on a line,
January Regional Geometry Team: Question #1. January Regional Geometry Team: Question #2
January Regional Geometry Team: Question #1 Points P, Q, R, S, and T lie in the plane with S on and R on. If PQ = 5, PS = 3, PR = 5, QS = 3, and RT = 4, what is ST? 3 January Regional Geometry Team: Question
a) 1/3 area of triangle ABC b) 3.6 c) 3 d) e) Euclid s fifth postulate is equivalent to: Given a line and a point not on that line
1. Given is a right triangle with AD a perpendicular from the right angle to the hypotenuse, find the length of AD given AB = 6, BC = 10 and AC = 8. B D A C a) 7.5 b) 6.5 c) 4.8 d) e) 2. Using the figure
Downloaded from Class XI Chapter 12 Introduction to Three Dimensional Geometry Maths
A point is on the axis. What are its coordinates and coordinates? If a point is on the axis, then its coordinates and coordinates are zero. A point is in the XZplane. What can you say about its coordinate?
GCSE Mathematics. Higher Tier. Paper 4G (Calculator) Time: 1 hour and 45 minutes. For Edexcel. Name
For Edexcel Name GCSE Mathematics Paper 4G (Calculator) Higher Tier Time: 1 hour and 45 minutes Materials required Ruler, protractor, compasses, pen, pencil, eraser. Tracing paper may be used. Instructions
15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect
Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways
Given the following information about rectangle ABCD what triangle criterion will you use to prove ADC BCD.
A B D Given the following information about rectangle ABCD what triangle criterion will you use to prove ADC BCD. ADC and BCD are right angles because ABCD is a rectangle ADC BCD because all right angles
Area Attack! I. Calculate
Area Attack! I. Calculate 1. The figure below shows two squares. The sides of the smaller square are 3'', those of the larger square, 4''. Point D is the corner of the large square and the center of the
Alternate Angles. Clip 67. Mathswatch
Clip 67 Alternate Angles ) Line PQ is parallel to line RS If angle PQR is equal to 6 a) What is the size of angle QRS? b) Give a reason for ou answer. P 6 Q R S ) Line DCE is parallel to line AB a) Find
Practice Test Answer and Alignment Document Mathematics: Geometry Performance Based Assessment - Online
The following pages include the answer key for all machine-scored items, followed by the rubrics for the hand-scored items. - The rubrics show sample student responses. Other valid methods for solving
MENSURATION-I (Area & Perimeter) In this chapter, we shall be dealing with plane figures of various shapes finding their sides, perimeters and
INTRODUCTION In this chapter, we shall be dealing with plane figures of various shapes finding their sides, perimeters and areas. AREA The area of any figure is the amount of surface enclosed within its
S56 (5.3) Higher Straight Line.notebook June 22, 2015
Daily Practice 5.6.2015 Q1. Simplify Q2. Evaluate L.I: Today we will be revising over our knowledge of the straight line. Q3. Write in completed square form x 2 + 4x + 7 Q4. State the equation of the line
Education Resources. This section is designed to provide examples which develop routine skills necessary for completion of this section.
Education Resources Straight Line Higher Mathematics Supplementary Resources Section A This section is designed to provide examples which develop routine skills necessary for completion of this section.
The following pages include the answer key for all machine-scored items, followed by the rubrics for the hand-scored items.
Practice Test Answer and Alignment Document Mathematics Geometry Online The following pages include the answer key for all machine-scored items, followed by the rubrics for the hand-scored items. The rubrics
Saturday, November 13, Test Version A
The Second Annual Mat h Pr iz e f o r Gi r l s Saturday, November 3, 200 test booklet Test Version A Directions. Do not open this test until your proctor instructs you to. 2. Fill out the top of your answer
HIGH SCHOOL. Geometry. Soowook Lee
HIGH SCHOOL Geometry Soowook Lee Chapter 4 Quadrilaterals This chapter will cover basic quadrilaterals, including parallelograms, trapezoids, rhombi, rectangles, squares, kites, and cyclic quadrilaterals.
Properties of a Circle Diagram Source:
Properties of a Circle Diagram Source: http://www.ricksmath.com/circles.html Definitions: Circumference (c): The perimeter of a circle is called its circumference Diameter (d): Any straight line drawn
FGCU Invitational Geometry Individual 2014
All numbers are assumed to be real. Diagrams are not drawn to scale. For all questions, NOTA represents none of the above answers is correct. For problems 1 and 2, refer to the figure in which AC BC and
GEOMETRY POSTULATES AND THEOREMS. Postulate 1: Through any two points, there is exactly one line.
GEOMETRY POSTULATES AND THEOREMS Postulate 1: Through any two points, there is exactly one line. Postulate 2: The measure of any line segment is a unique positive number. The measure (or length) of AB
Date Lesson Text TOPIC Homework. SA of Prisms & Pyramids Pg. 441 # 1, 3, 5a, 7b, 11bc, 16. Surface Area of Cylinders WS 6.6
UNIT 6 MEASUREMENT Date Lesson Text TOPIC Homework May 6.1 8.1 May 4 6. 8. The Pythagorean Theorem Pg. 4 # 1ac, ac, ab, 4ac, 5, 7, 8, 10 Perimeter and Area (NO CIRCLES) Pg. 4 # 1acde, abdf,, 4, 11, 14,
CBSE SAMPLE PAPERS SUMMATIVE ASSESSMENT-II (MATHS) CLASS 10
CBSE SAMPLE PAPERS SUMMATIVE ASSESSMENT-II (MATHS) CLASS 10 Time: 3 Hrs Max Marks: 90 General Instructions: A) All questions are compulsory. B) The question paper consists of 34 questions divided into
CIRCLE. Circle is a collection of all points in a plane which are equidistant from a fixed point.
CIRCLE Circle is a collection of all points in a plane which are equidistant from a fixed point. The fixed point is called as the centre and the constant distance is called as the radius. Parts of a Circle
LEARNING MATERIAL CLASS - X
MINIMUM TARGET 40 LEARNING MATERIAL CLASS - X Kindly select 10 units as per choice of the student Topics Marks 1. Irrationality of numbers (5 questions) 3. Polynomials(long division) (5 questions) 4 3.
Geometry. Geometry is one of the most important topics of Quantitative Aptitude section.
Geometry Geometry is one of the most important topics of Quantitative Aptitude section. Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles are always equal. If any
CCGPS End of Course Diagnostic Test
CCGPS End of Course Diagnostic Test Revised 12/29/13 1:19 pm 1. is a dilation of triangle by a scale factor of ½. The dilation is centered at the point ( 5, 5). Which statement below is true? 2. is a dilation
Vectors in Geometry. 1.5 The diagram below shows vector v 7, 4 drawn in standard position. Draw 3 vectors equivalent to vector v.
Vectors in Geometry 1. Draw the following segments using an arrow to indicate direction: a. from (3, 1) to (10, 3) b. from ( 5, 5) to (2, 9) c. from ( 4.2, 6.1) to (2.8, 2.1) d. What do they have in common?
SYSTEMS OF LINEAR EQUATIONS
SYSTEMS OF LINEAR EQUATIONS A system of linear equations is a set of two equations of lines. A solution of a system of linear equations is the set of ordered pairs that makes each equation true. That is
SHAPE, SPACE and MEASUREMENT
SHAPE, SPACE and MEASUREMENT Types of Angles Acute angles are angles of less than ninety degrees. For example: The angles below are acute angles. Obtuse angles are angles greater than 90 o and less than
Mgr. ubomíra Tomková GEOMETRY
GEOMETRY NAMING ANGLES: any angle less than 90º is an acute angle any angle equal to 90º is a right angle any angle between 90º and 80º is an obtuse angle any angle between 80º and 60º is a reflex angle
Angles. An angle is: the union of two rays having a common vertex.
Angles An angle is: the union of two rays having a common vertex. Angles can be measured in both degrees and radians. A circle of 360 in radian measure is equal to 2π radians. If you draw a circle with
Theta Circles & Polygons 2015 Answer Key 11. C 2. E 13. D 4. B 15. B 6. C 17. A 18. A 9. D 10. D 12. C 14. A 16. D
Theta Circles & Polygons 2015 Answer Key 1. C 2. E 3. D 4. B 5. B 6. C 7. A 8. A 9. D 10. D 11. C 12. C 13. D 14. A 15. B 16. D 17. A 18. A 19. A 20. B 21. B 22. C 23. A 24. C 25. C 26. A 27. C 28. A 29.
Geometry--Unit 10 Study Guide
Class: Date: Geometry--Unit 10 Study Guide Determine whether each statement is true or false. If false, give a counterexample. 1. Two different great circles will intersect in exactly one point. A) True
Mathematical derivations of some important formula in 2D-Geometry by HCR
From the SelectedWorks of Harish Chandra Rajpoot H.C. Rajpoot Summer March 31, 2018 Mathematical derivations of some important formula in 2D-Geometry by HCR Harish Chandra Rajpoot, HCR Available at: https://works.bepress.com/harishchandrarajpoot_hcrajpoot/61/
Geometry Definitions and Theorems. Chapter 9. Definitions and Important Terms & Facts
Geometry Definitions and Theorems Chapter 9 Definitions and Important Terms & Facts A circle is the set of points in a plane at a given distance from a given point in that plane. The given point is the
10.6 Area and Perimeter of Regular Polygons
10.6. Area and Perimeter of Regular Polygons www.ck12.org 10.6 Area and Perimeter of Regular Polygons Learning Objectives Calculate the area and perimeter of a regular polygon. Review Queue 1. What is
Finnish National High School Mathematics Competition
Finnish National High School Mathematics Competition Final Rounds 997 008 The Finnish National High School Mathematics Competition is organized by MAOL, the The Finnish Association of Teachers of Mathematics,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for