# PRACTICE TEST 1 Math Level IC

Size: px
Start display at page:

Transcription

1 SOLID VOLUME OTHER REFERENCE DATA Right circular cone L = cl V = volume L = lateral area r = radius c = circumference of base h = height l = slant height Sphere S = 4 r 2 V = volume r = radius S = surface area Pyramid V = volume B = area of base h = height PRACTICE TEST 1 Math Level IC 1. Which of the following illustrates a distributive principle? (A) = (B) (3 + 4) + 5 = 3 + (4 + 5) (C) (6 2) + 4 = (2 6) + 4 (D) 6 (2 4) = (4 2) 6 6 (2 + 4) = In the figure, AC = 9, BC = 3, and D is 3 times as far from A as from B. What is BD? (A) 6 (B) 9 (C) 12 (D) If n is a positive integer, which of the following is always odd? (A) 19n + 6 (B) 19n + 5 (C) 19n (D) 18n n + 5

2 4. Let R be the set of all numbers r such that 5 < r < 8. Let S be the set of all numbers s such that 3 < s < 10. The intersection, T, of R and S is the set of all numbers t such that (A) 5 < t < 3 (B) 5 < t < 8 (C) 0 < t < 8 (D) 3 < t < 8 8 < t < If b > 1 and b y = 1.5, then b 2y = (A) 3.0 (B) 2.25 (C) (D) 6. (y 2) (y + 7) 2 < 0, if and only if (A) y < 2 (B) 7 < y < 2 (C) y > 7 (D) y < 2 and y 7 2 < y < 7 and y > 7 7. A computer is programmed to add 3 to the number N, multiply the result by 3, subtract 3, and divide this result by 3. The computer answer will be (A) N + 1 (B) N + 2 (C) N (D) N 2 8. where (x 5) = (A) (B) (C) (D) none of these GO ON TO THE NEXT PAGE ARCO SAT II Math

3 9. If (A) (B) (C) (D) (A) (B) (C) 3 (D) 1 3y If I varies inversely as d 2 and I = 20 when d = 3, what is I when d = 10? (A) 6 (B) (C) 18 (D) If y is the measure of an acute angle such that sin, tan y = (A) (B) (C) (D)

4 13. How many degrees between the hands of a clock at 3:40? (A) 150 (B) 145 (C) 140 (D) The legs of a right triangle are in the ratio of 1:2. If the area of the triangle is 25, what is the hypotenuse? (A) (B) (C) 10 (D) 15. If, then x 2 2x + 1 equals (A) (B) 2 1 (C) 2 (D) 16. A point is 17 in. from the center of a circle of radius 8 in. The length of the tangent from the point to the circle is (A) (B) 15 (C) 9 (D) 17. In the formula, if C = and L = , f = (A) (B) (C) (D) What is the approximate slope of the line 3 14x 3y 7? (A) 1.15 (B) 1.25 (C) 1.35 (D) GO ON TO THE NEXT PAGE ARCO SAT II Math

5 19. How many numbers in the set { 8, 5, 0, 10, 20} satisfy the condition x 5 <11? (A) none (B) one (C) two (D) three four 20. The graph of has its minimum value at which approximate value of x? (A).83 (B) 1.12 (C) 1.21 (D) In PQR, if the measure of Q is 50 and the measure of P is p, and if is longer than, then (A) 0 < p < 40 (B) 0 < p < 80 (C) 40 < p < 80 (D) 80 < p < < p < Three parallel lines are cut by three nonparallel lines. What is the maximum number of points of intersection of all six lines? (A) 10 (B) 11 (C) 12 (D) In figure 23, m QSR = 30 in circle O. What is the measure of angle QPR? Fig. 23 (A) 10 (B) 15 (C) 20 (D) 25 cannot be determined from the information given

6 24. If f(x) = x 3 3 and g(x) = 7x 5, what is the approximate value of f(g(3.9))? (A) (B) (C) (D) For what value(s) of y on the curve shown in figure 25 does y = 4x? Fig. 25 (A) no value (B) +4 only (C) +3 only (D) 5 only +4 and In figure 26, is a diameter of the semicircle. If RS = 2 and ST = 3, then the area of the semicircle is Fig. 26 (A) (B) (C) (D) cannot be determined from the information given GO ON TO THE NEXT PAGE ARCO SAT II Math

7 27. A triangle with vertices (0, 0), (4, 3), and ( 3, 4) belongs to which of the following classes? I Scalene Triangles II Isosceles Triangles III Right Triangles IV Equilateral Triangles (A) none (B) I only (C) II and III only (D) IV only III only 28. The equation of the graph in figure 28 is (A) y = x (B) y = x (C) y = x (D) y = 2x y = x 2 Fig What is the approximate length of the line segment joining the points N (7, 2) and J ( 2, 7)? (A) 3.16 (B) 9.83 (C) (D) If the graph of the equation x + y 8 + 4k = 0 passes through the origin, the value of k is (A) 2 (B) 2 (C) 0 (D) 1 1

8 31. If x = 8, the value of x 2/3 + 2x 0 is (A) 2 (B) 4 (C) 4 (D) If, x = 33. (A) 0 (B) 1 (C) 1 (D) 2 2 The equation expressing the relationship between x and y in the above table is (A) y = 2x + 1 (B) y = x + 2 (C) y = 2x 1 (D) 2x + y = 7 none of these 34. The graph of the equation x 2 2y 2 = 8 is (A) a circle (B) an ellipse (C) a hyperbola (D) a parabola two straight lines 35. The fraction is equal to (A) (B) (C) (D) GO ON TO THE NEXT PAGE ARCO SAT II Math

9 36. For what values of K does the equation Kx 2 4x + K = 0 have real roots? (A) +2 and 3 (B) 2 K 2 (C) K 2 (D) K 2 4 K The radiator of a car contains 10 quarts of a 20% solution of alcohol. If 2 quarts of water are added, what percent of the resulting solution is alcohol? (A) 18% (B) % (C) % (D) 14% % 38. Express the infinite decimal as a common fraction. (A) (B) (C) (D) 39. are tangent to circle O. If angle P measures 70, how many degrees are in minor arc QT? (A) 140 (B) 125 (C) 120 (D)

10 40. A cubic foot of water is poured into a rectangular aquarium with base 15 in. by 18 in. To what height in inches does the water rise? (A) (B) 6 (C) (D) A car drives a distance of d miles at 30 mph and returns at 60 mph. What is its average rate for the round trip? (A) 45 mph (B) 43 mph (C) 40 mph (D) mph mph 42. If, what is the approximate sum of the roots? (A) 1.53 (B) 1.18 (C).65 (D) A circle is inscribed in a triangle with sides 9, 12, and 15. The radius of the circle is (A) 2 (B) 3 (C) 3.5 (D) The interior angles of a regular polygon are each 165. How many sides does the polygon have? (A) 17 (B) 20 (C) 22 (D) GO ON TO THE NEXT PAGE ARCO SAT II Math

11 45. Find the root(s) of the equation. (A) 11 (B) 4 (C) 4 and 11 (D) 4 none of these 46. Which of the following is the approximate equation of a line perpendicular to and passing through the point (A) (B) (C) (D) 47. In how many points do the graphs of the equations x 2 + y 2 = 25 and y 2 = 4x intersect? (A) 0 (B) 1 (C) 2 (D) In right triangle ABC,. If AB = 6, AC = 8, BC = 10, and DE = 4, find EC. (A) (B) (C) 5 (D) 6

12 49. A man can do a job in h hours alone and his son can do it in 2h hours alone. Together, how many hours will it take them to do the job? (A) 3h (B) (C) (D) 50. The diagonals of a parallelogram divide the figure into four triangles that are (A) congruent (B) similar (C) equal in area (D) isosceles none of these GO ON TO THE NEXT PAGE ARCO SAT II Math

13 PRACTICE TEST 1 Answer Key Math Level IC 1. E 2. A 3. E 4. D 5. D 6. D 7. B 8. B 9. C 10. D 11. D 12. B 13. E 14. A 15. C 16. B 17. C 18. B 19. D 20. B 21. B 22. C 23. E 24. D 25. E 26. D 27. C 28. A 29. E 30. B 31. D 32. E 33. C 34. C 35. D 36. B 37. B 38. E 39. D 40. A 41. C 42. E 43. B 44. D 45. B 46. E 47. C 48. A 49. D 50. C SOLUTIONS 1. The correct answer is. The distributive principle refers to the product of a single quantity and sum of quantities; that is, a(b + c) = ab + ac. 2. The correct answer is (A). Let BD = x. Then AD = 3BD or 12 + x = 3x. Subtract x from both sides. 3. The correct answer is. Examine each choice in turn. (A) 19n + 6: If n is even, 19n is even, and the sum of two even numbers is even. (B) 19n + 5: If n is odd, 19n is odd, and the sum of two odd numbers is even. (C) 19n 2 + 5: If n is odd, n 2 is odd, 19n 2 is odd, and the sum of two odd numbers is even. (D) 18n + 4: 18n is always even, and the sum of two even numbers is even. 18n + 5: 18n is always even, and the sum of an even and an odd number is odd.

14 4. The correct answer is (D). Put both sets on a number line and determine their intersection. The heavy line is the intersection of the sets 3 < t < The correct answer is (D). These equalities follow from the laws of exponents. Substitute b y = The correct answer is (D). (y 2)(y + 7) 2 < 0 (y + 7) 2 is always a positive quantity when y 7. (y 2) must then be a negative quantity to make the above product negative. y 2<0 y<2 7. The correct answer is (B). 8. The correct answer is (B). Factor wherever possible. 4 2 GO ON TO THE NEXT PAGE ARCO SAT II Math

15 9. The correct answer is (C). Multiply both sides by (r 1). Add S and rl to both sides. Divide both sides by S L. 10. The correct answer is (D). 11. The correct answer is (D). where K is the constant of proportionality. To determine K, substitute I = 20 and d = 3. The formula then becomes Substitute d = 10 in the formula.

16 12. The correct answer is (B). Construct a right triangle with a hypotenuse 5 and leg a opposite y. By the Pythagorean theorem, the leg adjacent to y becomes. 13. The correct answer is. Consider the position of the hands at 3 o clock. The large hand is at 12 and the small hand at 3. At 3:40 the large hand is at 8 and the small hand has moved of the distance between the 3 and 4. Since there are 30 between the 3 and the 4, the small hand has moved. Between the 3 and the 8 there are 5 30 = 150 of arc. Therefore at 3:40, the angle between the hands is = 130. GO ON TO THE NEXT PAGE ARCO SAT II Math

17 14. The correct answer is (A). Designate the legs of the right triangle by x and 2x. The area of the triangle is then If the legs are 5 and 10, the hypotenuse y is y y The correct answer is (C). Substitute in the expression x 2 2x The correct answer is (B). Let the tangent PT = x; then OP = 17 and OT = 8. The radius so that OPT is a right. by the Pythagorean Theorem

18 17. The correct answer is (C). Substitute, When we divide powers of the same base, we subtract exponents. 18. The correct answer is (B) x 3y 7 3y 14x 7 y slope The correct answer is (D). x 5 < 11 is equivalent to x x 5 < 11 when x 5 > 0 or x > 5. Thus x < 16 when x > 5 or 5 < x < 16. Only the value x = 10 in the given set is in this interval. x 5 is equivalent to (x 5) when x 5 < 0 or x < 5. Solving the inequality 5 x < 11, we get x < 6 or x > 6 when x < 5. Or 6 < x < 5. The values x = 5 and x = 0 in the given set lie in this interval. Hence, there are three such values. An alternate method of solution would be to list each of the 5 values of the given set in the inequality. 8 5 = 13 = 13, which is not less than 11, etc. 20. The correct answer is (B). The x value of the minimum point is x b 2a GO ON TO THE NEXT PAGE ARCO SAT II Math

19 21. The correct answer is (B). If PQ > PR, then m R > m Q, since the larger angle lies opposite the longer side. If m R > 50, and m Q = 50, then the measure of angle p is less than 80, since there are 180 in the sum of the measures of the angles of a triangle. However, m R may have any value less than 130, in which case p must be greater than but not equal to 0. 0 < p < The correct answer is (C). The three parallel lines intersect each of the three nonparallel lines in 3 points, making a total of 9. The 3 nonparallel lines form a triangle, giving us 3 more points of intersection at the vertices. Hence, there are a total of The correct answer is. In order to determine angle P from the figure given in the problem, we have to know both arcs intercepted on the circle by PQ and PR. Arc QR is apparently 60, but there is no way of determining arc ST. Hence P cannot be determined from the given information. 24. The correct answer is (D).

20 25. The correct answer is. Draw the line graph of y = 4x on the same set of axes. This line passes through the origin and has a slope of 4. It thus intersects the curve in (1,4) and ( 3, 12). Thus the desired values of y are +4 and The correct answer is (D). Angle S is a right angle since it is inscribed in a semicircle. Thus RST is a right with RT the hypotenuse. By the Pythagorean Theorem 27. The correct answer is (C). GO ON TO THE NEXT PAGE ARCO SAT II Math

21 28. The correct answer is (A). The line in the first quadrant is the graph of y = x for x 0. The line in the second quadrant is the graph of y = x for x 0. y = x means y = x for x 0 and y = x for x 0. Hence, the equation is y = x. 29. The correct answer is. 30. The correct answer is (B). If the graph of the equation passes through the origin, the values x = 0, y = 0 must satisfy the equation. Substitute. 31. The correct answer is (D). Substitute 8 for x in x 2/3 + 2x The correct answer is. Set the exponents equal. 3x + 10 = 2x 5x = 10 x = 2

22 33. The correct answer is (C). Make a table of x and y (change in x and y). Since the slope is constant, the graph is a straight line of the form y = 2x + b. Substituting x = 2, y = 3 we see b = 1. Hence, the equation is y = 2x The correct answer is (C). Divide both sides by 8. This now resembles the standard form which is the equation of a hyperbola. 35. The correct answer is (D). Rationalize the denominator by multiplying numerator and denominator by. 36. The correct answer is (B). For the equation Kx 2 4x + K = 0 to have real roots, its discriminant must be K K 2 4 K 2 This is equivalent to K 2 or 2 K The correct answer is (B). In the original solution there are = 2 quarts of alcohol. After 2 quarts of water are added, the resulting solution has the same 2 quarts of alcohol in 12 quarts of solution. GO ON TO THE NEXT PAGE ARCO SAT II Math

23 38. The correct answer is. Write as the sum of the terms of an infinite geometric progression. 39. The correct answer is (D). m P 1 2 QRT QST Let m QST = xº Then m QRT = 360 xº Substitute in the first equation. Combine terms and multiply by The correct answer is (A). Assume the water rises to a height of x inches. Then x = (1 cu ft).

24 41. The correct answer is (C). Average rate= The time going is and the time coming is. The total time is Average rate= 42. The correct answer is. 43. The correct answer is (B). Since 15 2 = , PQR is a right triangle with a right angle at R. OX = OY = radius of the inscribed circle, and since OXRY is a square the radius also equals RX or RY. Let RX = RY = r. Then PX = 9 r = PZ and QY = 12 r = QZ GO ON TO THE NEXT PAGE ARCO SAT II Math

25 44. The correct answer is (D). If each interior angle is 165, each exterior angle is = 15. Since the sum of the exterior angles is 360, there are =24 exterior angles and therefore 24 sides. 45. The correct answer is (B). Subtract y from both sides. Square both sides. y + 5 = (7 y) 2 = 49 14y + y 2 Subtract (y + 5) from both sides, Substituting in the original equation, we see that only y = 4 checks. Another method would be to substitute each answer choice into the original equation and see which one works. 46. The correct answer is. First find the slope of the given line Multiply the entire equation by (.47) (.53).53x +.47y = (.47) (.53) y = 1.128x +.53 A perpendicular line has the negative reciprocal as its slope Through the point

26 47. The correct answer is (C). By substituting y 2 = 4x into x 2 + y 2 = 25, we obtain x 2 + 4x 25 = 0 Solve by the quadratic formula. One root is positive and the other negative. Since, the negative value of x gives us imaginary values of y, but the positive value of x gives us two real values of y. Hence, there are two points of intersection. or x 2 + y 2 = 25 is a circle with center at the origin and a radius of 5 y 2 = 4x is a parabola with vertex at (0,0) open to the right 2 points of intersection 48. The correct answer is (A). Since ABC ~ EDC, we may obtain the proportion Cross multiplying GO ON TO THE NEXT PAGE ARCO SAT II Math

27 49. The correct answer is (D). The man does of the job in 1 hour. The son does of the job in 1 hour. Together they do of the job in 1 hour. Therefore, in hours they will do complete job together. Therefore, it takes them hours. 50. The correct answer is (C). PQT RST and PST RQT In PQS, is a median, since the diagonals of a parallelogram bisect each other. Consequently, PST and PTQ are equal in area as they have equal bases (ST = TQ) and a common altitude (perpendicular from P to ). Therefore, all four triangles are equal in area.

### QUESTION BANK ON STRAIGHT LINE AND CIRCLE

QUESTION BANK ON STRAIGHT LINE AND CIRCLE Select the correct alternative : (Only one is correct) Q. If the lines x + y + = 0 ; 4x + y + 4 = 0 and x + αy + β = 0, where α + β =, are concurrent then α =,

### ( 3x 2 y) 6 (6x 3 y 2 ) x 4 y 4 b.

1. Simplify 3 x 5 4 64x Algebra Practice Problems for MDPT Pre Calculus a. 1 18x 10 b. 7 18x 7 c. x 6 3x d. 8x 1 x 4. Solve 1 (x 3) + x 3 = 3 4 (x 1) + 1 9 a. 77 51 b. 3 17 c. 3 17 d. 3 51 3. Simplify

### (D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2

CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5

### Pre-Algebra (7) B Mathematics

Course Overview Students will develop skills in using variables, evaluating algebraic expressions by the use of the order of operations, solving equations and inequalities, graphing linear equations, functions

### 1 What is the solution of the system of equations graphed below? y = 2x + 1

1 What is the solution of the system of equations graphed below? y = 2x + 1 3 As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A'B'C'D'E'F'. y = x 2 + 2x

### 0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below?

0110ge 1 In the diagram below of trapezoid RSUT, RS TU, X is the midpoint of RT, and V is the midpoint of SU. 3 Which expression best describes the transformation shown in the diagram below? If RS = 30

### Geometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems

Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary

### Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.

Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12

### Since x + we get x² + 2x = 4, or simplifying it, x² = 4. Therefore, x² + = 4 2 = 2. Ans. (C)

SAT II - Math Level 2 Test #01 Solution 1. x + = 2, then x² + = Since x + = 2, by squaring both side of the equation, (A) - (B) 0 (C) 2 (D) 4 (E) -2 we get x² + 2x 1 + 1 = 4, or simplifying it, x² + 2

### 0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.

Geometry Regents Exam 011 011ge 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would

### Name: GEOMETRY: EXAM (A) A B C D E F G H D E. 1. How many non collinear points determine a plane?

GMTRY: XM () Name: 1. How many non collinear points determine a plane? ) none ) one ) two ) three 2. How many edges does a heagonal prism have? ) 6 ) 12 ) 18 ) 2. Name the intersection of planes Q and

### a. 1 b. i c. 1-2i d. i e. NOTA

Theta Individual State Convention 017 1. 15 1 16 15 i i i i i =? a. 1 b. i c. 1- i d. i e. NOTA. Mr. Lu has \$.7 in pennies, nickels, dimes, quarters and half dollars. If he has an equal number of coins

A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Addends The numbers being added in an addition problem Addition principle

### 0609ge. Geometry Regents Exam AB DE, A D, and B E.

0609ge 1 Juliann plans on drawing ABC, where the measure of A can range from 50 to 60 and the measure of B can range from 90 to 100. Given these conditions, what is the correct range of measures possible

A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The

Chapter 3 Cumulative Review Answers 1a. The triangle inequality is violated. 1b. The sum of the angles is not 180º. 1c. Two angles are equal, but the sides opposite those angles are not equal. 1d. The

### REQUIRED MATHEMATICAL SKILLS FOR ENTERING CADETS

REQUIRED MATHEMATICAL SKILLS FOR ENTERING CADETS The Department of Applied Mathematics administers a Math Placement test to assess fundamental skills in mathematics that are necessary to begin the study

### CALCULUS BASIC SUMMER REVIEW

NAME CALCULUS BASIC SUMMER REVIEW Slope of a non vertical line: rise y y y m run Point Slope Equation: y y m( ) The slope is m and a point on your line is, ). ( y Slope-Intercept Equation: y m b slope=

### Chapter 10. Properties of Circles

Chapter 10 Properties of Circles 10.1 Use Properties of Tangents Objective: Use properties of a tangent to a circle. Essential Question: how can you verify that a segment is tangent to a circle? Terminology:

### Catchup Math and the Common Core Standards. Spring 2011

Catchup Math and the Common Core Standards Spring 2011 The Catchup Math curriculum addresses nearly all the Common Core Mathematics Standards for Grades 6 8 and High School (including most of the optional

### 02)

GRE / GMATmath,! abscissa, scalene, intercept, markup, such that, break even. abscissa. (4, 2) 4abscissa, 2ordinate absolute value acre add adjacent angles altitude ; angle () acute angle (90 ) right angle

### 221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM

Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked

### Algebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA

Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully

Common Core Edition Table of Contents ALGEBRA 1 Chapter 1 Foundations for Algebra 1-1 Variables and Expressions 1-2 Order of Operations and Evaluating Expressions 1-3 Real Numbers and the Number Line 1-4

### Answer Explanations for: ACT June 2012, Form 70C

Answer Explanations for: ACT June 2012, Form 70C Mathematics 1) C) A mean is a regular average and can be found using the following formula: (average of set) = (sum of items in set)/(number of items in

### Chapter 2 Polynomial and Rational Functions

SECTION.1 Linear and Quadratic Functions Chapter Polynomial and Rational Functions Section.1: Linear and Quadratic Functions Linear Functions Quadratic Functions Linear Functions Definition of a Linear

### Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E.

April 9, 01 Standards: MM1Ga, MM1G1b Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? (1,10) B. (,7) C. (,) (,) (,1). Points P, Q, R, and S lie on a line

### Content Guidelines Overview

Content Guidelines Overview The Pearson Video Challenge is open to all students, but all video submissions must relate to set of predetermined curriculum areas and topics. In the following pages the selected

8th Grade Math Definitions Absolute Value: 1. A number s distance from zero. 2. For any x, is defined as follows: x = x, if x < 0; x, if x 0. Acute Angle: An angle whose measure is greater than 0 and less

### Secondary School Certificate Examination Syllabus MATHEMATICS. Class X examination in 2011 and onwards. SSC Part-II (Class X)

Secondary School Certificate Examination Syllabus MATHEMATICS Class X examination in 2011 and onwards SSC Part-II (Class X) 15. Algebraic Manipulation: 15.1.1 Find highest common factor (H.C.F) and least

### For math conventions used on the GRE, refer to this link:

GRE Review ISU Student Success Center Quantitative Workshop One Quantitative Section: Overview Your test will include either two or three 35-minute quantitative sections. There will be 20 questions in

### The focus of SECONDARY Mathematics II Critical Area 1: Critical Area 2: Critical Area 3: Critical Area 4: Critica l Area 5: Critical Area 6:

The focus of SECONDARY Mathematics II is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Secondary

### Solutions Math is Cool HS Championships Mental Math

Mental Math 9/11 Answer Solution 1 30 There are 5 such even numbers and the formula is n(n+1)=5(6)=30. 2 3 [ways] HHT, HTH, THH. 3 6 1x60, 2x30, 3x20, 4x15, 5x12, 6x10. 4 9 37 = 3x + 10, 27 = 3x, x = 9.

### MATH Spring 2010 Topics per Section

MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line

### Math 75 Mini-Mod Due Dates Spring 2016

Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing

### Indicate whether the statement is true or false.

PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.

### Q.2 A, B and C are points in the xy plane such that A(1, 2) ; B (5, 6) and AC = 3BC. Then. (C) 1 1 or

STRAIGHT LINE [STRAIGHT OBJECTIVE TYPE] Q. A variable rectangle PQRS has its sides parallel to fied directions. Q and S lie respectivel on the lines = a, = a and P lies on the ais. Then the locus of R

### Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths

Topic 2 [312 marks] 1 The rectangle ABCD is inscribed in a circle Sides [AD] and [AB] have lengths [12 marks] 3 cm and (\9\) cm respectively E is a point on side [AB] such that AE is 3 cm Side [DE] is

### Math Contest, Fall 2017 BC EXAM , z =

Math Contest, Fall 017 BC EXAM 1. List x, y, z in order from smallest to largest fraction: x = 111110 111111, y = 1 3, z = 333331 333334 Consider 1 x = 1 111111, 1 y = thus 1 x > 1 z > 1 y, and so x

### 9-12 Mathematics Vertical Alignment ( )

Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing

### Integrated Mathematics II

Integrated Mathematics II This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet

### Prentice Hall Geometry (c) 2007 correlated to American Diploma Project, High School Math Benchmarks

I1.1. Add, subtract, multiply and divide integers, fractions and decimals. I1.2. Calculate and apply ratios, proportions, rates and percentages to solve problems. I1.3. Use the correct order of operations

### Fall For each standard, the table below shows the applicable Catchup Math curriculum. Covered in Subject and Chapter Programs

Catchup Math and the Common Core Standards Fall 2012 The Catchup Math curriculum addresses nearly all the Common Core Mathematics Standards for Grades 6-8 and High School (including most of the optional

### DESK Secondary Math II

Mathematical Practices The Standards for Mathematical Practice in Secondary Mathematics I describe mathematical habits of mind that teachers should seek to develop in their students. Students become mathematically

### 0114ge. Geometry Regents Exam 0114

0114ge 1 The midpoint of AB is M(4, 2). If the coordinates of A are (6, 4), what are the coordinates of B? 1) (1, 3) 2) (2, 8) 3) (5, 1) 4) (14, 0) 2 Which diagram shows the construction of a 45 angle?

### (A) 20% (B) 25% (C) 30% (D) % (E) 50%

ACT 2017 Name Date 1. The population of Green Valley, the largest suburb of Happyville, is 50% of the rest of the population of Happyville. The population of Green Valley is what percent of the entire

### 2018 TAME High School Practice Mathematics Test

018 TAME High School Practice Mathematics Test (1) Arturo took four exams and made grades of 65, 88, 9 and 75. If Arturo wants to have an average of at least 80, which of the following is the lowest grade

### QUESTION BANK ON. CONIC SECTION (Parabola, Ellipse & Hyperbola)

QUESTION BANK ON CONIC SECTION (Parabola, Ellipse & Hyperbola) Question bank on Parabola, Ellipse & Hyperbola Select the correct alternative : (Only one is correct) Q. Two mutually perpendicular tangents

### Chapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in

Chapter - 10 (Circle) Key Concept * Circle - circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle - Circle having same centre called concentric circle.

### Summer Work for students entering PreCalculus

Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate

### 0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism.

0610ge 1 In the diagram below of circle O, chord AB chord CD, and chord CD chord EF. 3 The diagram below shows a right pentagonal prism. Which statement must be true? 1) CE DF 2) AC DF 3) AC CE 4) EF CD

### Spring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018

Domain Standard Learning Targets Resources Ratios and Proportional Relationships 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured

### The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca Euclid Contest. Wednesday, April 15, 2015

The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca 015 Euclid Contest Wednesday, April 15, 015 (in North America and South America) Thursday, April 16, 015 (outside of North America

### 2005 Palm Harbor February Invitational Geometry Answer Key

005 Palm Harbor February Invitational Geometry Answer Key Individual 1. B. D. C. D 5. C 6. D 7. B 8. B 9. A 10. E 11. D 1. C 1. D 1. C 15. B 16. B 17. E 18. D 19. C 0. C 1. D. C. C. A 5. C 6. C 7. A 8.

### College Algebra with Trigonometry

College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional

### Integrated Math II. IM2.1.2 Interpret given situations as functions in graphs, formulas, and words.

Standard 1: Algebra and Functions Students graph linear inequalities in two variables and quadratics. They model data with linear equations. IM2.1.1 Graph a linear inequality in two variables. IM2.1.2

### Question 1 ( 1.0 marks) places of decimals? Solution: Now, on dividing by 2, we obtain =

Question 1 ( 1.0 marks) The decimal expansion of the rational number places of decimals? will terminate after how many The given expression i.e., can be rewritten as Now, on dividing 0.043 by 2, we obtain

### 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT.

1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would prove l m? 1) 2.5 2) 4.5 3)

### MATH II CCR MATH STANDARDS

RELATIONSHIPS BETWEEN QUANTITIES M.2HS.1 M.2HS.2 M.2HS.3 M.2HS.4 M.2HS.5 M.2HS.6 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents

### Algebra 2 End of Course Review

1 Natural numbers are not just whole numbers. Integers are all whole numbers both positive and negative. Rational or fractional numbers are all fractional types and are considered ratios because they divide

### Pre Algebra and Introductory Algebra

Pre Algebra and Introductory Algebra This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to

### Basic Math. Curriculum (358 topics additional topics)

Basic Math This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to meet your curricular needs.

### 2018 LEHIGH UNIVERSITY HIGH SCHOOL MATH CONTEST

08 LEHIGH UNIVERSITY HIGH SCHOOL MATH CONTEST. A right triangle has hypotenuse 9 and one leg. What is the length of the other leg?. Don is /3 of the way through his run. After running another / mile, he

### Rational Numbers and Exponents

Rational and Exponents Math 7 Topic 4 Math 7 Topic 5 Math 8 - Topic 1 4-2: Adding Integers 4-3: Adding Rational 4-4: Subtracting Integers 4-5: Subtracting Rational 4-6: Distance on a Number Line 5-1: Multiplying

### nonadjacent angles that lie on opposite sides of the transversal and between the other two lines.

WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):

### Summer Work for students entering PreCalculus

Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate

### Statistics. To find the increasing cumulative frequency, we start with the first

Statistics Relative frequency = frequency total Relative frequency in% = freq total x100 To find the increasing cumulative frequency, we start with the first frequency the same, then add the frequency

### Purposeful Design Publications. Intermediate Mathematics Series Scope and Sequence

Purposeful Design Publications Intermediate Mathematics Series Scope and Sequence All rights reserved, 2004 PO Box 35097 Colorado Springs, CO 80935-3509 800.367.0798 www.purposefuldesign.com I. NUMBER

### Glossary. alternate exterior angles. absolute value function. Additive Identity. Additive Inverse. alternate interior angles.

Glossary A absolute value function An absolute value function is a function that can be written in the form f(x) x where x is any number. Additive Identity The number is the additive identity because when

### = 0 1 (3 4 ) 1 (4 4) + 1 (4 3) = = + 1 = 0 = 1 = ± 1 ]

STRAIGHT LINE [STRAIGHT OBJECTIVE TYPE] Q. If the lines x + y + = 0 ; x + y + = 0 and x + y + = 0, where + =, are concurrent then (A) =, = (B) =, = ± (C) =, = ± (D*) = ±, = [Sol. Lines are x + y + = 0

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, June 19, :15 a.m. to 12:15 p.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, June 19, 2018 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any communications

### Math is Cool Championships

Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise. Record all answers on

### Homework Assignments Math /02 Fall 2014

Homework Assignments Math 119-01/02 Fall 2014 Assignment 1 Due date : Friday, September 5 6th Edition Problem Set Section 6.1, Page 178: #1, 2, 3, 4, 5, 6. Section 6.2, Page 185: #1, 2, 3, 5, 6, 8, 10-14,

### 0612ge. Geometry Regents Exam

0612ge 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

### Introductory Chapter(s)

Course 1 6 11-12 years 1 Exponents 2 Sequences Number Theory 3 Divisibility 4 Prime Factorization 5 Greatest Common Factor Fractions and Decimals 6 Comparing and Ordering Fractions 7 Comparing and Ordering

### Practice Test Student Answer Document

Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

### Area Formulas. Linear

Math Vocabulary and Formulas Approximate Area Arithmetic Sequences Average Rate of Change Axis of Symmetry Base Behavior of the Graph Bell Curve Bi-annually(with Compound Interest) Binomials Boundary Lines

### Geometry. A. Right Triangle. Legs of a right triangle : a, b. Hypotenuse : c. Altitude : h. Medians : m a, m b, m c. Angles :,

Geometry A. Right Triangle Legs of a right triangle : a, b Hypotenuse : c Altitude : h Medians : m a, m b, m c Angles :, Radius of circumscribed circle : R Radius of inscribed circle : r Area : S 1. +

### Section 5.1. Perimeter and Area

Section 5.1 Perimeter and Area Perimeter and Area The perimeter of a closed plane figure is the distance around the figure. The area of a closed plane figure is the number of non-overlapping squares of

### A. 180 B. 108 C. 360 D. 540

Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior

### C. 3 PRACTICE FINAL EXAM. 1. Simplify B. 2. D. E. None of the above. 2. Factor. completely. E. None of the above. 3.

MA 1500 1. Simplify ; A. B. 2 C. 2. Factor 8 completely. A. x y x + y B. x 2y C. 2x y 2x + y 2x y. Simplify ( ) ; A. a b c B. C. a b c a b 6c c a b 1 MA 1500 4. Subtract and simplify. + 2 A. x: x ; x;

### Secondary 1 - Secondary 3 CCSS Vocabulary Word List Revised Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation

Vocabulary Word Sec 1 Sec 2 Sec 3 absolute value equation (optional) absolute value function absolute value inequality (optional) acute angle addition rule algebraic representation alternate exterior angles

### Homework Assignments Math /02 Fall 2017

Homework Assignments Math 119-01/02 Fall 2017 Assignment 1 Due date : Wednesday, August 30 Section 6.1, Page 178: #1, 2, 3, 4, 5, 6. Section 6.2, Page 185: #1, 2, 3, 5, 6, 8, 10-14, 16, 17, 18, 20, 22,

### 2015 Fall Startup Event Solutions

1. Evaluate: 829 7 The standard division algorithm gives 1000 + 100 + 70 + 7 = 1177. 2. What is the remainder when 86 is divided by 9? Again, the standard algorithm gives 20 + 1 = 21 with a remainder of

### resources Symbols < is less than > is greater than is less than or equal to is greater than or equal to = is equal to is not equal to

Symbols < is less than > is greater than is less than or equal to is greater than or equal to resources = is equal to is not equal to is approximately equal to similar a absolute value: = ; - = (x, y)

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: Notice School Name: Print your name and the

### Here is a link to the formula booklet:

IB MATH SL2 SUMMER ASSIGNMENT review of topics from year 1. We will be quizzing on this when you return to school. This review is optional but you will earn bonus points if you complete it. Questions?

### For all questions, answer choice E. NOTA" means none of the above answers is correct.

For all questions, answer choice " means none of the above answers is correct. 1. The sum of the integers 1 through n can be modeled by a quadratic polynomial. What is the product of the non-zero coefficients

### OBJECTIVES UNIT 1. Lesson 1.0

OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint

### Histogram, cumulative frequency, frequency, 676 Horizontal number line, 6 Hypotenuse, 263, 301, 307

INDEX A Abscissa, 76 Absolute value, 6 7, 55 Absolute value function, 382 386 transformations of, reflection, 386 scaling, 386 translation, 385 386 Accuracy, 31 Acute angle, 249 Acute triangle, 263 Addition,

### Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1

Correlation of 2012 Texas Essential Knowledge and Skills (TEKS) for Algebra I and Geometry to Moving with Math SUMS Moving with Math SUMS Algebra 1 ALGEBRA I A.1 Mathematical process standards. The student

### ACT MATH MUST-KNOWS Pre-Algebra and Elementary Algebra: 24 questions

Pre-Algebra and Elementary Algebra: 24 questions Basic operations using whole numbers, integers, fractions, decimals and percents Natural (Counting) Numbers: 1, 2, 3 Whole Numbers: 0, 1, 2, 3 Integers:

### Use this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q.

Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. For each statement or question, choose the word or expression that, of those given, best completes the statement

### Geometric Formulas (page 474) Name

LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note:

### C=2πr C=πd. Chapter 10 Circles Circles and Circumference. Circumference: the distance around the circle

10.1 Circles and Circumference Chapter 10 Circles Circle the locus or set of all points in a plane that are A equidistant from a given point, called the center When naming a circle you always name it by

### 1. The sides of a triangle are in the ratio 3 : 5 : 9. Which of the following words best describes the triangle?

UNIVERSITY OF NORTH CAROLINA CHARLOTTE 999 HIGH SCHOOL MATHEMATICS CONTEST March 8, 999 The sides of a triangle are in the ratio : 5 : 9 Which of the following words best describes the triangle? (A) obtuse

### How well do I know the content? (scale 1 5)

Page 1 I. Number and Quantity, Algebra, Functions, and Calculus (68%) A. Number and Quantity 1. Understand the properties of exponents of s I will a. perform operations involving exponents, including negative