exclude. PAKTURK 9 th National Interschool Maths Olympiad Q4: ? Q1: Evaluate

Size: px
Start display at page:

Download "exclude. PAKTURK 9 th National Interschool Maths Olympiad Q4: ? Q1: Evaluate"

Transcription

1 Q: Evaluate 8 9 Q: 8? Q: Which of the following is equal to ? 0 Q: Find x if x x x x x 8 x Q: What is the maximum number of Mondays in 7 consecutive days? Q6: Which of the following fraction shouldn t be in so the order will be correct? In one week there are 7 days and 6 7=8 Mondays for the maximum number of Mondays 8+= exclude 9. We believe what is taught with love lasts forever Page of 0

2 6 Q7: Find the value of Q0: What is the number that is of of of 00? Q8: If x, then evaluate x x x Q:...? 0 x x x Q9: a and b are integers such that a and ab 8 What is a b? a a a b 8 b 8 b a b Q: A man can travel 00 km on liters of petrol. How many liters of petrol are needed to drive 70 km? km on liters of petrol 0 km on 6 liters of petrol x0=70 km on x6=0 liters of petrol We believe what is taught with love lasts forever Page of 0

3 Q: Evaluate Q6: Evaluate Q7: Which of the following is a positive number? Q:? Q: Which of the following is not equal to 6? Q8: Find the remainder when 8 is divided by We believe what is taught with love lasts forever Page of 0

4 Q9: If a, b, c Which of the following is correct? c a b c b a a b c a c b 6 a 66.7, b 80, c a b c Q: If Evaluate a 0. and a b b a b 0.6 Q0: Find the greatest number that will divide 09, 7 and 6 so as to leave the same remainder in each case = (Remainder=) 7 7= (Remainder=) 6 7= (Remainder=) Q: Find the unknown angle in the rectangle. a b b a Q: A number when divided by 6 leaves a remainder. What will be the remainder when the square of the number is divided by 6? 6 9 Let s take any number like 9 6 (gives remainder ) and 9 =8 6 (gives also remainder ) We believe what is taught with love lasts forever Page of 0

5 Q: These numbers are arranged according to a certain rule. Find the number indicated by question mark. Q6: Which of the following is the fraction of the shaded region in the figure? Q: Simplify Q7: A person crosses a 600 m long street in minutes. What is his speed in km per hour? 6.8 km/hr. 7.0 km/hr. 7. km/hr. 7. km/hr. d s 7. km / h t We believe what is taught with love lasts forever Page of 0

6 Q8: Which of the following is an odd number if is odd and n is an even number? m m mn m m n mn m n n Q: The LCM of 6 and is x and the HCF of 8 and 8 is What is the value of x y? y m mn odd ( ) The LCM of 6 and is and 8 is x 8 and the HCF of 8 x y y 6 the value of 8 6 Q9: Find the number which is represented by? in the number pattern? Q: What is the missing number in the sequence shown below?, 8, 7,?,, =6 Q0: On a bus, the number of women is five less than the number of men. Twelve women and eight men get off the bus. There are passengers left on the bus. How many women were there on the bus at the beginning? Women:x-, Men: x ; x+x---8= then x=6 then x= then women=-=8 Q: According the rule used below 6 6, find the sum of the natural numbers up to We believe what is taught with love lasts forever Page 6 of 0

7 Q: There are 00 chairs in conference hall. If 6 % of the chairs are given to the female and % of chairs are given to the males, then how many chairs left for the children? %+%=60% means remaining 0% for the children. That is 0% of 00=0 chairs Q7:,,,,... The Pattern above is formed according to a rule. Find the twentieth term in the number pattern Q: What is the number of whole numbers that lie between and? between and means between 6 and =8 then 8-=7. Q8: In a class of 0 students, 70 % of them are boys. What will be the percentage of girls in the same classroom after 8 boys leave the school?.% 6% 7% 7.% 0% of 0= girls. When 8 boys leave there will be students. Q6: A library has an average of 0 visitors on Sundays and 0 on other days. The average number of visitors per day in a month of 0 days beginning with a Sunday is: The percentage of girls=(x00)/%=7/%=7.% Sundaysx0visitors=0 visitors and Q9: The figure below is made by four congruent rectangles and square. Find the sum of perimeter of all quadrilaterals. remaining days without Sunday is x0= 6000 visitors. Average= (6000+0)/0= We believe what is taught with love lasts forever Page 7 of 0

8 Q: Find the unknown angle in the figure if BA / / EC / / KD. Perimeters of rectangles: xx(+)=6 and perimeter of square: x=8cm. Total perimeter is 6+8=7cm Q0: How many four-sided figures appear in the diagram below? There are total four-sided figures. Q: The numbers arranged according to a certain rule. Find the number indicated by question mark. 0 0 We believe what is taught with love lasts forever Page 8 of 0

9 According to the certain rule x-70=60 then x=70+60=0 Q: Which one of the following is the smallest when x x 6? x x 6 x Q: A train leaves Lahore station and travels at 0 km/h. Two hours later, another train leaves from Lahore station on the track beside or parallel to the first train but it travels at 00 km/h. How far away from Lahore station will the faster train pass the other train? x 6 7 x x 6 0 x km 0 km 00 km 0 km Q6: Find the difference between the largest and the smallest four digit number formed with the digits:,, 0, After hrs. when slow train left, they will cover the same distance: Slow train x0 km/h = 00 km Fast train x00 km/h = 00 km 0-0=7 Q: On a farm there are 0 rabbits, 0 geese and chickens. There are no other animals. The price of two chickens equals the price of a rabbit and the price of three chickens equals the price of a goose. If a rabbit costs Rs., what is the total value of all the animals on the farm? Rs. 0 Rs. 0 Rs. 60 Rs. 70 Q7: What is the value of the sum of the smallest and the greatest positive factors of 96? =97 Rabbit cost: Rs.x0=Rs.0 Chicken cost: Rs.6x= Rs.0 Goose cost: Rs.8x0=Rs.80 Total value: =Rs.70 Q8: Safia is baking cookies for children. She has baked dozen cookies. If she wants each child to receive exactly cookies and have no cookies left over, how many more cookies should she bake? 6 We believe what is taught with love lasts forever Page 9 of 0

10 She has baked x=6 cookies x=8 cookies will be received. So 8-6= cookies has to be baked. Q9: Rashid needs bottles of water from the store. He can only carry at a time. What is the minimum number of trips Rashid needs to make to the store? 6 The perimeter=x(.+0.8)=x.=. cm trips make x= bottles. For th bottle he has to go one more time. It makes trips. Q0: Find the perimeter of the following. cm. cm 8.8 cm 8 cm We believe what is taught with love lasts forever Page 0 of 0

Q 1 Find the square root of 729. 6. Squares and Square Roots Q 2 Fill in the blank using the given pattern. 7 2 = 49 67 2 = 4489 667 2 = 444889 6667 2 = Q 3 Without adding find the sum of 1 + 3 + 5 + 7

More information

Grade: 7 Mathematics Olympiad Qualifier Set: 2

Grade: 7 Mathematics Olympiad Qualifier Set: 2 Grade: 7 Mathematics Olympiad Qualifier Set: 2 ----------------------------------------------------------------------------------------------- Max Marks: 60 Test ID: 77702 Time Allotted: 40 Mins -----------------------------------------------------------------------------------------------

More information

NMC Sample Problems: Grade 7

NMC Sample Problems: Grade 7 NMC Sample Problems: Grade 7. If Amy runs 4 4 mph miles in every 8 4. mph hour, what is her unit speed per hour? mph. mph 6 mph. At a stationary store in a state, a dozen of pencils originally sold for

More information

Fill in the blanks : 1. The symbol for 100 in the Roman Numeral is. 2. The place value value of 3 in 28,38,19,764 is. 3. The numbers that are being added are called. 4. A line segment has end points. 5.

More information

SAMPLE PAPER, TERM - 1 SESSION MATHEMATICS CLASS-VI Time Allowed- 3 hrs M.M. - 80

SAMPLE PAPER, TERM - 1 SESSION MATHEMATICS CLASS-VI Time Allowed- 3 hrs M.M. - 80 SAMPLE PAPER, TERM - 1 SESSION 2017-18 MATHEMATICS CLASS-VI Time Allowed- 3 hrs M.M. - 80 General Instructions:- 1. All questions are compulsory. 2. The question paper consist of 27 questions, divided

More information

Class 9 th Everyday Mathematics

Class 9 th Everyday Mathematics Year Questions Marks 2012 10 10 2013 10 10 2014 10 10 2015 10 10 2016 10 10 Total 50 50 1. The population of a town was 160000 three years ago. If it had increased by 3%, 2.5% and 5% in the last three

More information

Fraction Decimal Percentage 75% % (c) Write as a decimal. Answer... (1)

Fraction Decimal Percentage 75% % (c) Write as a decimal. Answer... (1) GCSE Foundation Paper Number Q1.(a) Complete the table. Fraction Decimal Percentage 75% 0.9 0.3 30% Write, 0.9 and 30% in order with the smallest first. Q2.(a) Write 80% as a decimal. Answer...,...,...

More information

Downloaded from

Downloaded from CLASS VI Mathematics (Knowing our Numbers) Worksheet-01 Choose correct option in questions 1 to 7. 1. Which is greatest? a. 234 b. 543 c. 657 56 2. Which is smallest? a. 4567 b. 3456 c. 2345 d. 1234 3.

More information

4. QUADRATIC EQUATIONS

4. QUADRATIC EQUATIONS . QUADRATIC EQUATIONS Important Terms, Definitions and Results The roots of a quadratic equation ax + bx + c = 0 An equation of the form ax + bx + c = 0, where a, b, c are real numbers and a 0, is called

More information

SSC (Tier-II) (Mock Test Paper - 2) [SOLUTION]

SSC (Tier-II) (Mock Test Paper - 2) [SOLUTION] SS (Tier-II) - 0 (Mock Test Paper - ) [SOLUTION]. () 7 7 7 7 7 8 8 7 8 7 7 9 R R 8 8 8. (D) Let the first odd integer the second odd integer + Difference between the squares of these two consecutive odd

More information

1. The area of the surface of the Atlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation?

1. The area of the surface of the Atlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation? 1. The area of the surface of the tlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation? 3.183 x 10 4 B 3.183 x 10 5 C 3.183 x 10 6 D 3.183 x 10 7 2. In

More information

Unit 2: Rational Expressions

Unit 2: Rational Expressions Rational Epressions Pure Math 0 Notes Unit : Rational Epressions -: Simplifing Rational Epressions Rational Epressions: - fractions with polnomials as numerator and / or denominator. To Simplif (Reduce)

More information

QUESTION 1 50 FOR JSS 1

QUESTION 1 50 FOR JSS 1 QUESTION 1 5 FOR JSS 1 1. The LCM of, 3 and 4 is A. 14 B. 1 C. 1 D. 16. Estimate 578.6998 to 3 decimal places. A. 578.7 B. 578.79 C. 578.8 D. 579. 3. Express 111 two as a number in base ten. A. 15 B. 18

More information

1. Fill in the response sheet with your Name, Class and the institution through which you appear in the specified places.

1. Fill in the response sheet with your Name, Class and the institution through which you appear in the specified places. Note: THE ASSOIATION OF MATHEMATIS TEAHERS OF INDIA Screening Test - Kaprekar ontest NMT at SUB JUNIOR LEVEL - VII & VIII Standards Saturday, 6th August, 07. Fill in the response sheet with your Name,

More information

Find the volume of this sphere.

Find the volume of this sphere. 8th September A special edition packet of cereal contains an extra 30%. The special edition packet contains 546g. What does the normal packet contain? Calculate angle CAB Solve Find the volume of this

More information

The Alberta High School Mathematics Competition Solution to Part I, 2014.

The Alberta High School Mathematics Competition Solution to Part I, 2014. The Alberta High School Mathematics Competition Solution to Part I, 2014. Question 1. When the repeating decimal 0.6 is divided by the repeating decimal 0.3, the quotient is (a) 0.2 (b) 2 (c) 0.5 (d) 0.5

More information

Outline for Math 8 Exam Collingwood School 20% Carlbeck, Ditson, Rogers, Town, Van der West Tuesday June 16 th 8:30am

Outline for Math 8 Exam Collingwood School 20% Carlbeck, Ditson, Rogers, Town, Van der West Tuesday June 16 th 8:30am Outline for Math 8 Exam Collingwood School 0% Carlbeck, Ditson, Rogers, Town, Van der West Tuesday June 6 th 8:0am Below you will find a list of all the topics we have covered this year. Next to each topic

More information

KVS Junior Mathematics Olympiad (JMO) 2001

KVS Junior Mathematics Olympiad (JMO) 2001 KVS Junior Mathematics Olympiad (JMO) 001 M.M. 100 Time : hours Note : (i) Please check that there are two printed pages and ten question in all. (ii) Attempt all questions. All questions carry equal marks.

More information

2. In an AP. if the common difference (d) = -4, and the seventh term (a7) is 4, then find the first term.

2. In an AP. if the common difference (d) = -4, and the seventh term (a7) is 4, then find the first term. CBSE Board Class X Set 3 Mathematics Board Question Paper 2018 Time: 3 hrs. Marks: 80 Note: Please check that this question paper contains 11 printed pages. Code number given on the right hand side of

More information

N= {1,2,3,4,5,6,7,8,9,10,11,...}

N= {1,2,3,4,5,6,7,8,9,10,11,...} 1.1: Integers and Order of Operations 1. Define the integers 2. Graph integers on a number line. 3. Using inequality symbols < and > 4. Find the absolute value of an integer 5. Perform operations with

More information

2017 CAT. Test Name 2017 CAT Total Questions 100 Total Time 180 Mins. Section Name No. of Questions Time limit Marks per Question Negative Marking

2017 CAT. Test Name 2017 CAT Total Questions 100 Total Time 180 Mins. Section Name No. of Questions Time limit Marks per Question Negative Marking 2017 CAT Directions of Test Test Name 2017 CAT Total Questions 100 Total Time 180 Mins Section Name No. of Questions Time limit Marks per Question Negative Marking Verbal Ability 34 1:0(h:m) 3 1/3 DI &

More information

SSC [PRE+MAINS] Mock Test 230 [Answer with Solution]

SSC [PRE+MAINS] Mock Test 230 [Answer with Solution] SS [PRE+MAINS] Mock Test 0 [Answer with Solution]. () (x ) (x + ) (x ) (x + ) (x + x ) (x + x ) x + x x + x + x x x x + x + x x x + So, cofficient of x. () HF of fraction. () HF of,, LM of,8, t t x v x

More information

In the ratio a : b, a and b are called the terms of ratio, `a' is the antecedent and `b' is the consequent.

In the ratio a : b, a and b are called the terms of ratio, `a' is the antecedent and `b' is the consequent. Ratio: The number of times one quantity contains another quantity of the same kind is called ratio of the two quantities. The ratio of a to b is written as a : b a b a b In the ratio a : b, a and b are

More information

1997 Solutions Pascal Contest(Grade 9)

1997 Solutions Pascal Contest(Grade 9) Canadian Mathematics Competition An activity of The Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 997 Solutions Pascal Contest(Grade 9) for the Awards 997

More information

6 SQUARES AND SQUARE ROOTS

6 SQUARES AND SQUARE ROOTS 6 SQUARES AND SQUARE ROOTS Exercise 6.1 Q.1. What will be the unit digit of the squares of the following numbers? (i) 81 (ii) 272 (iii) 799 (iv) 3853 (v) 1234 (vi) 26387 (vii) 52698 (viii) 99880 (ix) 12796

More information

Geometric Formulas (page 474) Name

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:

More information

St. Stephen s Girls College Mid-Year Examination VC, LC, MH, KAL, CYN, MLW

St. Stephen s Girls College Mid-Year Examination VC, LC, MH, KAL, CYN, MLW St. Stephen s Girls College Mid-Year Examination 03-04 Form 80 students MTHEMTICS Time llowed : hour Name: ( ) Class: Division: Instructions:. This paper consists of TWO sections, and B.. nswer LL questions

More information

Math Summer Packet Grade 7

Math Summer Packet Grade 7 2018-2019 Math Summer Packet Grade 7 Name: 6 th Grade Math Teacher: 7 th Grade Math Teacher: Part 1: Multiple Choice Directions: Answer every question. (1) Which integer makes this statement true? 8 +?

More information

FORM /SPEC2012

FORM /SPEC2012 - - TEST CODE 062004 FORM 062004/SPEC202 C A R I B B E A N E X A M I N A T I O N S C O U N C I L CARIBBEAN PRIMARY EXIT ASSESSMENT MATHEMATICS SPECIMEN PAPER hour 5 minutes READ THE FOLLOWING INSTRUCTIONS

More information

2016 Grade 6 Final Review

2016 Grade 6 Final Review Name: Module 1 Integers 1. The table shows the weight losses and gains (in lbs.) for a dog over 6 months. 2016 Grade 6 Final Review 11. What is the LCM of 21 and 30? J A S O N D 3 2 4 0 3 4 Graph the losses

More information

Grade 6 Math Circles. Gauss Contest Preparation - Solutions

Grade 6 Math Circles. Gauss Contest Preparation - Solutions Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles March 25/26, 2014 Gauss Contest Preparation - Solutions General Information The Gauss

More information

CBSE CLASS-10 MARCH 2018

CBSE CLASS-10 MARCH 2018 CBSE CLASS-10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four sections

More information

2. If an object travels at five feet per second, how many feet does it travel in one hour?

2. If an object travels at five feet per second, how many feet does it travel in one hour? 1. Of the following, which is greater than ½? A. 2/5 B. 4/7 C. 4/9 D. 5/11 E. 6/13 2. If an object travels at five feet per second, how many feet does it travel in one hour? A. 30 B. 300 C. 720 D. 1800

More information

Chapter 3. Q1. Show that x = 2, if = 1 is a solution of the system of simultaneous linear equations.

Chapter 3. Q1. Show that x = 2, if = 1 is a solution of the system of simultaneous linear equations. Chapter 3 Q1. Show that x = 2, if = 1 is a solution of the system of simultaneous linear equations. Q2. Show that x = 2, Y = 1 is not a solution of the system of simultaneous linear equations. Q3. Show

More information

a. b. c. d. e. None of the above

a. b. c. d. e. None of the above Level I/Page 1 2003 MATH OLYMPICS LEVEL I 1. 2. Which of these numbers is largest? d. e. 3. Last year a bicycle cost $160 and a cycling helmet cost $40. This year the cost of the bicycle increased by 5%

More information

GRE. Advanced GRE Math Questions

GRE. Advanced GRE Math Questions Advanced GRE Math Questions Quantitative Arithmetic 1. What is the sum of all integers x, such that 7 < x 5? 7 7 6 6 7 1. C Quantitative Fractions and Ratios 1. The current ratio of boys to girls at a

More information

CSU FRESNO MATHEMATICS FIELD DAY

CSU FRESNO MATHEMATICS FIELD DAY CSU FRESNO MATHEMATICS FIELD DAY 1. What is 5+4 2 3 2? MAD HATTER MARATHON 9-10 PART I April 16 th, 2011 (a) 1 (b) 3 (c) 8 (d) 3 2 2. Mary has part of a roll of quarters for the arcade. She gives half

More information

GMAT Club Diagnostic Test

GMAT Club Diagnostic Test This diagnostic test was put together by dedicated members of the GMAT Club. This is our contribution to the next generation of GMAT Test takers and in return we only ask for your feedback - let us know

More information

1. What is the difference between the sum of the first 2003 even counting numbers and the sum of the first 2003 odd counting numbers?

1. What is the difference between the sum of the first 2003 even counting numbers and the sum of the first 2003 odd counting numbers? 4 th AMC 0 A 200 2. What is the difference between the sum of the first 200 even counting numbers and the sum of the first 200 odd counting numbers? (A) 0 (B) (C) 2 (D) 200 (E) 4006 2. Members of the Rockham

More information

Give (one word answer) and Take (one mark in future):

Give (one word answer) and Take (one mark in future): Star Sums: Give (one word answer) and Take (one mark in future): 1. If is a rational number, what is the condition on q so that the decimal representation of is terminating. 2. Find the (H.C.F X L.C.M)

More information

Name Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.

Name Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Practice - Solving Two-Step Equations Solve each equation. Check your answer.. a +. +. b +. 9 + t. a +. -t + Write an equation to model each situation. Then solve.. You want to buy a bouquet of yellow

More information

Year 11 Intervention Book 1 (Number)

Year 11 Intervention Book 1 (Number) Year 11 Intervention Book 1 (Number) Name Target Grade My areas of strength in this booklet My areas for development in this booklet What can I do to improve? (Be specific) I spent hours on this book in

More information

Revision papers for class VI

Revision papers for class VI Revision papers for class VI 1. Fill in the blanks; a. 1 lakh=--------ten thousand b. 1 million=-------hundred thousand c. 1 Crore=--------------million d. 1 million=------------1 lakh 2. Add the difference

More information

Primary 6 July Review 1

Primary 6 July Review 1 Primary 6 July Review 1 50 Section A: 10 Questions, 15 marks Questions 1 to Questions 5 carry 1 mark each. Questions 6 to Questions 10 carry 2 marks each. Choose the correct answer and write it in the

More information

1. Joseph is three years youger than Michael s age, m. Write an expression for Joseph s age.

1. Joseph is three years youger than Michael s age, m. Write an expression for Joseph s age. Practice Test 3 Name: 1. Joseph is three years youger than Michael s age, m. Write an expression for Joseph s age. 2. The cost of a Big Mac is $3.49. Write an expression for the cost of x Big Macs. 3.

More information

Finding a Percent of a Number (page 216)

Finding a Percent of a Number (page 216) LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5%

More information

Tnpsc Previous Questions With Explanation - Part 4

Tnpsc Previous Questions With Explanation - Part 4 Tnpsc Previous Questions With Explanation - Part 4 1. If ABDUL is coded as 0304062314 the SITA is coded as A)20112203 B)21112203 C)0305201 D)211222033 Numbers are assigned to their alphabets A B C D E

More information

Linear Equations in Two Variables

Linear Equations in Two Variables Linear Equations in Two Variables LINEAR EQUATIONS IN TWO VARIABLES An equation of the form ax + by + c = 0, where a, b, c are real numbers (a 0, b 0), is called a linear equation in two variables x and

More information

ITL Public School Summative Assessment - 1 ( ) Mathematics (Set -B) Marking Scheme

ITL Public School Summative Assessment - 1 ( ) Mathematics (Set -B) Marking Scheme ITL Public School Summative Assessment - (0-5) Mathematics (Set -B) Marking Scheme Date: Class:VIII Time: hours M.M : 90 General Instructions:. Read the question paper carefully and answer legibly.. All

More information

Paper 3 Unseen Topics

Paper 3 Unseen Topics Paper 3 Unseen Topics This is a collection of questions based on the topics that are so far UNSEEN or are usually more prominent Make sure you revise all topics as it is very likely topics from Paper 1

More information

CDS-I 2019 Elementary Mathematics (Set-C)

CDS-I 2019 Elementary Mathematics (Set-C) 1 CDS-I 019 Elementary Mathematics (Set-C) Direction: Consider the following for the next three (03) items : A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the

More information

(BASED ON MEMORY) HELD ON: TEST - I: REASONING ABILITY

(BASED ON MEMORY) HELD ON: TEST - I: REASONING ABILITY RRB OFFICER (PT) (BASED ON MEMORY) HELD ON: 06-11-2016 TEST - I: REASONING ABILITY Directions (Q. 1-5): Study the given information carefully to answer the given questions. Eight people - E, F, G, H, Q,

More information

Exercise 4.1. Question 1: Check whether the following are quadratic equations: Answer:

Exercise 4.1. Question 1: Check whether the following are quadratic equations: Answer: Question 1: Exercise 4.1 Check whether the following are quadratic equations: It is of the form. Hence, the given equation is a quadratic equation. It is of the form. Hence, the given equation is a quadratic

More information

Math Workshop Prealgebra/Numerical Skills

Math Workshop Prealgebra/Numerical Skills Math Workshop Prealgebra/Numerical Skills Workshop Objective: Once a student successfully completes the Prealgebra Math Workshop, s/he will achieve a basic understanding the material taught in a MAT 060

More information

Number Theory and Divisibility

Number Theory and Divisibility Number Theory and Divisibility Recall the Natural Numbers: N = {1, 2, 3, 4, 5, 6, } Any Natural Number can be expressed as the product of two or more Natural Numbers: 2 x 12 = 24 3 x 8 = 24 6 x 4 = 24

More information

$$$$$$ 3. What is the sum of the units digits of all the multiples of 3 between 0 and 50?

$$$$$$ 3. What is the sum of the units digits of all the multiples of 3 between 0 and 50? 1. Sharon bought a mixture of nuts that was made up of pecans, walnuts and cashews in a ratio by weight of 2:3:1, respectively. If she bought 9 pounds of nuts, how many pounds of walnuts were in the mixture?

More information

Downloaded from

Downloaded from MODEL TEST PAPER SUMMATIVE ASSESSMENT-I SOLVED Time : 3 hrs. Maximum Marks: 80 General Instructions. Section-A consists of 8 parts carrying 1 mark each Section-B Q2 to Q11 carry 2 marks each Section-C

More information

1. The sum of four consecutive even numbers is 52. What is the largest of these numbers?

1. The sum of four consecutive even numbers is 52. What is the largest of these numbers? 1. The sum of four consecutive even numbers is 52. What is the largest of these numbers? 26 22 C 16 10 2. In a high school basketball game, Sarah scored 10 points in the first half of the game. In the

More information

ALGEBRA QUESTIONS SIMPLIFYING, FACTORISING & EXPANDING EXPRESSIONS. 1. Simplify: i 2x + 3x ii h h h h h iii 2m 3n

ALGEBRA QUESTIONS SIMPLIFYING, FACTORISING & EXPANDING EXPRESSIONS. 1. Simplify: i 2x + 3x ii h h h h h iii 2m 3n ALGEBRA QUESTIONS SIMPLIFYING, FACTORISING & EXPANDING EXPRESSIONS 1. Simplify: i 2x + 3x ii h h h h h iii 2m 3n iv 2(x + 3) + 5(x - 3) v. 2(3x + 4) 3(4x 5) vi. (2xy 3 ) 5 2. (a) Work out the value of

More information

Math Circle at FAU 10/27/2018 SOLUTIONS

Math Circle at FAU 10/27/2018 SOLUTIONS Math Circle at FAU 10/27/2018 SOLUTIONS 1. At the grocery store last week, small boxes of facial tissue were priced at 4 boxes for $5. This week they are on sale at 5 boxes for $4. Find the percent decrease

More information

Math 110 FOUNDATIONS OF THE REAL NUMBER SYSTEM FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS

Math 110 FOUNDATIONS OF THE REAL NUMBER SYSTEM FOR ELEMENTARY AND MIDDLE SCHOOL TEACHERS 4-1Divisibility Divisibility Divisibility Rules Divisibility An integer is if it has a remainder of 0 when divided by 2; it is otherwise. We say that 3 divides 18, written, because the remainder is 0 when

More information

,525. Name: Primary 5-a-day Silver. 1st January. Round 3,541 to the nearest 100 Round 3,541 to the nearest 1,000

,525. Name: Primary 5-a-day Silver. 1st January. Round 3,541 to the nearest 100 Round 3,541 to the nearest 1,000 1st January 606 + 2,525 2 7 + 3 7 Round 3,541 to the nearest 100 Round 3,541 to the nearest 1,000 How many students are there in total in Year 4? How many more Year 4 children than Year 6 children play

More information

The set of Integers. Notes: 1) The set of counting numbers C= {1, 2, 3, 4,.} 2) The set of natural numbers N = {0, 1, 2, 3, 4,.}

The set of Integers. Notes: 1) The set of counting numbers C= {1, 2, 3, 4,.} 2) The set of natural numbers N = {0, 1, 2, 3, 4,.} 1 The set of Integers Notes: 1) The set of counting numbers C= {1, 2, 3, 4,.} 2) The set of natural numbers N = {0, 1, 2, 3, 4,.} 3) The set of integers Z Z= Z - U {0} U Z + OR Z= Z - U N Where Z - = {..,-3,-2,

More information

Name Class Date. Describe each pattern using words. Draw the next figure in each pattern Input Output

Name Class Date. Describe each pattern using words. Draw the next figure in each pattern Input Output 1-1 Practice Patterns and Expressions Form G Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output

More information

Mathematics (Linear) 4365/1H

Mathematics (Linear) 4365/1H Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark General Certificate of Secondary Education Higher Tier June 2014 Mathematics (Linear)

More information

ARITHMETIC SOLVED QUESTIONS

ARITHMETIC SOLVED QUESTIONS ARITHMETIC SOLVED QUESTIONS Problem Solving 1) A boy has a few articles, all identical. If he sells them at $8 apiece, he loses $250. However, if he sells them at $9 per piece he gains $125. How many articles

More information

Algebra I Midterm Exam Review

Algebra I Midterm Exam Review Chapter 1: Expressions, Equations, and Functions Lesson 1.1 Variables and Expressions Write a verbal expression for each algebraic expression. 23f 5m 2 + 2c 3 4n 1 7 Write an algebraic expression for each

More information

New Elementary Mathematics 2 This test covers material taught in New Elementary Mathematics 2 (http://www.singaporemath.com/)

New Elementary Mathematics 2 This test covers material taught in New Elementary Mathematics 2 (http://www.singaporemath.com/) New Elementary Mathematics 2 This test covers material taught in New Elementary Mathematics 2 (http://www.singaporemath.com/) Calculators should not be used unless indicated by a C in front of the problem.

More information

CONTENTS. iii v viii FOREWORD PREFACE STUDENTS EVALUATION IN MATHEMATICS AT SECONDARY STAGE

CONTENTS. iii v viii FOREWORD PREFACE STUDENTS EVALUATION IN MATHEMATICS AT SECONDARY STAGE CONTENTS FOREWORD PREFACE STUDENTS EVALUATION IN MATHEMATICS AT SECONDARY STAGE iii v viii CHAPTER Real Numbers CHAPTER Polynomials 8 CHAPTER 3 Pair of Linear Equations in Two Variables 6 CHAPTER 4 Quadratic

More information

Unit #3 Linear Algebra Review

Unit #3 Linear Algebra Review Name: Unit # Linear Algebra Review Date: 1. The expression x + 5y 7x+ 4y is equivalent to which of the following? (1) 4x 9y () 4x y () 9y 4x (4) 10x + 9y. Written without parentheses, the expression 5

More information

Ratio Proportion Variation

Ratio Proportion Variation Ratio Proportion Variation 1. If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is : a) 20 : 35 : 63 b) 35 : 36 : 63 c) 30 : 35 : 65 d)25 :34: 68 2. If m : n = 3 : 4 and n : o = 8 : 9, then m : o is :

More information

6. If v s = 2 and r s = t v, then, for t 0, r t = (A) 1 2 (B) 2 t (C) v v (D) (E) 2v

6. If v s = 2 and r s = t v, then, for t 0, r t = (A) 1 2 (B) 2 t (C) v v (D) (E) 2v 5. While driving on a 500-mile trip, Mr. Smith averages 60 miles per hour for the first t hours. In terms of t, where t < 8, how many miles remain to be traveled? Plug in Numbers 1. Tom had b books for

More information

Kwan went to the store with $20 and left the store with his purchases and $7.35. How much money did Kwan spend?

Kwan went to the store with $20 and left the store with his purchases and $7.35. How much money did Kwan spend? Name Score Benchmark Test 1 Math Course 2 For use after Lesson 0 1. (1) At Washington School there are 2 classrooms and an average of 25 students in each classroom. Which equation shows how to find the

More information

2018 Pascal Contest (Grade 9)

2018 Pascal Contest (Grade 9) The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca 018 Pascal Contest (Grade 9) Tuesday, February 7, 018 (in North America and South America) Wednesday, February 8, 018 (outside of

More information

MATHEMATICS SUBTEST PRACTICE TEST APPENDIX VERSION 2: Multiple-Choice Question Analyses

MATHEMATICS SUBTEST PRACTICE TEST APPENDIX VERSION 2: Multiple-Choice Question Analyses MATHEMATICS SUBTEST PRACTICE TEST APPENDIX VERSION : Multiple-Choice Question Analyses Copyright 016 Pearson Education, Inc. or its affiliate(s). All rights reserved. Pearson and its logo are trademarks,

More information

AUSTRALIAN ISLAMIC COLLEGE Western Australian Curriculum Mathematics 2018 Year 8 Holiday Homework

AUSTRALIAN ISLAMIC COLLEGE Western Australian Curriculum Mathematics 2018 Year 8 Holiday Homework AUSTRALIAN ISLAMIC COLLEGE Western Australian Curriculum Mathematics 2018 Year 8 Holiday Homework Name: Student ID: Teacher: Instructions: Show your working. Demonstrate clear understanding. Include the

More information

Year 6 Problem Solving Part 2

Year 6 Problem Solving Part 2 Yimin Math Centre Year 6 Problem Solving Part 2 Student Name: Grade: Date: Score: Table of Contents 4 Problem Solving Part 4 1 4.1 Clock Problem...................................... 1 4.2 Book Problem.......................................

More information

MATHCOUNTS 2005 State Competition Sprint Round Problems 1 30

MATHCOUNTS 2005 State Competition Sprint Round Problems 1 30 MATHCOUNTS 2005 State Competition Sprint Round Problems 1 30 Name School Chapter DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of 30 problems. You will have 40

More information

Mathematics Challenge 2014

Mathematics Challenge 2014 Mathematics Challenge 014 5 th January 014 YEAR 7 Model Answers We provide these model answers of our CWN: Mathematics Challenge 014 exam to help parents. Please note that for some problems there are more

More information

Massachusetts Tests for Educator Licensure (MTEL )

Massachusetts Tests for Educator Licensure (MTEL ) Massachusetts Tests for Educator Licensure (MTEL ) Version 2 BOOKLET 2 Mathematics Subtest Copyright 2016 Pearson Education, Inc. or its affiliate(s). All rights reserved. Evaluation Systems, Pearson,

More information

MockTime.com. Subject Questions Marks Time -Ve Maths hrs 1/3 CDS MATHEMATICS PRACTICE SET

MockTime.com. Subject Questions Marks Time -Ve Maths hrs 1/3 CDS MATHEMATICS PRACTICE SET 170 CDS MATHEMATICS PRACTICE SET Subject Questions Marks Time -Ve Maths 100 100 2 hrs 1/3 Q1. Which one of the following is correct? The sum of two irrational numbers (a) is always a natural or irrational

More information

( ) Chapter 7 ( ) ( ) ( ) ( ) Exercise Set The greatest common factor is x + 3.

( ) Chapter 7 ( ) ( ) ( ) ( ) Exercise Set The greatest common factor is x + 3. Chapter 7 Exercise Set 7.1 1. A prime number is an integer greater than 1 that has exactly two factors, itself and 1. 3. To factor an expression means to write the expression as the product of factors.

More information

101 Must Solve Quant Questions Before CAT 2018

101 Must Solve Quant Questions Before CAT 2018 101 Must Solve Quant Questions Before CAT 2018 ( to discuss visit http://) 1. How many integral pairs (x, y), where 0< x, y < 1000, satisfy 141x + 517y = 4158? A. 0 B. 1 C. 2 D. More than 2 2. Virat and

More information

1 Adda247 No. 1 APP for Banking & SSC Preparation Website: bankersadda.com sscadda.com store.adda247.com

1 Adda247 No. 1 APP for Banking & SSC Preparation Website: bankersadda.com sscadda.com store.adda247.com 1 Adda247 No. 1 APP for Banking & SSC Preparation S46. Ans.(d) Sol. Let width of the path = x cm So, length of the park will be = (x + 4) cm So, 4 3 (Area of path) = Area of the park Solutions => 4 [x(x

More information

Solutions to Practice Problems in the Text

Solutions to Practice Problems in the Text Solutions to Practice Problems in the Text Chapter One: Fundamentals of Mathematical Modeling Practice Set 1-1. d = rt 1 = 0t [Divide both sides by 0.] t =. hours. d = rt 170 = r(.) [Divide both sides

More information

Materials for assessing adult numeracy

Materials for assessing adult numeracy Materials for assessing adult numeracy Number Task Write this number in figures. Two hundred and seventy two thousand four hundred and twenty nine. In which of these numbers is the 7 worth seventy? Write

More information

Data Sufficiency. 1. If 2 x (7 y ) = z, what is the value of z?

Data Sufficiency. 1. If 2 x (7 y ) = z, what is the value of z? Data Sufficiency Directions: Data Sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements

More information

UNC Charlotte 2006 Comprehensive

UNC Charlotte 2006 Comprehensive March 6, 2006. What is the sum of the digits of the integer solution to 4? (A) 5 (B) 6 (C) 8 (D) 9 (E) 4 + 27 x = 2. In a box there are red and blue balls. If you select a handful of them with eyes closed,

More information

FOURTH GRADE MATH PRACTICE TEST 7

FOURTH GRADE MATH PRACTICE TEST 7 1. Mrs. Hanks went to the grocery store and purchased a bag of grapes that weighed 1.97 pounds. Mrs. Norton purchased a bag of grapes that weighed 0.48 pounds less than the bag of grapes Mrs. Hanks purchased.

More information

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in Grade 7 or higher. Problem C A Time For Change A customer

More information

1. Relay 1: (a) A man born in the first half of the nineteenth century was x years old in the year x 2. In what year was he born?

1. Relay 1: (a) A man born in the first half of the nineteenth century was x years old in the year x 2. In what year was he born? 1. Relay 1: (a) A man born in the first half of the nineteenth century was x years old in the year x 2. In what year was he born? (b) Let Z = a 6 90. The points A, B, and C are on a circle O. The tangent

More information

SSC CGL PAPER 16 th August 2015 Morning Shift Part C Quantitative Aptitude

SSC CGL PAPER 16 th August 2015 Morning Shift Part C Quantitative Aptitude SSC CGL PAPER 6 th August 0 Morning Shift Part C Quantitative Aptitude 0. Let C and C be the inscribed and circumscribed circles of a triangle with sides cm, cm and cm then c. Sol. c. 9 6 radius of C =

More information

PART II Section A or 5

PART II Section A or 5 MATHEMATICS CONTEST 2017 ANSWER KEY PART I Section A 1. 338 2. 3 days 3. 113 4. 20% 5. 22 or (0, 22) 6. n =100 7. 5 Section B 8. 1 9. 3 3 square units 10. x =4 11. a + b =34 12. 2584 Section C 13. a =20,

More information

Polynomials. Lesson 6

Polynomials. Lesson 6 Polynomials Lesson 6 MPMD Principles of Mathematics Unit Lesson 6 Lesson Six Concepts Introduction to polynomials Like terms Addition and subtraction of polynomials Distributive law Multiplication and

More information

3. Pair of linear equations in two variables (Key Points) An equation of the form ax + by + c = 0, where a, b, c are real nos (a 0, b 0) is called a linear equation in two variables x and y. Ex : (i) x

More information

Section A (For class 6 th, 7th & 8 th ) 1. A bat ate 1050 dragon flies on four consecutive nights. Each night she ate 25 more than on the night before. How many did she eat on first night? (a) 225 (b)

More information

Solve each system by graphing. Check your solution. y =-3x x + y = 5 y =-7

Solve each system by graphing. Check your solution. y =-3x x + y = 5 y =-7 Practice Solving Sstems b Graphing Solve each sstem b graphing. Check our solution. 1. =- + 3 = - (1, ). = 1 - (, 1) =-3 + 5 3. = 3 + + = 1 (, 3). =-5 = - 7. = 3-5 3 - = 0 (1, 5) 5. -3 + = 5 =-7 (, 7).

More information

ACT MATH TEST. Pre-Algebra and Elementary Algebra

ACT MATH TEST. Pre-Algebra and Elementary Algebra Pre-Algebra and Elementary Algebra Of the 60 questions, 14 will relate to pre-algebra and 10 to elementary algebra. The pre-algebra and elementary algebra questions will cover the following topics: Arithmetic

More information

GREEN SKILL DRILL 1. Answers Name. Show ALL work! 1) Express as a common fraction: 2) Express

GREEN SKILL DRILL 1. Answers Name. Show ALL work! 1) Express as a common fraction: 2) Express GREEN SKILL RILL Name Show LL work! ) Express as a common fraction: 7 ) Express as a common fraction in lowest terms. 7 ) Find the number which appears the way from to on the number line. ) Express in

More information

SIMPLIFICATION SOLVED EXAMPLES

SIMPLIFICATION SOLVED EXAMPLES SIMPLIFICATION I. BODMAS Rule: This rule depicts the correct sequence in which the operations are to be executed,so as to find out the value of a given expression. Here, B stands for bracket, O for of,

More information