Math Olympiad 2023-24 Instructions
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Questions and Answers

Which of the following numbers is in the International Number System?

  • 4,32,305 (correct)
  • 3,234,300
  • 12,35,300
  • 1,12,400

If the place value of 6 in 5602 is interchanged with the place value of 0 in the number, then the new number will be?

5026

The number 643208 in expanded form will be:

600000 + 40000 + 3000 + 200 + 8

We have the following numbers: a) 34,500 b) 12,204 c) 13,408 Which of these is nearest to 10,000?

<p>Both (b) and (c) (B)</p> Signup and view all the answers

What largest 5-digit number can be formed using the digits 3, 2, 0, 8, 4?

<p>84320</p> Signup and view all the answers

Preeti has studied Mathematics using the Indian syllabus but her friend Sukhi has learnt using the Roman number system. Preeti wants to let her know the number '732' in the Roman number system. Which of these shows the correct representation of the same?

<p>DCCXXII (C)</p> Signup and view all the answers

The Roman number illustrated in the image is equivalent to?

<p>80 (A)</p> Signup and view all the answers

If we subtract 32 from 70, then what will be the value in Roman number system?

<p>XXXVIII (A)</p> Signup and view all the answers

Which number has no symbol in the Roman number system?

<p>0 (A)</p> Signup and view all the answers

Which of these will be the first number if we arrange them in ascending order? XXII, XVIII, XXX, VII

<p>VII (D)</p> Signup and view all the answers

Mohan, the gardener, plants roses in his square garden. He planted a total of 140 seeds and he wants 20 rose plants in each row. How many rows should he make to have such an arrangement?

<p>7</p> Signup and view all the answers

Which number should be multiplied by 6 to get the value equal to (50 - 2)?

<p>8</p> Signup and view all the answers

Which of these gives the greatest value?

<p>12 times 4 (B)</p> Signup and view all the answers

If 30:15 :: 60: ?

<p>30</p> Signup and view all the answers

Which of the following is not divisible by 6?

<p>1051 (C)</p> Signup and view all the answers

Which of the following is the net of a pyramid?

<p>C (B)</p> Signup and view all the answers

Identify the correct statement. a) A line segment has one end point. b) A ray travels in one direction. c) A line has both length and width. d) A ray never ends.

<p>(b) and (d) (D)</p> Signup and view all the answers

Find the correct match. a) Square - 4 Corners- 4 Diagonals b) Rectangle - 4 Corners - 2 Diagonals c) Triangle - 2 Corners - 0 Diagonal d) Circle - 7 Corners - 0 Diagonal

<p>Both (b) and (c) (A)</p> Signup and view all the answers

Which figure has 0 sides?

<p>Circle (D)</p> Signup and view all the answers

Rohan's father gave him some coins. He arranged them in a stack by placing all the coins one above the other. Which 3-D shape does it represent?

<p>Cylinder (C)</p> Signup and view all the answers

Arhaan walks 3 rounds around a rectangular park. The length of the park is 30m and the breadth is half of the length. How many meters have been covered by Arhaan?

<p>270</p> Signup and view all the answers

Rakesh is fencing his square garden. Each side of his garden measures 70m and the cost of fencing per meter is Rs.3.50. If he gives Rs.1000 to the gardener for doing the fencing, then how much money will he get back in return?

<p>20</p> Signup and view all the answers

Preeti is a fashion designer and she is making square shaped patches for her dress. Each patch has a length of 15cm. If she wants to make 40 such patches, what area of cloth will she need?

<p>9000</p> Signup and view all the answers

What will be the length of EF in the following figure?

<p>9 (B)</p> Signup and view all the answers

What will be the perimeter of the given figure?

<p>44 (C)</p> Signup and view all the answers

Study the pictograph properly. Temperature of Delhi in a week Monday Tuesday Wednesday Thursday Friday Saturday Sunday = 10 degrees Which day has the least temperature?

<p>Sunday (A)</p> Signup and view all the answers

The chart below shows the number of hours studied by Aman. Hours studied by Aman What is the average of the hours studied by Aman in these 5 days?

<p>2.9 (B)</p> Signup and view all the answers

A poll was taken in the class by the class teacher to understand the favourite ice cream of students. There are a total of 50 students in the class. Flavours of Ice creams liked by students The sum of the students who like Blueberry and Cotton Candy is how much less than the number of students who like Chocolate ice cream?

<p>30 (C)</p> Signup and view all the answers

An automatic Challan was triggered for vehicles breaking the traffic rules. The report generated was based on this graph. Vehicles who broke the Traffic rules What is the difference in the number of Challans against Truck drivers and Bus drivers?

<p>13 (D)</p> Signup and view all the answers

There are 50 students in each class. The graph shows the number of students present in each class on Monday. Attendance of students in different classes Which class has the least number of absentees?

<p>Class 3 (D)</p> Signup and view all the answers

Suchita thinks of a decimal number where tenth digit is 2, hundredth digit is 5, tens digit is 3 more than the ones digit. If the tens digit is 4, then what is the number thought by Suchita?

<p>41.25 (A)</p> Signup and view all the answers

What will be the simplest value of: 14.28 + 31.29 + 31.05 - 25.64 - 2.80?

<p>41.18 (B)</p> Signup and view all the answers

Which one is greater?

<p>42.05 + 0.20 (C)</p> Signup and view all the answers

Priyanshu ate pizza for Rs. 124.90 (including taxes). He gave Rs. 200 at the counter. How much money should he ask for in return?

<p>70.05 (B)</p> Signup and view all the answers

Kirti has Rs. 14.50. Priyank gives her Rs. 22.35 and Sheetal gives her Rs. 12. How much does Kirti have now? (Round it off to whole number)

<p>49 (B)</p> Signup and view all the answers

Flashcards

Roman Number System

A system of writing numbers using letters, where each letter represents a specific numerical value, and placement matters. For example, I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, and M = 1000.

Place Value

A position of a digit in a number that determines its value. For example, in the number 5602, the place value of 6 is hundreds, while 0's place value is tens.

International Number System

A way of writing numbers using digits 0-9, where each digit's position has a specific value. For example, 3,234,300 is expressed in the International Number System because it uses commas to group digits in thousands.

Expanded Form

A way to expand a number by adding the values of each digit multiplied by its corresponding place value. For example, the expanded form of 643208 is 600000 + 40000 + 3000 + 200 + 8.

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Nearest Number

A number that is closest to a given number, meaning it has the smallest difference from that number. For example, the number closest to 10,000 from 34,500, 12,204, and 13,408 is 12,204.

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Ascending Order

The arrangement of numbers from smallest to largest.

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Descending Order

The arrangement of numbers from largest to smallest.

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Square

A group of 4 straight lines joined at their endpoints to form a closed shape with 4 equal sides and 4 right angles. It has 4 corners and 4 diagonals.

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Rectangle

A group of 4 straight lines joined at their endpoints to form a closed shape with opposite sides equal and 4 right angles. It has 4 corners and 2 diagonals.

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Triangle

A group of 3 straight lines joined at their endpoints to form a closed shape with 3 corners and 0 diagonals.

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Circle

A closed shape with 0 sides and 0 corners. It has a curved outline, and every point on the outline is an equal distance from the center.

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Perimeter

A measure of the length around a two-dimensional shape.

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Area

The amount of space a two-dimensional shape occupies. It is measured in square units like square centimeters or square meters.

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Ratio

A ratio where two quantities are compared. It can be expressed as a fraction, decimal, or percentage. For example, 30:15 can be expressed as a ratio.

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Proportion

A special type of ratio used to compare a part to a whole, often expressed as a fraction, decimal, or percentage. For example, if 10 out of 20 students like pizza, then 10/20 or 50% represent the proportion of pizza lovers in the class.

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Pictograph

A diagram that uses pictures or symbols to represent data. Each symbol represents a specific number or value, making it easy to visualize the information.

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Bar Graph

A type of diagram that uses bars of different lengths to compare data. Each bar represents a different category or group, and the length of the bar corresponds to the value of the category.

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Decimal Number

Numbers that can be expressed as a fraction, a decimal, or a mix of both. They include whole numbers and parts of whole numbers. For example, 2.5, 4.12, and 1.0 are decimal numbers.

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Average

The average value of a set of numbers. It is calculated by adding all the numbers in the set and then dividing by the total number of numbers in the set.

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Cone

A three-dimensional shape with a circular base and a curved surface that tapers to a point at the top. It has one vertex (point) and a curved surface.

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Cube

A three-dimensional shape with six square faces, all equal in size. It has 12 edges and eight vertices (corners).

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Sphere

A three-dimensional shape with a curved surface, where every point on the surface is an equal distance from the center. It has no edges or vertices.

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Cylinder

A three-dimensional shape with two circular bases and a curved surface connecting them. It has no vertices (corners).

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Fencing

The act of enclosing a shape with a barrier or covering. In the context of gardens, fencing is used to mark the boundaries and protect the plants.

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Perimeter (in the context of fencing)

A measure of the total length of the sides of a shape. In the given context, finding the perimeter refers to calculating the total length of the fencing required for the square garden.

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Area (in the context of patches)

A measure of the amount of surface a shape covers. In the given context, finding the area refers to calculating the amount of cloth needed for the square patches.

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Temperature

A measure of how hot or cold something is. In the given context, the pictograph shows temperature readings for different days of the week.

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Pictograph (in the context of student attendance)

A type of chart that represents data using symbols or icons. In the given context, the chart represents the number of students present on Monday in different classes.

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Study Notes

Instructions and Information

  • Candidate Information: Complete OMR sheet with personal details (name, school code, class, roll number, mobile number) within 20 minutes prior to exam start.
  • Question Paper Sections: Four sections: General Math (20 questions), Reason/Assertion (5 questions), Case Study (5 questions), and Achievers Section (5 questions). Achievers section questions are worth 2 marks each, others are 1 mark each. Total questions are 35.
  • Answering: Use HB pencil or blue/black pen to darken the corresponding circles on the OMR sheet. Only one correct answer per question.
  • Permitted Aids: Calculator is not allowed
  • Important Note (clarification): Every question must be answered (no failing grades)

Math Olympiad 2023-24 - Further Instructions

  • Initial 20 minutes: Dedicated to completing personal information on the OMR sheet before the exam begins.
  • OMR Completion: Enter personal details accurately onto the OMR sheet (name, school code, class, roll number, mobile number).
  • Sections
  • General Math
  • Reason/Assertion
  • Case Study
  • Achievers Section
  • Marking: Achiever Section questions carry 2 marks, all others are worth 1 mark.
  • Answering Mechanism: Use an HB pencil or pen to darken the correct circle on the OMR sheet, marking your selected answer.
  • Paper Handing over: The OMR sheet should be handed over to the invigilator at the end of the test.
  • Personal Information (pre-exam): Write personal details in the provided section of the OMR sheet before starting the exam.

Mathematics Questions (Sample from Provided Pages)

  • Number System, Place Value: Questions covering place value and international number system
  • Expanded Form: Questions to convert numbers to expanded form.
  • Roman Numerals: Converting to and identifying Roman numerals.
  • Rounding, Order of Magnitude: Finding numbers nearest to 10,000.
  • Number Patterns (word problems): Questions about forming largest/smallest numbers.
  • Time Calculations: Calculations and conversions involving time.
  • Divisibility: Questions about divisibility by 8 or 6.
  • Geometric Shapes: Identifying nets of pyramids
  • Basic Geometry: Understanding line segments, rays, and lines.
  • Pictographs: Reading and interpreting data from pictographs (temperature).
  • Bar Graphs: Interpreting data from bar graphs (hours studied).
  • Data Analysis: Using data to find averages, sums, or differences

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Description

Prepare for the Math Olympiad with these essential instructions. Familiarize yourself with the OMR sheet requirements, question paper structure, and permitted aids before the exam. Ensure that you complete the personal information section accurately within the first 20 minutes.

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