Before you start the IVMO challenge, please read the following:
 There are 40 multiple choice questions in the challenge, each with 5 possible answers.
 Questions 1 – 25 each carry 2 marks, Questions 26 – 35 each carry 3 marks, and Questions 36 – 40 each carry 4 marks.
 The challenge is one hour long.
 Once you click on “Start” a clock will countdown and at the end of one hour your answers will be automatically saved and submitted.
 You can end the test before that by clicking on “Submit Test” on the final question.
 The grid of squares at the top will show you which questions you have answered.
 You can skip a question and come back to it later or revisit any question you have already answered by clicking on any question number in the grid.
 You will need paper for rough workings.
 You must not use a calculator or any other electronic device.
All the Best!!!
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Question 1 of 40
1. Question
2 point(s)Questions 1 – 25: Score 2 marks for each correct answer and 0 marks for each incorrect answer.
11 − 1.1 + 0.11 − 0.011

Question 2 of 40
2. Question
2 point(s)Which of the following is not a multiple of 9?

Question 3 of 40
3. Question
2 point(s)Which of the following is 5 less than a square number?

Question 4 of 40
4. Question
2 point(s)What is the whole number remainder when 21021 is divided by 876?

Question 5 of 40
5. Question
2 point(s)2023 has a square factor whose square root ends in 7. What is that square root?

Question 6 of 40
6. Question
2 point(s)7946 × 9992

Question 7 of 40
7. Question
2 point(s)The digital root of 673 is 7 and the digital root of 341 is 8. What is the digital root of 673 × 341 ?

Question 8 of 40
8. Question
2 point(s)What is 36.4% of $25

Question 9 of 40
9. Question
2 point(s)What is the decimal equivalent of the fraction, 642 ? 750 
Question 10 of 40
10. Question
2 point(s)The devinculated form of 62 is 58. What is the devinculated form of 7203451?

Question 11 of 40
11. Question
2 point(s)The square of a number is 18225. What is the number?

Question 12 of 40
12. Question
2 point(s)0.0000426×0.005

Question 13 of 40
13. Question
2 point(s)The One Day International World Cup Final took place at Narendra Modi Stadium in Ahmedabad on 19th November. It was a sellout event. The stadium is the largest in the world and can seat 132000 people. Each ticket cost $353. What was the total amount taken from sale of tickets?

Question 14 of 40
14. Question
2 point(s)62 2 − 34 5 7 8 
Question 15 of 40
15. Question
2 point(s)Which fraction is the smallest?

Question 16 of 40
16. Question
2 point(s)Amrita buys silk cloth to make a sari. She is given a 20% discount at the store and pays 23040 Rupees. What was the original price of the cloth?

Question 17 of 40
17. Question
2 point(s)A, B and C are three digits. B and C add up to 10.
A B x A C 4216 What is the value of A?

Question 18 of 40
18. Question
2 point(s)Using Flag Division (Straight division) what is the third step in the calculation of 62995 ÷ 43?

Question 19 of 40
19. Question
2 point(s)A digital clock shows the time 15:37. In how many minutes will it be 1 O’Clock in the morning?

Question 20 of 40
20. Question
2 point(s)The famous artist and inventor, Leonado da Vinci, wrote his notes in mirror writing, back to front. How many letters in this sentence would look the same in mirror writing?
VEDIC MATHEMATICS IS AMAZING, FUN AND MYSTERIOUS

Question 21 of 40
21. Question
2 point(s)Callisto and Europa are two moons of Jupiter with orbital periods of 408 hours and 84 hours. If they start in line, after how many hours will they be in the same position again?

Question 22 of 40
22. Question
2 point(s)A train travels from Delhi to Bengaluru, stopping at Nagpur and Hyderabad on the way. The distance from Delhi to Hyderabad is 1661 km. From Nagpur to Bengaluru is 1656 and from Delhi to Bengaluru is 2742 km. How far is it from Nagpur to Hyderabad?

Question 23 of 40
23. Question
2 point(s)In a class of 36 children, the ratio of boys to girls is 4 : 5. If 4 boys leave and 8 girls join the class, what will then be the ratio of boys to girls?

Question 24 of 40
24. Question
2 point(s)If a = 6, b = −3, and c = 9, what is the value of, 2c(a^{2 }+9b)−3(3c −9b)?

Question 25 of 40
25. Question
2 point(s)Simplify, a(3b)^{3} (2ab)^{2} 
Question 26 of 40
26. Question
3 point(s)Questions 26 – 35: Score 3 marks for each correct answer and 1 mark for each incorrect answer
Find the value of x in the equation,
x +1 − x −2 = x + 4 3 6 9 
Question 27 of 40
27. Question
3 point(s)A sequence starts, 2, 8, 14, 20, 26, …. When it continues, what is the 100th number in the sequence?

Question 28 of 40
28. Question
3 point(s)A set of five different integers have a mean value of 6 and their median is 5. The smallest number is 3 and when all five are multiplied the result is 4800. What is the largest of the five numbers?

Question 29 of 40
29. Question
3 point(s)My roof has a leak so I place a 2 litre bucket on the floor to catch the drips. Each drip has a volume of 1/3 of a millilitre. A drip falls into the bucket every 3 seconds. How long does it take for the bucket to be filled? (1 litre = 1000 millitlitres)

Question 30 of 40
30. Question
3 point(s)Banko Supermarket sells 8 kg of flour for $5.76. Bankit Store sells 12 kg of flour for $6.48. How much will I save when buying 20 kg of flour at Bankit Store by comparison with buying the same amount at Banko Supermarket?

Question 31 of 40
31. Question
3 point(s)A £2 coin has a diameter of 28.4 millimetres. If enough £2 coins are set out in a single row 1 kilometer long, approximately what would be the total value?

Question 32 of 40
32. Question
3 point(s)I add up all the even numbers between 1 and 101. Then from my total I subtract all the odd numbers from 0 to 100. What is my answer?

Question 33 of 40
33. Question
3 point(s)Triangle ABC is equilateral and D is the midpoint of BC. Triangle AEF is rightangled and isosceles. What is the size of angle x?

Question 34 of 40
34. Question
3 point(s)Dominoes is a game played with small tiles, each with a number of spots from 0 to 9. Each tile has two halves. No two tiles are the same. A complete set of domino tiles uses all possible combinations of spots once. How many dominoes are there in a complete set?

Question 35 of 40
35. Question
3 point(s)There are many different types of rectangle to be seen in this grid. ABCD is one type and PQRS is another type. What is the total number of all types?

Question 36 of 40
36. Question
4 point(s)Questions 36 – 40: Score 4 marks for each correct answer and 2 marks for each incorrect answer.
What fraction of the square is shaded?

Question 37 of 40
37. Question
4 point(s)Images on a computer screen are made up of tiny dots called pixels. Each pixel is a square with edge length 1/96 of an inch. A certain screen has 2073600 pixels. What is its area in square inches?

Question 38 of 40
38. Question
4 point(s)A rectangular field measures 48 metres by 92 metres. A barbed wire fence is to be placed around the field for which wooden posts are needed every 2 metres. How many posts are required altogether?

Question 39 of 40
39. Question
4 point(s)One morning, 84 aeroplanes are on stand (parked) at Heathrow airport in London which has two runways. At 6 am aeroplanes start landing at intervals of 90 seconds. At the same time, aeroplanes start taking off at intervals of 120 seconds. How many aeroplanes could there be on stand at 11.30 am?

Question 40 of 40
40. Question
4 point(s)This shape is made from three stacked cuboids as shown. Each cuboid has a square base with edge lengths 15 cm, 10 cm and 5 cm. All three have the same height of 4 cm. What is the total surface area of the shape, including the base?