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.
6 4 7 3 5 6 2 9 8 4 6 3 + 7 1 2 
Question 2 of 40
2. Question
2 point(s)50000−3298

Question 3 of 40
3. Question
2 point(s)Which of the following is divisible by 4?

Question 4 of 40
4. Question
2 point(s)91.1−1.27

Question 5 of 40
5. Question
2 point(s)635042×11

Question 6 of 40
6. Question
2 point(s)115×115

Question 7 of 40
7. Question
2 point(s)16400÷25

Question 8 of 40
8. Question
2 point(s)By continual summing the digits of a number until only one digit remains, you arrive at the digital root. What is the digital root of 536242?

Question 9 of 40
9. Question
2 point(s)What is the remainder when 23460025 is divided by 9?

Question 10 of 40
10. Question
2 point(s)When using Vertically and crosswise to calculate 427 x 223, what is the result of the third step before any carry digits have been added?

Question 11 of 40
11. Question
2 point(s)The square of a number is 3025. What is the number?

Question 12 of 40
12. Question
2 point(s)Using Nikhilam multiplication, which of the following shows the correct calculation?

Question 13 of 40
13. Question
2 point(s)Which of the following is 5 less than a square number?

Question 14 of 40
14. Question
2 point(s)I can divide a number by 16 by repeatedly halving four times. What is 2112 ÷ 16?

Question 15 of 40
15. Question
2 point(s)1×2×3×4×5×6×7×8×9×10

Question 16 of 40
16. 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 17 of 40
17. Question
2 point(s)23 – 2 24 5 
Question 18 of 40
18. Question
2 point(s)Which fraction is the largest?

Question 19 of 40
19. Question
2 point(s)1423×1007

Question 20 of 40
20. Question
2 point(s)988×991

Question 21 of 40
21. Question
2 point(s)Which of the following is not divisible by 3?

Question 22 of 40
22. 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 23 of 40
23. Question
2 point(s)In the old British system of measures, 12 inches = 1 foot, 3 feet make 1 yard, 22 yards make 1 chain, 10 chains make 1 furlong and 8 furlongs makes 1 mile. How many yards are there in one mile?

Question 24 of 40
24. Question
2 point(s)The 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?
MATHEMATICS IS AMAZING, FUN AND CLEVER

Question 25 of 40
25. Question
2 point(s)Two rectangles are placed together as shown. What is the perimeter (distance around) the resulting shape?

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.
At a fruit farm, lemons are placed in trays each holding 24. Four trays make up one box. How many boxes are needed for 21120 lemons?

Question 27 of 40
27. Question
3 point(s)A train travels from Delhi to Bengaluru, stopping at Nagpur and Hyderabad on the way. The distance from Delhi to Bengaluru is 2742 km. From Delhi to Nagpur is 1086 and from Hyderabad to Bengaluru is 1081 km. How far is it from Nagpur to Hyderabad?

Question 28 of 40
28. Question
3 point(s)Maria bakes 240 cup cakes to sell at her school fete. She spends $80 on ingredients. She sells the cup cakes for 60 cents each. At the fete she sells 220 of her cup cakes. How much more was the money she received than the amount she spent on ingredients?

Question 29 of 40
29. Question
3 point(s)A sequence starts, 2 8, 14, 20, 26, …. When it continues, what is the 100th number in the sequence?

Question 30 of 40
30. Question
3 point(s)The four cards below are set out to show 10754. How many different numbers can be made by laying out these four playing cards (all the cards must be used for each number)?

Question 31 of 40
31. Question
3 point(s)The One Day International World Cup Final took place at Narendra Modi Stadium in Ahmedabad on 19th November. 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 32 of 40
32. Question
3 point(s)What is the top number in this addition number pyramid?

Question 33 of 40
33. Question
3 point(s)What is the next pattern in this sequence?

Question 34 of 40
34. Question
3 point(s)What fraction of the shape is shaded?

Question 35 of 40
35. Question
3 point(s)Four rectangular tiles and one small square tile are arranged into a 30 cm by 30 cm square as shown. These squares are used to tile a patio. 600 rectangular tiles and 150 small square tiles are used to tile the patio? What is the area of the patio in square metres?

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
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 37 of 40
37. Question
4 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 38 of 40
38. Question
4 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 39 of 40
39. Question
4 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 40 of 40
40. Question
4 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?