Maths Olympiad Practice Test 1 — IMO-style (Class 4)
A free Maths, Science, English and Reasoning Olympiads (IMO, NSO, IEO style) practice paper for Grade 4 in the format of the real test: 35 questions in 60 minutes, covering Logical Reasoning; Mathematical Reasoning; Everyday Mathematics; Achievers' Section. 60 minutes, no calculator. Choose one answer for each question. Questions in the Logical Reasoning, Mathematical Reasoning and Everyday Mathematics sections carry 1 mark each; questions in the Achievers' Section carry 2 marks each (40 marks in all). There is no negative marking, so answer every question. On this portal each correct answer counts once. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
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Q1. Find the next number in the series: 3, 5, 9, 17, 33, ?
Q2. Which letter comes next? B, E, I, N, ?
Q3. In a certain code, CAT is written as 24 and BAT is written as 23. How is COW written in that code?
Q4. Kavya walks 8 m towards the North. She turns left and walks 5 m. She turns left again and walks 8 m. Finally she turns left and walks 2 m. Where is she now from her starting point?
Q5. In a row of 30 children, Arjun is 12th from the left end. Meena is 5 places to the right of Arjun. What is Meena's position from the right end?
Q6. Find the missing number: 2 : 8 :: 3 : 27 :: 5 : ?
Q7. A mirror is placed along the dotted line on the right of the figure. Which option shows the mirror image of the figure?
Q8. How many triangles are there in the figure below?
Q9. A square sheet of paper is folded twice as shown and then a hole is punched through all the layers. What does the sheet look like when it is opened out?
Q10. Which figure comes next in the series?
Q11. What is the difference between the place values of the two 7s in the number 4,75,172?
Q12. XLIV + XVI = ?
Q13. A number rounded to the nearest hundred is 4,300. Which of these could be the number?
Q14. Which fraction is NOT equal to 3/5?
Q15. Find the number in the box: 9 × ☐ + 14 = 7 × 11
Q16. How many numbers from 1 to 100 are multiples of both 4 and 6?
Q17. A square has the same perimeter as a rectangle that is 11 cm long and 5 cm wide. What is the area of the square?
Q18. Which of these lengths is the greatest?
Q19. The bar graph shows the fruits sold at a stall on Sunday. How many more bananas and oranges together were sold than apples and mangoes together?
Q20. Using each of the digits 3, 0, 7 and 5 exactly once, Nikhil makes the greatest and the smallest 4-digit numbers. What is their sum?
Q21. Aman buys 3 pens at ₹18.50 each and a notebook for ₹42.75. He pays with a ₹100 note. How much change does he get?
Q22. A train leaves Pune at 9:45 a.m. and reaches Hyderabad at 2:20 p.m. the same day. How long is the journey?
Q23. 5 March of a year is a Monday. What day of the week is 1 April of the same year?
Q24. A jug holds 2 L 250 mL of lemonade. How many glasses of 150 mL each can be filled from it?
Q25. A packet of 6 pencils costs ₹45 and a packet of 10 pencils costs ₹70. Riya needs exactly 30 pencils. What is the least amount she can pay?
Q26. A bus travels 45 km every hour. How far does it travel in 3 hours 20 minutes?
Q27. A box with 12 identical tins weighs 5 kg 400 g. The empty box weighs 600 g. What is the weight of one tin?
Q28. Priya's school starts at 7:50 a.m. She needs 25 minutes to get ready and 35 minutes to walk to school. What is the latest time she can wake up and still reach on time?
Q29. Ravi and Sita together have ₹250. Ravi has ₹40 more than Sita. How much money does Sita have?
Q30. A rectangular garden is 24 m long and 15 m wide. A wire fence is put all around it. The wire costs ₹12 per metre. What is the cost of the wire?
Q31. What is the smallest number that leaves a remainder of 1 when divided by 2, 3, 4, 5 or 6, but leaves no remainder when divided by 7?
Q32. The sum of the ages of a mother and her daughter is 50 years. Five years ago, the mother was 7 times as old as the daughter. How old is the mother now?
Q33. AB and BA are two-digit numbers made from two different digits A and B. AB + BA = 132 and A is 2 more than B. What is the number AB?
Q34. How many squares of all sizes are there in the figure below?
Q35. A clock gains 3 minutes every hour. It is set to the correct time at 8:00 a.m. What time will it show when the correct time is 4:00 p.m. on the same day?
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