Reasoning Olympiad Practice Test 1 (Class 9)
A free Maths, Science, English and Reasoning Olympiads (IMO, NSO, IEO style) practice paper for Grade 9 in the format of the real test: 50 questions in 60 minutes, covering Verbal Reasoning; Non-Verbal Reasoning; Analytical Reasoning; Challenge Section. 60 minutes, no calculator. Choose one answer for each question. Questions in the Verbal, Non-Verbal and Analytical Reasoning sections carry 1 mark each; questions in the Challenge Section carry 3 marks each (60 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:
1, 2, 6, 15, 31, 56, ?
Q2. Find the next letter in the series:
B, D, G, K, P, ?
Q3. Find the next term in the series:
AZ, CX, FU, JQ, ?
Q4. Cardiology is related to Heart in the same way as Ornithology is related to ______.
Q5. Find the missing number:
4 : 68 :: 7 : 350 :: 9 : ?
Q6. Which word is the odd one out?
Q7. Which number is the odd one out?
143, 187, 221, 289
Q8. Which letter group is the odd one out?
Q9. In a certain code, PAINT is written as QCLRY. How is BRUSH written in that code?
Q10. In a certain language, “sun is bright” is written as “ka lo mi”, “bright red flower” is written as “pi mi zo” and “red sun rises” is written as “zo ka tu”. What is the code for “flower”?
Q11. If the English alphabet is written in reverse order (Z to A), which letter will be 8th to the left of the 16th letter from the right?
Q12. How many pairs of letters are there in the word MOTHERLAND which have as many letters between them in the word as in the English alphabet (counting forwards or backwards)?
Q13. Neha walks 10 m towards the north. She turns right and walks 6 m, turns right again and walks 18 m, and then turns left and walks 9 m. How far is she from her starting point, and in which direction?
Q14. One morning after sunrise, Arjun and Kiran were standing face to face. Arjun’s shadow fell exactly to his right. Which direction was Kiran facing?
Q15. In a class of 45 students, Tara ranks 12th from the top. Rohan ranks 8 places below Tara. What is Rohan’s rank from the bottom?
Q16. Pointing to a young man, Nisha said, “His mother is the only daughter of my father.” How is the young man related to Nisha?
Q17. P + Q means P is the mother of Q; P − Q means P is the brother of Q; P × Q means P is the father of Q; P ÷ Q means P is the sister of Q. Which expression shows that A is the paternal uncle of C?
Q18. Statements: All pens are boxes. Some boxes are tables.
Conclusions: I. Some pens are tables. II. Some tables are boxes.
Which conclusion(s) follow?
Q19. What is the smaller angle between the hour hand and the minute hand of a clock at 7:20?
Q20. If 15th August 2025 was a Friday, what day of the week will 26th January 2027 be?
Q21. Which option completes the figure so that the whole square is symmetrical about both of the thick lines?
Q22. Which figure comes next in the series?
Q23. Which figure comes next in the series?
Q24. Which figure should replace the question mark?
Q25. Which figure should replace the question mark?
Q26. Figure 1 is related to Figure 2 in a certain way. In the same way, Figure 3 is related to which option?
Q27. Three of the figures are the same figure turned to different positions. Which figure is different?
Q28. A mirror is placed along the dashed line, to the right of the figure. Which option shows the mirror image of the figure?
Q29. Which option is the water image of the figure (the image seen in water along the dashed line below it)?
Q30. The figure is first turned 90° anticlockwise and then reflected in a vertical mirror. Which option shows the result?
Q31. In which option is figure X hidden exactly as it is (same size, not turned or flipped)?
Q32. A square sheet of paper is folded in half from left to right (1), then folded in half again from top to bottom (2). A triangular hole is then punched through all the layers (3). What does the sheet look like when it is unfolded?
Q33. A square sheet of paper is folded in half from bottom to top (1), then from right to left (2). The dark parts are then cut away (3). What does the sheet look like when it is unfolded?
Q34. How many triangles are there in the figure?
Q35. How many squares are there in the figure?
Q36. How many triangles are there in the figure (a regular pentagon with all its diagonals drawn)?
Q37. Two different positions of the same die are shown. Which number is on the face opposite 2?
Q38. The net is folded to make a cube (the symbols are on the outside). Which cube can be made from this net?
Q39. A solid cube of side 5 cm is painted on all its faces except the bottom face. It is then cut into 1 cm cubes. How many of the small cubes have paint on exactly two faces?
Q40. Divide the nine figures into three groups of three so that the figures in each group share a common feature. Which grouping is correct?
Q41. Six friends — Anil, Bela, Chetan, Divya, Esha and Farhan — sit in a row, all facing north.
• Chetan sits at one of the ends.
• Exactly two people sit between Chetan and Divya.
• Bela sits immediately to the right of Divya.
• Esha does not sit at an end and is not next to Bela.
• Farhan sits somewhere to the left of Anil, but not next to Chetan.
• Anil does not sit at an end.
Who sits third from the left end?
Q42. Six people — P, Q, R, S, T and U — sit around a circular table, facing the centre.
• Q sits directly opposite P.
• R sits immediately to the left of Q.
• U sits next to P.
• T does not sit next to P.
• S does not sit immediately to the left of P.
Who sits directly opposite S?
Q43. Five boxes J, K, L, M and N all have different weights.
• K is heavier than L but lighter than N.
• M is heavier than J.
• L is heavier than J.
• M is heavier than K, but M is not the heaviest box.
Which box is the third heaviest?
Q44. Ira, Jay, Kavya and Laksh come from four different cities — Pune, Jaipur, Kochi and Shimla — and each studies a different subject — History, Physics, Music and Botany.
• Laksh is from Pune.
• Ira is not from Pune or Kochi, and she does not study Music.
• The student from Kochi studies Physics.
• The student from Jaipur studies Botany.
• Jay studies either History or Botany, and he is not from Shimla.
What does Ira study, and where is she from?
Q45. Six people — Gaurav, Hema, Ishaan, Jaya, Kunal and Lata — live in a six-storey building, one on each floor. The lowest floor is floor 1 and the top floor is floor 6.
• Hema lives on an even-numbered floor.
• Jaya lives on the floor immediately above Hema.
• Exactly one floor lies between Gaurav’s floor and Kunal’s floor.
• Ishaan lives on either the top floor or the bottom floor, and below Gaurav.
• Lata lives on a floor above Kunal.
Who lives on the top floor?
Q46. Find the next number in the series:
2, 3, 10, 15, 26, 35, 50, ?
Q47. In which year will the calendar of the year 2026 be repeated for the first time (the same dates falling on the same days of the week)?
Q48. At what time between 4 o’clock and 5 o’clock are the hands of a clock pointing in exactly opposite directions?
Q49. In a certain code, A @ B means A is the son of B; A # B means A is the wife of B; and A $ B means A is the brother of B. If P # Q @ R $ S, how is P related to S?
Q50. Statements: Some doctors are singers. All singers are dancers. No dancer is a poet.
Conclusions: I. Some doctors are dancers. II. No singer is a poet. III. Some doctors are not poets.
Which conclusion(s) follow?
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