CogAT-style Practice Test 1 — Quantitative Battery (Grade 5, Level 11)
A free CogAT (Cognitive Abilities Test, USA) practice paper for Grade 5 in the format of the real test: 52 questions in 30 minutes, covering Part 1 — Number Analogies: find the number that follows the same rule as the first two pairs (18 questions, 10 minutes); Part 2 — Number Puzzles: find the number that makes the number sentences true; shapes stand for numbers (16 questions, 10 minutes); Part 3 — Number Series: find the number that comes next in the series (18 questions, 10 minutes). 30 minutes in total — in the real test each part is timed separately at 10 minutes. No calculator; use scrap paper if you like. Choose the best answer and answer every question — there is no penalty for a wrong answer. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
Free · attempted online · no download
Q1. [3 → 9] [7 → 13] [10 → ?]
Q2. [12 → 7] [20 → 15] [9 → ?]
Q3. [3 → 12] [5 → 20] [8 → ?]
Q4. [18 → 6] [27 → 9] [36 → ?]
Q5. [14 → 23] [31 → 40] [46 → ?]
Q6. [4 → 24] [7 → 42] [9 → ?]
Q7. [45 → 9] [60 → 12] [85 → ?]
Q8. [3 → 7] [6 → 13] [10 → ?]
Q9. [4 → 10] [7 → 19] [9 → ?]
Q10. [9 → 4.5] [15 → 7.5] [21 → ?]
Q11. [3.5 → 6] [7.2 → 9.7] [10.8 → ?]
Q12. [12 → 6] [28 → 10] [40 → ?]
Q13. [1/2 → 1/6] [3/4 → 1/4] [2/5 → ?]
Q14. [0.4 → 4] [2.35 → 23.5] [0.07 → ?]
Q15. [1/4 → 1] [1 1/2 → 2 1/4] [2 3/4 → ?]
Q16. [6 → 6] [10 → 18] [13 → ?]
Q17. [5 → 3.5] [9 → 5.5] [2.4 → ?]
Q18. [12 → 8] [21 → 14] [4.5 → ?]
Q19. ? = 12 − 5
Q20. 9 + ? = 15
Q21. ? − 8 = 14
Q22. ? × 6 = 42
Q23. 48 ÷ ? = 8
Q24. 5 × 4 = ? + 11
Q25. ■ + 4 = 10 ● = ■ × 2 ● = ?
Q26. ■ − 7 = 15 ● = ■ ÷ 2 ● = ?
Q27. 36 ÷ 4 = ? × 3
Q28. ▲ × 3 = 27 ■ = ▲ + 5 ■ = ?
Q29. ? + 2.5 = 7
Q30. ● + ● = 18 ▲ = ● × 3 − 4 ▲ = ?
Q31. 3/4 + ? = 2
Q32. ■ × 4 = 36 ● = ■ ÷ 3 ▲ = ● + ■ ▲ = ?
Q33. ? × 0.5 = 3.5 + 1.5
Q34. ▲ + ▲ = ■ ■ + ▲ = 24 ■ = ?
Q35. 3, 6, 9, 12, 15, ?
Q36. 40, 36, 32, 28, 24, ?
Q37. 5, 12, 19, 26, 33, ?
Q38. 81, 72, 63, 54, 45, ?
Q39. 2, 4, 8, 16, 32, ?
Q40. 1, 3, 6, 10, 15, ?
Q41. 0.2, 0.5, 0.8, 1.1, 1.4, ?
Q42. 2, 7, 4, 9, 6, 11, ?
Q43. 3, 5, 9, 15, 23, ?
Q44. 96, 48, 24, 12, 6, ?
Q45. 4, 8, 7, 14, 13, 26, ?
Q46. 3/8, 5/8, 7/8, 1 1/8, 1 3/8, ?
Q47. 5, 6, 9, 14, 21, 30, ?
Q48. 2, 3, 5, 8, 13, 21, ?
Q49. 10, 20, 13, 26, 19, 38, ?
Q50. 3, 4, 8, 9, 18, 19, ?
Q51. 100, 99, 97, 93, 85, 69, ?
Q52. 1, 20, 3, 17, 5, 14, 7, ?
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