CogAT-style Practice Test 1 — Quantitative Battery (Grade 4, Level 10)
A free CogAT (Cognitive Abilities Test, USA) practice paper for Grade 4 in the format of the real test: 52 questions in 30 minutes, covering Part 1 — Number Analogies: find the number that completes the third pair using the same rule as the first two pairs; Part 2 — Number Puzzles: find the number that belongs where the question mark is; Part 3 — Number Series: find the number that should come next in the row. Three parts, 10 minutes each, as in the real test (Part 1: 18 questions, Part 2: 16, Part 3: 18). No calculator. Choose one answer for each question and answer every question — there is no penalty for guessing. Attempt it online — every question is marked instantly and the correct answers are shown at the end.
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Q1. Which number goes with the third number in the same way?
[4 → 7] [9 → 12] [6 → ?]
Q2. Which number goes with the third number in the same way?
[20 → 16] [15 → 11] [8 → ?]
Q3. Which number goes with the third number in the same way?
[3 → 6] [7 → 14] [9 → ?]
Q4. Which number goes with the third number in the same way?
[5 → 15] [12 → 22] [30 → ?]
Q5. Which number goes with the third number in the same way?
[8 → 4] [14 → 7] [20 → ?]
Q6. Which number goes with the third number in the same way?
[20 → 11] [15 → 6] [27 → ?]
Q7. Which number goes with the third number in the same way?
[4 → 12] [6 → 18] [9 → ?]
Q8. Which number goes with the third number in the same way?
[21 → 7] [12 → 4] [30 → ?]
Q9. Which number goes with the third number in the same way?
[3 → 15] [7 → 35] [8 → ?]
Q10. Which number goes with the third number in the same way?
[32 → 8] [24 → 6] [44 → ?]
Q11. Which number goes with the third number in the same way?
[6 → 24] [9 → 36] [7 → ?]
Q12. Which number goes with the third number in the same way?
[3 → 7] [5 → 11] [8 → ?]
Q13. Which number goes with the third number in the same way?
[5 → 7] [11 → 19] [10 → ?]
Q14. Which number goes with the third number in the same way?
[4 → 14] [6 → 20] [9 → ?]
Q15. Which number goes with the third number in the same way?
[10 → 10] [16 → 13] [24 → ?]
Q16. Which number goes with the third number in the same way?
[3 → 8] [6 → 23] [9 → ?]
Q17. Which number goes with the third number in the same way?
[2 → 12] [5 → 21] [8 → ?]
Q18. Which number goes with the third number in the same way?
[10 → 3] [18 → 7] [30 → ?]
Q19. Which number should replace the question mark?
? = 12 − 5
Q20. Which number should replace the question mark?
? = 8 + 9
Q21. Which number should replace the question mark?
15 − ? = 9
Q22. Which number should replace the question mark?
? + 6 = 14
Q23. Which number should replace the question mark?
? = 4 × 7
Q24. Which number should replace the question mark?
30 − ? = 18
Q25. Which number should replace the question mark?
? × 6 = 42
Q26. Which number should replace the question mark?
? = 45 ÷ 5
Q27. Which number should replace the question mark?
9 + 7 = ? + 4
Q28. Which number should replace the question mark?
6 × 4 = 30 − ?
Q29. Which number should replace the question mark?
? − 8 = 36 ÷ 4
Q30. Which number should replace the question mark?
■ + 4 = 10
● = ■ × 2
● = ?
Q31. Which number should replace the question mark?
▲ − 6 = 9
◆ = ▲ + 5
◆ = ?
Q32. Which number should replace the question mark?
■ × 3 = 24
● = ■ − 5
? = ● × 4
Q33. Which number should replace the question mark?
▲ + ▲ = 18
▲ + ● = 15
● = ?
Q34. Which number should replace the question mark?
■ × 2 = ●
● + ■ = 27
● = ?
Q35. Which number comes next?
3 6 9 12 15 ?
Q36. Which number comes next?
40 35 30 25 20 ?
Q37. Which number comes next?
7 11 15 19 23 ?
Q38. Which number comes next?
1 2 4 8 16 ?
Q39. Which number comes next?
50 44 38 32 26 ?
Q40. Which number comes next?
5 5 8 8 11 11 ?
Q41. Which number comes next?
2 3 5 8 12 ?
Q42. Which number comes next?
96 48 24 12 6 ?
Q43. Which number comes next?
4 9 7 12 10 15 ?
Q44. Which number comes next?
1 10 2 20 3 30 ?
Q45. Which number comes next?
20 18 15 11 6 ?
Q46. Which number comes next?
1 4 9 16 25 ?
Q47. Which number comes next?
2 6 3 9 6 18 ?
Q48. Which number comes next?
3 20 6 17 9 14 ?
Q49. Which number comes next?
100 90 81 73 66 ?
Q50. Which number comes next?
2 3 6 7 14 15 ?
Q51. Which number comes next?
1 3 7 13 21 31 ?
Q52. Which number comes next?
2 5 11 23 47 ?
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