CogAT-style Practice Test 1 — Quantitative Battery (Grade 8, Level 14)
A free CogAT (Cognitive Abilities Test, USA) practice paper for Grade 8 in the format of the real test: 52 questions in 30 minutes, covering Part 1 — Number Analogies: in each question the same rule changes the first number of each pair into the second number; choose the number that completes the last pair (10 minutes in the real test); Part 2 — Number Puzzles: find the number that the question mark or shape stands for, so that each line is true (10 minutes in the real test); Part 3 — Number Series: work out the rule of the series and choose the number that should come next (10 minutes in the real test). The real test times each part separately: 10 minutes for Number Analogies, 10 minutes for Number Puzzles and 10 minutes for Number Series (30 minutes in all). No calculator. Choose the best answer from the five choices 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. [7 → 15] [12 → 20] [25 → ?]
Q2. [6 → 42] [9 → 63] [4 → ?]
Q3. [72 → 9] [48 → 6] [96 → ?]
Q4. [31 → 17] [50 → 36] [63 → ?]
Q5. [3 → 10] [5 → 16] [8 → ?]
Q6. [4 → 5] [10 → 8] [22 → ?]
Q7. [2.5 → 7.5] [4.2 → 12.6] [3.6 → ?]
Q8. [18 → 12] [27 → 18] [42 → ?]
Q9. [1/2 → 1] [3/4 → 1 1/4] [2 → ?]
Q10. [12 → 5] [20 → 7] [36 → ?]
Q11. [0.4 → 2] [1.2 → 6] [3.5 → ?]
Q12. [5 → 21] [9 → 37] [13 → ?]
Q13. [2/3 → 1/3] [1 1/2 → 3/4] [2 2/5 → ?]
Q14. [7 → 10] [15 → 26] [11 → ?]
Q15. [0.3 → 1.9] [1.1 → 4.3] [2.4 → ?]
Q16. [6 → 6] [10 → 12] [17 → ?]
Q17. [3/4 → 1] [2 1/4 → 2] [3 → ?]
Q18. [−3 → 5] [4 → −9] [−1 → ?]
Q19. ? = 43 − 18
Q20. ? + 17 = 52
Q21. ? ÷ 6 = 9
Q22. ? − 12 = 7 × 4
Q23. 3 × ? = 45 − 9
Q24. ■ − 9 = 14
● = ■ + 6
● = ?
Q25. ? + 2.7 = 8 − 1.6
Q26. ▲ × 4 = 36
■ = ▲ ÷ 3 + 5
■ = ?
Q27. ? × 0.5 = 3.5 + 4
Q28. 3/4 + ? = 2 1/2
Q29. (? + 4) ÷ 3 = 12 − 7
Q30. ■ + ■ + ■ = 4.5
● = ■ × ■
● = ?
Q31. 5 − ? = 2 × (−3)
Q32. 2/3 × ? = 18 − 6
Q33. ■ + ● = 14
■ − ● = 5
● = ?
Q34. ▲ + ▲ = ■
■ + ▲ = 27
● = ■ − ▲ ÷ 3
● = ?
Q35. 7, 11, 15, 19, 23, ?
Q36. 81, 72, 63, 54, 45, ?
Q37. 3, 6, 12, 24, 48, ?
Q38. 2.5, 3.2, 3.9, 4.6, 5.3, ?
Q39. 5, 8, 7, 10, 9, 12, ?
Q40. 1, 4, 9, 16, 25, ?
Q41. 2, 5, 11, 20, 32, ?
Q42. 1/4, 3/4, 1 1/4, 1 3/4, 2 1/4, ?
Q43. 0.2, 0.6, 1.8, 5.4, ?
Q44. 2, 20, 4, 17, 6, 14, 8, ?
Q45. 96, 48, 52, 26, 30, 15, ?
Q46. 3, 4, 7, 11, 18, 29, ?
Q47. 2, 3, 5, 9, 17, 33, ?
Q48. 1, 3, 7, 13, 21, 31, ?
Q49. 1, 2, 5, 14, 41, ?
Q50. 128, 64, 96, 48, 72, 36, ?
Q51. 0.5, 1.5, 4.5, 5.5, 16.5, 17.5, ?
Q52. 3, 4, 8, 11, 33, 37, ?
Want your child to practise with expert guidance?
A Mathkari teacher works one-to-one with your child, live online, and tells you exactly what to work on next. The first lesson is a demo class.