Numerical Sequence / Series Test

In a numerical sequence or series test it is necessary to identify a pattern that is occurring in the sequence.The numbers in the sequence may be progressing, or they may be decreasing. In some cases they may be both progressing and decreasing within the sequence, and in some cases two separate  sequences may be interwoven. It is up to you to determine which of these is occurring and to continue the sequence by providing  the missing number(s) indicated by the question mark(s) in each  question.

The use of a calculator is not permitted in this test.

A time limit of 20 minutes is allowed in which to complete the 15 questions.

1. 0, 1, 2, 3, 5, 7, 9, 12, 15, 18, ? 2. 3, 6, 12, 21, 33, ? 3. 1000, 975, 925, 850, 750, ? 4. 1, 10, 2.5, 7.5, 4, 5, ?, ? 5. 12, 8.5, 5, 1.5, ?

6. 8, 16, 64, 128, 512, 1024, ? 7. 12, 11, 9, 6, 2, ? 8. 1, 1.5, 3, 7.5, 21, ? 9. 2, 6, 9, 27, 30, 90, 93, ? 10. 5, 6, 7, 8, 10, 12, 14, 20, ?, ?

11. 100, 99, 96, 91, 84, 75, 64, ? 12. 19, 38, 57, 76, 95, 114, ? 13. 2, 5, 12, 27, 58, 121, ? 14. 10, 9.75, 9.25, 8.5, 7.5, 6.25, ? 15. 10, 11.75, 9.25, 11, 8.5, ?

Answers

1. 22 Add 1, 1, 1, 2, 2, 2, 3, 3, 3, 4. 2. 48 Add 3, 6, 9, 12, 15. 3. 625 Deduct 25, 50, 75, 100, 125. 4. 5.5, 2.5 There are two interwoven sequences: starting at 1 add 1.5; starting at 10 deduct 2.5. 5. –2 Deduct 3.5 at each stage. 6. 4096 ×2, ×4 repeated 7. –3 –1, –2, –3, –4, –5 8. 61.5 The amount added on is multiplied by 3 each time, ie 0.5,1.5, 4.5, 13.5, 40.5.

9. 279 ×3, +3 repeated. 10. 19, 36 There are two interwoven sequences: starting at 5 add 2, 3, 4, 5; starting at 6 add 2, 4, 8, 16. 11. 51 Deduct 1, 3, 5, 7, 9, 11, 13. 12. 133 Add 19 each time. 13. 248 ×2+1, ×2+2, ×2+3, ×2+4, ×2+5, ×2+6 14. 4.75 –0.25, –0.5, –0.75, –1, –1.25, –1.5 15. 10.25 +1.75, –2.5, +1.75, –2.5, +1.75

Assessment

Score 1 point for each correct answer.

Total score	Rating	Percentage of population
14–15	Genius level	Top 5%
13	High expert	Top 10%
11–12	Expert	Top 30%
10	High average	Top 40%
8–9	Middle average	Top 60%
7	Low average	Bottom 40%
5–6	Borderline low	Bottom 30%
3–4	Low	Bottom 10%
0–2	Very low	Bottom 5%