Numerical reasoning

How to play Number Sequences on DailyQuest.ai

Number Sequences is a free browser practice drill on DailyQuest.ai. Read five numbers, work out the pattern and choose the sixth number from four options. A standard session contains five items, each starting with 25 seconds.

The patterns go beyond adding or multiplying by a fixed amount. You may need to compare changing gaps, separate alternating positions or combine multiplication with an adjustment. Faster correct answers earn more points, while wrong choices reduce the remaining time.

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What this drill practises

Practise mental arithmetic, comparing differences and ratios, spotting alternating rules and checking a proposed pattern against every displayed term. This is timed numerical-reasoning practice, not a validated assessment.

How to play

  1. Read all five numbers before selecting an answer. Look for a rule that explains the whole sequence, not just its final pair.
  2. Check the gaps between neighbouring terms. If they are not constant, look for steadily changing gaps or a repeating cycle.
  3. Try other structures where needed: a fixed multiplier, the sum of the previous two terms, or separate patterns in positions 1, 3, 5 and 2, 4, 6.
  4. Calculate the sixth term, then click or tap its answer button among the four choices.
  5. If you choose incorrectly, the item stays open and you can try again with less time. A correct answer awards points and moves you on after brief feedback.
  6. If time expires, the item earns no points and the drill advances. Complete five items in standard mode; endless mode uses the mistake limit described below.

Rules, timing and scoring

Worked examples

1. Gaps that grow steadily

3, 5, 9, 15, 23, ?

Answer: 33

Step by step: Subtract neighbouring terms: 5 βˆ’ 3 = 2, 9 βˆ’ 5 = 4, 15 βˆ’ 9 = 6 and 23 βˆ’ 15 = 8. The gaps grow by 2 each time, so the next gap is 10. Add it to the last term: 23 + 10 = 33.

2. Add the previous two terms

2, 5, 7, 12, 19, ?

Answer: 31

Step by step: Check whether each term after the first two is their sum: 2 + 5 = 7, 5 + 7 = 12 and 7 + 12 = 19. Continue using the latest pair: 12 + 19 = 31.

3. Two interleaved sequences

4, 20, 7, 16, 10, ?

Answer: 12

Step by step: Separate the positions. Positions 1, 3 and 5 contain 4, 7 and 10, increasing by 3. Positions 2 and 4 contain 20 and 16, decreasing by 4. The missing term is in position 6, so continue the second sequence: 16 βˆ’ 4 = 12.

4. Multiply, then alternate the adjustment

3, 8, 14, 30, 58, ?

Answer: 118

Step by step: Multiply by 2 each time, alternating +2 and βˆ’2 afterwards: 3 Γ— 2 + 2 = 8; 8 Γ— 2 βˆ’ 2 = 14; 14 Γ— 2 + 2 = 30; 30 Γ— 2 βˆ’ 2 = 58. The next adjustment is +2, so 58 Γ— 2 + 2 = 118.

Common mistakes

Repeating only the latest gap
Compare all four visible gaps first. The final gap may belong to a growing or repeating pattern rather than a constant step.
Treating every rise and fall as one alternating operation
Also inspect positions 1, 3, 5 separately from positions 2, 4, 6. The generator includes two interleaved progressions.
Using a rule that explains only part of the sequence
Run your proposed rule through every visible transition before calculating the answer.
Clicking through guesses
Every wrong click counts as a mistake and removes time. Recheck the arithmetic before trying another option.

Tips

Practice by level

Beginners

Start by finding a rule you can explain clearly. Work out the four gaps, check whether they repeat or change steadily, and use the answer choices only after calculating a next term. If you make a mistake, use the remaining time to check your rule rather than immediately guessing again.

Advanced

Practise switching methods efficiently. If neither differences nor ratios look useful, split odd and even positions or test a multiply-and-adjust rule. Distinguish repeating differences from steadily growing differences, and verify the final operation before selecting. The scoring rewards speed, but an incorrect choice costs both time and a mistake.

Questions about this drill

How do I enter an answer?
Click or tap one of the four number buttons. This drill does not define dedicated keyboard shortcuts for the answer choices.
Can I retry after a wrong answer?
Yes. A wrong choice leaves the same item open, adds one mistake and removes four seconds, with a minimum of one second remaining. You can choose again while the item is active.
Which patterns can appear?
The generator includes arithmetic, geometric, alternating, Fibonacci-like and interleaved sequences; growing and repeating differences; square progressions; multiplication with alternating adjustments; pronic offsets based on i Γ— (i + 1); and an arithmetic progression with an extra adjustment at alternating positions. Two generator labels use steadily increasing gaps.
Can the sequence decrease or include negative numbers?
Yes. Arithmetic sequences can use a negative step, and repeated subtraction can take their terms below zero. Other patterns can also move down between terms, so do not assume the answer must exceed the last number.

What your score does and doesn’t mean

Your score reflects answers and timer values in this particular practice drill. It is not a validated measure of general ability. A finite list of numbers can admit more than one mathematical continuation; the game accepts the sixth term produced by its generated rule, so look for the supported pattern that explains all five displayed terms.

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