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.
Play nowWhat 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
- Read all five numbers before selecting an answer. Look for a rule that explains the whole sequence, not just its final pair.
- Check the gaps between neighbouring terms. If they are not constant, look for steadily changing gaps or a repeating cycle.
- 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.
- Calculate the sixth term, then click or tap its answer button among the four choices.
- 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.
- 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
- Each new item starts with 25 seconds.
- For a correct answer, points = max(80, round(300 β 9 Γ (25 β remaining seconds))). The calculation uses the timer value when you answer.
- For example, answering with 20 seconds remaining earns 255 points: 300 β 9 Γ 5. Time removed by wrong choices also affects this calculation.
- Each wrong choice adds one mistake and removes four seconds, but cannot reduce the timer below one second. It does not directly subtract points already earned.
- A timeout adds one mistake and awards zero points for that item.
- Standard mode ends after five items. Endless mode has no fixed item count: it checks whether you have accumulated at least three mistakes when the current item finishes, then ends if you have. Wrong choices and timeouts both count towards that limit.
- There is no separate streak bonus. Your total is the sum of points awarded for correct answers.
Worked examples
1. Gaps that grow steadily
3, 5, 9, 15, 23, ?
Answer: 33
Step by step: Subtract neighbouring terms: 5 β 3 = 2, 9 β 5 = 4, 15 β 9 = 6 and 23 β 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 β 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 β2 afterwards: 3 Γ 2 + 2 = 8; 8 Γ 2 β 2 = 14; 14 Γ 2 + 2 = 30; 30 Γ 2 β 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
- Use a quick checking order: constant gaps, constant ratios, changing or repeating gaps, then alternating positions or combined operations.
- For an alternating rule, track which operation comes next. Finding the two operations is not enough if you apply them in the wrong order.
- When gaps increase regularly, extend the gap pattern first and then add the new gap to the last number.
- Calculate your answer before looking for the matching button. Some incorrect options differ from the correct answer by just one or two.
- Read each item afresh. The generator tries to avoid previously used sequences and pattern labels, but it does not guarantee that every item uses a new kind.
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 doesnβt 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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