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What belongs in each mystery box?

Every mystery box holds the same value. Make the two sides balance.

3 × ? + 428Equal values make a level balance.

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ReasoningAges 10-12Logical deduction
Question 1 of 4
Symbol equation puzzles

If ★ represents the same whole number each time and 3 × ★ + 16 = 61, what number does ★ stand for?

Deduce the value of a repeated mystery symbol in a two-step arithmetic equation.

3 · 16 · 61 · Symbol equation puzzles
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Reasoning category

Featured, challenges & worksheets in Reasoning

Patterns & sequencesFeatured

Number patterns

Find the addition rule in a number sequence and use it to complete the next term.

Worksheet
Logical deductionFeatured

Balance scale puzzles

Use equal-weight reasoning to work out the mass of a single mystery box on a balanced scale.

Worksheet
Logical deductionFeatured

Set overlap & Venn totals

Use inclusion-exclusion reasoning to find the total number of members across two overlapping sets.

Worksheet