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2024 Daily Puzzles - Key Stage 3 Solutions

Monday: A + B + B + C + A + C = 11 + 19 + 16. Rearrange and 2A + 2B + 2C = 46. So A + B + C = 23 but if B + C = 19 then A must be 4. Now substitute into A + C = 16 and C = 12. Tuesday: P is 3 and Q is 4 therefore P x Q = 12 Wednesday: 144 cm. Let its body be y, its tail will then be 18cm + 1/2 y. But y = 18cm + 18cm + 1/2y. So 1/2y = 36cm. Double both sides: y = 72cm. Now add all together: body 72cm + head 18cm + tail 54cm = 144cm Thursday: Guess and check. The correct number must have been in the 50s. 5 cannot be taken away from Bella's 55 or added to Ann's 50, as this would have given one of the incorrect answers, so it must come off Cindy's 58, giving 53. Friday: 30 minutes