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Sugary Diversion
problem

Sugary Diversion

11 to 14
Weekly Problem 48 - 2008
An ant is crawling in a straight line when he bumps into a one centimetre cube of sugar.If he climbs over it before before continuing on his intended route, how much does the detour add to the length of his journey?
Small tomato seedlings in pink pots.
problem

Pairing Up

11 to 14

The numbers 72, 8, 24, 10, 5, 45, 36, 15 are grouped in pairs so that each pair has the same product. Which number is paired with 10?

Small tomato seedlings in pink pots.
problem

Missing Digit

11 to 14

What digit must replace the star to make the number a multiple of 11?

Small tomato seedlings in pink pots.
problem

Threes and Fours

14 to 16

What is the smallest integer where every digit is a 3 or a 4 and it is divisible by both 3 and 4?

Small tomato seedlings in pink pots.
problem

Essential Supplies

14 to 16

Chocolate bars come in boxes of 5 or boxes of 12. How many boxes do you need to have exactly 2005 chocolate bars?

Small tomato seedlings in pink pots.
problem

Square LCM

14 to 16

Using the hcf and lcf of the numerators, can you deduce which of these fractions are square numbers?

Small pepper seedlings in orange pots.
problem

Building Up

11 to 14

In the diagram, the number in each box is obtained by adding the two immediately below. What is the number in the top box?

Small pepper seedlings in orange pots.
problem

Geometric Quadrilateral

11 to 14

Each interior angle in a quadrilateral (apart from the smallest) is twice the previous one. What is the size of the smallest interior angle?

Small pepper seedlings in orange pots.
problem

Night Watchmen

11 to 14

Grannie's watch gains 30 minutes every hour, whilst Grandpa's watch loses 30 minutes every hour. What is the correct time when their watches next agree?

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