Olympiad 1

Question 1

A certain brand of sardines is usually sold at 3 cans for $4. Suppose the price is changed to 4 cans for $5. Will the new cost for 12 cans be more or less than the usual cost for 12 cans, and by how much?

Answer 1

Less by $1.

Question 2

N is the number of buttons in a sewing box. N is more than 40 but less than 80. When N is divided by 5, the remainder is 3. When N is divided by 7, the remainder is 4. Find the value of N.

Answer 2

53

Question 3

Consecutive numbers are whole numbers that follow in order. Find the largest of the 5 consecutive numbers whose sum is 200.

Answer 3

42

Question 4

A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. Suppose 1 step of the dog covers 40 cm. How many centimetres would the cat cover in taking 12 steps?

Answer 4

480 cm

Question 5

In Nogatco, a primitive country, “OC” means a bundle of 8 sticks. “OCTA” means a bundle of 8 OCs. “OCTIL” means a bundle of 8 OCTAs, and “OCTILLA” means a bundle of 8 OCTILs. How many stick are in an OCTILLA?

Answer 5

4096