Problems on Intervals- Mathematics Olympiad

Q.1) 5 matchsticks are placed at an equal distance away from each other. How many intervals are there?

Q,2) The road in front of my school is planted with 6 trees. The trees are away from each other. How far is the sixth tree away from the first one?

Q.3)18 trees are planted at the same distance away from each other along a stretch of road. How many intervals are there?

Q.4)There are 8 lamp posts along a stretch of road. In between every 2 lamp posts, there are 2 trees. How many trees are there along that stretch of road?

Q.5)There are 4 trees along the road in front of Edward's house. The trees are  away from each other. How far is the fourth tree from the first one?

Q.6)There are 5 lamp posts along the street in front of Melissa's house. The lamp posts are  apart from each other. How far is the fourth lamp post from the first one?

Q.7)John  ties 5 knots on a piece of rope. The knots are  apart from one another. How far is the fifth knot from the first one? . How far is the sixth tree from the second one?

Q.8)Som  lines 9 coins up on a table. Each coin is  apart from the other. How far is the ninth coin from the first one?

Q.9) It takes Pawan  5 minutes to saw a plank of wood into two pieces. How many minutes will Peter take to saw a plank of the same length into four pieces?

Q.10) A grandfather clock takes 6 seconds to chime 4 times at 4 o'clock. How many seconds will the grandfather clock take to chime 6 times at 6 o'clock?

Q.11)Ali stays on the  floor of an apartment. The staircase leading to every floor has 10 steps. How many steps does Ali  have to climb before she reaches home?

Q.12)A subway train takes 2 minutes to reach the next station. It stays at a station for 1 minute before moving to the next station. How many minutes does the subway train take to travel from the first to the fifth station?

Q.13) A train has 6 compartments. Each compartment is  long. The compartments are joined by connectors of length . How long is the train?

Q.14) Buses  leave a station every 10 minutes. How many buses will leave the station in 60 minutes?

Q.15) How many times do you need to cut a ribbon that is  long into 8 equal pieces? How long is each piece of ribbon?

Q.16) Varun uses some coins to form a triangle. Each of the 3 corners of the triangle has a coin. There are 5 coins on each side of the triangle. How many coins does Vanessa use to form the triangle?