Easy
Easy 2.0
Medium
Medium 2.0
9th grade level
100

To get to her parents' house, Janet would have to drive due north 12 kilometers. To get to her grandparents' house, she would have to drive due east 5 kilometers. What is the straight-line distance between the parents' and grandparents' houses?

what is 13 kilometers

100

On the school playground, the slide is 6 meters due west of the tire swing and 8 meters due south of the monkey bars. What is the distance between the tire swing and the monkey bars?

what is 10 meters

100

To wash a window that is 12 feet off the ground, Tara leans a 15-foot ladder against the side of the building. To reach the window, how far away from the building should Tara place the base of the ladder?

what is 9 feet

100

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters tall and the ramp is 158 centimeters long.

what is the horizontal distance from the end of the ramp to the back of the truck?
Round your answer to the nearest tenth of a centimeter.


what is 134.4 centimeters

100

To repair a roof that is 3 metres high, Mr. Greer leans a 5-metre ladder against the side of the building. To reach the roof, how far away from the building should he place the base of the ladder? 



what is 4

200

Three ballet dancers are positioned on stage. If Jaden is 16 feet straight behind Lorenzo and 12 feet directly left of Emmy, how far is Lorenzo from Emmy?

what is 20 feet

200

A windowpane is 12 inches tall and the diagonal distance from one corner to the other is 13 inches. How wide is the windowpane?

what is 5 inches


200

Springfield Street and Kensington Avenue intersect. If the diagonal distance across the intersection is 17 meters and Springfield Street is 8 meters wide, how wide is Kensington Avenue?

what is 15 meters

200

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centimeters. He will make the "X" by stretching red ribbon diagonally from corner to corner. How many centimeters of ribbon will Peter need to make the "X"?
Round your answer to the nearest centimeter.



what is 34

200

Lee is playing hide-and-seek with Darnel and Kinsley. Darnel is hiding 8 metres south of Lee, and Kinsley is hiding due east of Darnel. If Lee is 17 metres from Kinsley, how far apart are Darnel and Kinsley? 

what is 15

300

The floor of a rectangular living room is 3 meters by 4 meters. What is the distance between opposite corners of the living room?

 what is 5 meters

300

A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across.What is that distance? Round if necessary 

what is 164 meters

300

Sanjay is admiring a statue in Weston Park from 16 meters away. If the distance between the top of the statue to Sanjay's head is 20 meters, how much taller is the statue than Sanjay?

what is 12 meters

300

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner.

How many meters of fencing will Steve need?



what is 51

300

Jasper is in a hot air balloon that has just taken off and is floating above its launching point. Porter is standing on the ground, 6 metres away from the launching point. If Jasper and Porter are 10 metres apart, how high up is Jasper? 



what is 8

400


what is c=10

400

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

what is 5 √13 cm



400

An oak tree is 4 meters tall and a bird is standing on the ground 3 meters from the tree. If the bird flies directly to the top of the tree, how far will it fly?  

what is 5 meters

400

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.

How far did the player run?
Round your answer to the nearest meter.

what is 119

400

A gopher has dug holes in opposite corners of a rectangular yard. One length of the yard is 12 metres and the distance between the gopher's holes is 20 metres. How wide is the yard? 



what is 16

500

The length of Edwin's rectangular living room is 5 meters and the distance between opposite corners is 13 meters. What is the width of Edwin's living room?

what is 12 meters

500

Maureen takes a piece of plywood that is 16 inches long and uses a table saw to make a 20-inch cut from corner to opposite corner. What was the width of the piece of plywood?


what is 12 inches

500

John drove his car due east for 8 miles. He turned south and drove 15 miles. How far was he from where he started?

 what is c=17 miles

500

Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.

What is the diagonal distance across the plaza?
Round your answer to the nearest tenth of a meter.


what is 70.7

500

Three ballet dancers are positioned on stage. Turner is straight behind Luna and directly left of Roxanne. If Luna and Turner are 9 metres apart, and Roxanne and Luna are 15 metres apart, what is the distance between Turner and Roxanne? 



what is 12