Grade 6: Bristol Board

Bristol Board comes in rectangular sheets that measure 40 cm wide by 100 cm long. You need to cut the Bristol Board into smaller rectangular pieces that measure 20 cm by 30 cm. How many small pieces can be cut from 4 large sheets of Bristol Board?

Grade 7: Heads and Feet

A truck loaded with chickens and pigs was crossing the border at Calais, Maine. Two Customs Inspectors entered the truck and counted the animals. The first Officer went to his Supervisor and reported that he had counted 44 heads but forgot to distinguish between chickens and pigs. The second Officer reported that he had counted 130 feet but he also didn’t distinguish between chickens and pigs. The Supervisor thought for a few seconds, and then said “I’m smarter than a Canadian 7th Grader.” He then filled in the correct number of chickens and pigs. How many chickens and how many pigs were on the truck?

Grade 8: Feeding the Livestock

A farmer has 2 horses, 8 cows and 6 goats. He feeds the animals large round bales of hay.
A horse eats one bale of hay every two weeks, a cow eats one bale of hay every three weeks, and a goat eats one bale of hay every four weeks. How many bales of hay does a farmer need to feed his animals for 24 weeks?

Grade 9: Cubic Design

64 small cubes are arranged to form one large cube. The outside of the large cube is spray painted so that all the exterior surfaces are painted. The cube is then disassembled.
You examine the small cubes and carefully record how many surfaces are Not painted.
How many surfaces do not have any paint on them?

Grade 10: Impact Speed

A car traveling at a constant speed of 70 km/h passes an angry boy who is hitching. Frustrated at not getting a ride, the boy throws a baseball at the car at the instant that it passes his location. The ball instantly acquires a speed of 25 metres per second. What is the relative speed (in km/h) of the impact when the ball strikes the car?