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?

Problem of the Week #10: November 19th, 2007
submit your solutions by Friday to tubbsjac@nbed.nb.ca

Grade 6: Hay Bales
A farmer has a large field with 12 hay bales in one corner of the field. In the second corner he has one third as many as are in the first corner. In the third corner he has twice as many as are in the second corner. In the fourth corner he has half as many as are in the first corner. If the farmer piles all the hay together in his barn, how many bales of hay would he finally have?

Grade 7: Basket Of Fruit
I have a basket of fruit that contains only bananas, apples and oranges. The basket contains 12 bananas, 6 red apples and 8 green apples. If the total number of pieces of fruit is three times the number of apples in the basket, how many oranges are in the basket?

Grade 8: Speeding By
Two cars are on a collision course -- heading straight at each other. One car is traveling at 50 kilometres per hour and the other at 70 kilometres per hour. How far apart will the two cars be one minute before they collide?

Grade 9: Steel Bridge -
One-sixth of a steel beam of a bridge is located in cement below the bed of a river. Two-fifths of the beam is in the water and 26 metres is located above the water. How long is the steel beam?

Grade 10: Co-ordinate Points

Two points are located on a plane. Point A ( -3, 5) and Point B ( 4, -2). If the two points are connected by a line segment AB, what will be the segment’s length rounded to one decimal place?

Have a good Remembrance Day Holiday
Problem of the Week: November 13th 2007
e-mail your solutions to tubbsjac@nbed.nb.ca by Friday, Nov. 16th

Grade 6: Dog Biscuits

A salesman packs dog biscuits in boxes containing 16, 17, 23, or 24 kilograms each. He will not sell them in any other sizes or split a box. A customer wants exactly 100 kilograms of the biscuits, no more or no less. How can the salesman fill the order?

Grade 7: Cookies
There are twice as many girls as boys in Mr. Smith’s 7th grade math class. Each of the girls gave him an oatmeal cookie and each of the boys gave him a chocolate cookie. Mr. Smith arranged the cookies in one row with a chocolate cookie farthest to the right. Which of the following must be true?

A. The cookie farthest to the left is chocolate.
B. The cookie farthest to the left is oatmeal.
C. There are at least two chocolate cookies next to each other.
D. There are at least two oatmeal cookies next to each other.
E. Mr. Smith received more chocolate cookies than oatmeal cookies.


Grade 8: Palindromes

The number 11 is a palindrome. A palindrome is an integer that reads the same backward and forward. The integer 12,321 is a palindrome since writing the numbers in reverse order is also 12,321. What is the greatest possible four-digit palindrome that is a multiple of 6?



Grade 9: Town Clock

Parker was listening to the new town clock chime on the hour. She started timing it as soon as she heard the clock strike the first chime and continued timing until it struck the fourth chime. It took the clock 6 seconds to strike four o'clock. How long would it have taken the same clock to strike twelve o'clock?
Hint: remember that a chime consists of a sound and a pause.

Grade 10:

Write the following product as a common fraction: (1/3)(6/10)(15/21)(28/36)(45/55).

e-mail your solutions to tubbsjac@nbed.nb.ca by Friday Nov. 9th

Problem of the Week for November 5th 2007

Grade 6 Follow the Numbers -
Determine the third missing number in the following pattern.
3, 7, 10, 17, 27, 44, 71, _____, _____,[ _____]

Grade 7 Halloween Is Freaky -
If the following pattern of letters is continued, which letter would be in the 1002nd place?
HALLOWEENISFREAKYHALLOWEENISFREAKY ………………..

Grade 8 Square Roots To Five -
The sum of the square roots of two positive integers is five while the difference between the numbers is also five. Find the sum of the squares of these two positive integers.

Grade 9 Forty-Eight -
Sets of distinct (different) positive integers are created such that the product of each set of integers is forty-eight. What is the least possible sum obtained from one of these sets of distinct positive integers?
Grade 10 B x DE = ABC -
A, B, and C are consecutive digits. D and E are also consecutive digits. A, B, C, D, and E are all different digits. If B x DE = ABC, find the sum of A + B + C + D + E. (Note: C and D are not necessarily consecutive digits.