1. Measurement of a Field
The perimeter of a field measures 102 meters. The field is twice as long as it is wide. How
long is the field? How wide is the field?
2. The Chocolates Problem
100 chocolates were distributed among three groups of children. The second group received
4 times the number of chocolates of the first group. The third group received 10 chocolates
more than the second group. How many chocolates did the first, second, and third group
receive?
3. Age Fun
Mary's brother is 5 years older than she is. The sum of their ages is 33. How old are Mary
and her brother?
4. Isosceles Triangle
In an isosceles triangle the unequal side measures half the length of one of the two equal
sides. Calculate the perimeter if the length of the unequal side is 5 cm. Calculate the length
of the sides when the perimeter is 80 cm.
5. Frank's Cards
Frank has 63 baseball and hockey cards. Three times the number of baseball cards minus
four times the number of hockey cards is 126. How many of each kind of card does he own?
6. George's Savings
George is saving his nickels, dimes and quarters in a piggybank. So far, he has 56 coins. He
has half as many dimes as nickels and he has 8 more quarters than dimes. How much money
does he have?
7. Number Crunch
Find four consecutive integers such that if the first is increased by 2, the second decreased by
2, the third multiplied by 2, and the fourth divided by 2, the sum of the four resulting
numbers is 200.
8. More Perimeter Practice
The perimeter of a rectangular garden is 124 m. The length is 14 m more than twice the
width. What are the garden's dimensions?
9. Sisters
Fran is 8 years older than Maria. Four years ago Fran was five times as old as Maria. How
old are the girls?
10. Paul's Problem
Paul has $3.00 made up of nickels, dimes and quarters. There are 27 coins in all. If he has
the same number of nickels and quarters, how many of each coin does he have?
11. Plane Puzzle
A plane leaves Pembroke for Halifax, a distance of 1400 km, at a speed of 600 km/h. At the
same time another plane leaves Halifax for Pembroke at a speed of 520 km/h. How long
after takeoff will the planes pass each other?
12. Odd Question
The sum of 4 consecutive odd numbers is 184. Find the numbers.
13. Drain Dilemma
There are three drains in a 6-metre-deep reservoir of water. To lower the water level by 2
meters it takes drain A 2 hours, drain B 3 hours, and drain C 4 hours. If all three drains are
opened at once, how long will it take to empty the reservoir?
14. Quadratic Query
Two integers differ by 5. Find the integers if the sum of their squares is 193.
15. Distance
If a car increases its speed by 10 km/h, it can travel 315 km in two hours less time. What is
the original speed of the car?
16. Profitable Eggs
A dealer bought a certain number of chocolate eggs for $18.00. After eating 5 of them, he
sold the others at 20 cents apiece more than he paid for them. If his profit was 40 cents,
how many chocolate eggs did he buy?