Review
At the end of one school day a teacher had 17 crayons left. The teacher remembered giving out 14 of all her crayons in the morning, getting 12 crayons back at recess, and giving out 11 crayons after lunch. How many crayons did the teacher have at the start of the day?
30 Crayons
A North American fellowship conference is attended by 96 students from the United States, 72 from Canada and 48 from Mexico. What is the greatest number of discussion groups that can be formed so that the students from each country are distributed equally among all the groups? How many students from each country will be in each group?
24 groups: 4 from the United States, 3 from Canada, 2 from Mexico
(12+24)÷(3×2)+5×2−4
12
5x−7=3(x+5)
x=11
Kristen has had her cat since it was a kitten. She said, "If you multiply my cat's age by 4, and then divide it by 12, you get 5. How old is my cat?"
15 years
The number 34_3 is divisible by 3. What could the missing digit (_) be?
2, 5, 8
Suppose that the houses on Main Street are numbered 1 to 150. How many houses contain the number 2 or 4?
62 houses
(5+2)×(32−8)÷2+6
2(3x+4)−x=5x+10
x=2
In this repeating pattern, what will be the 78th letter written? ABBCCD ABBCCD... (and so on)
D
A rectangle has sides of whole-number lengths. Is it possible for the area to be an odd number but the perimeter to be an even number? Explain why or why not.
Yes, the perimeter is always 2(l + w) so it is even while the area is l x w so it would be odd if l and w are both odd.
Five oranges and a banana cost 87 cents. An orange and 5 bananas cost 99 cents. What is the total cost of four oranges and four bananas in dollars?
$1.24
Which is bigger? (6+4)×3−5 or 5×(3^2+2)−4?
5×(3^2+2)−4
4(x+6)−3x=2(2x+9)
x=6
Fred read nine consecutive pages from a certain book. The sum of the page numbers he read is 378. What is the page number of the middle page he read?
42
It takes nine days for eight workers to pave a stretch of road. If each worker works at the same rate as each of the others, how long will it take twelve workers to pave the same stretch of road?
6 days
Two trains leave from the same station at 10:00 AM and move in the same direction along parallel tracks. One train averages 72 km/h and the other averages 108 km/h. How far apart will the trains be at 1:15 PM of the same day?
117 km
Which is bigger? 8×(5+3)÷4+7 or (7+2)^2÷3−5?
8×(5+3)÷4+7
A number is doubled and then 7 is added. The result is 31. What is the number?
12
Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm. Ryan correctly adds the lengths of three sides of the same rectangle and 80 cm. What is the perimeter of the rectangle in cm?
112
If a certain number is divided by 2, 3, 4, or 5, the remainder is 1 in each case. What is the least number greater than 1 that satisfies these conditions?
61
What is the sum of this series of numbers: 1 + 3 + 5 + … + 995 + 997 + 999?
Which is bigger? (10+6)÷2×3−4 or 5×(4+3)^2÷7−1?
5×(4+3)^2÷7−1
The sum of three consecutive integers is 72. What are the integers?
23, 24, 25
Lou eats 1 jelly bean on September 1st, 3 on September 2nd, 5 on September 3rd, and so on, through the 30 days of the month. Each day he eats 2 more than the day before. In all, how many jelly beans does Lou eat in September?
900 jelly beans