NOETIC+problems

GRADE 2 (2009) 1. Boys and girls stood in a line. Paige was 4th from the one end, and 8th from the other end. How many children were standing in the line?

11. Four baskeball teams are playing in a tournament. The team who wins the most number of games wins the tournament. The game results are shown in the table below. Which team won the tournament?

Game #1 Blue vs. Red 61:27 Game #2 Blue vs. Yellow 49:45 Game #3 Green vs. Blue 38:32 Game #4 Red vs. Yellow 42:36 Game #5 Green vs. Red 50:48 Game #6 Yellow vs. Green 44:52

14. How many rectangles are in a shape formed with two sets of equal lines opposite two other sets of equal lines, each set perpendicualr to the other set, with each line bisected by another line forming a cross in the center or the shape? (I couldn't draw this, so let me know if it makes sense!)

GRADE 3 (October, 2009) 4. How much larger is 162 when it is rounded to the nearest hundred than when it is rounded to the nearest 10?

5. How many 3-digit numbers can you make using digits 0, 2, and 9 if you can use each digit exactly once in each number?

11. Jeff left home in March of 1999 to tour the world. He returned exactly 40 months later. Which month of the year did he return home?

17. The year 2000 had only even digits. What was the first year before 2000 that had only even digits?

GRADE 4 (April, 2009)

3. When a number is divided by 7, the quotient is 28 and the remainder is 6. What is the number?

6. A rectangle is formed by four squares lined up in a straight line. The perimeter is 50 inches. What is the area of the rectangle?

9. In a drawer with 8 green socks, 10 blue socks, 6 white socks, and 12 black socks, how many socks must be selected at random in order to guarantee one matching pair of socks?

15. Robin's age is 3 times Marcia's age. Anna is twice as old as Marcia. The sum of their ages is 30. How old is Marcia?

20. Three foreign languages are offered in Lincoln Elementary School: Spanish, French, and Chinese. In Ms. Moore's class, every student takes one and only one foreign language class. There are 14 student taking either Spanish or French; there are 18 students taking either Spanish or Chinese; there are 16 students taking either French or Chinese. How many students in Ms. Moore's class are taking Chinese?

GRADE 5 (April, 2009)

3. Jess's average after the first 3 math tests was 86. If he scored 90 and 92 in the last two math tests, what was his average score of all 5 tests?

5. Denise drove 200 miles in 5 hours of actual driving time. By driving an average 10 miles per hour faster. Denise could have saved how many hours of actual driving time?

9. At the beginning of last year, Chelsea's company needed to reduce its expenses. They cut her salary 10%. She was making $48,000 a year before the cut. At the end of last year, her company gave her a 10% raise. What's Chelsea's annual salary after the raise?



11. What is the maximum number of pieces of pizza possible when it is cut with 5 straight line cuts (the lines are not necessarily through the center of the pizza)?

20. If the same letters represent the same digit and different letters represent different digits, solve for A:

BA AB __+ AB__ CAA