Sunday, January 29, 2012

Quiz Name___________________ No Calculators

1. The baseball team has won 3/4 of its first 12 games. How many must the team win in its next 16 games to maintain the same average?________

You will need to calculate 3/4 of the next 16 games....and then... the original average of 3/4 will not change!

2. Draw a Venn diagram. There are 55 students in the 7th grade. In a survey, 32 of them said that they like ping pong and 21 of them like judo. In addition, one quarter of those who like ping pong also like judo.

Draw a Venn diagram with two overlapping circles. Then show how many like only ping pong and how may like only judo and how many like both. Label your diagram and put the number of students in each of the part of the two overlapping circles. Put a number outside the circles to show how many do not like either one.
_____like only ping pong
_____like both (overlap area)
_____like only judo
_____like neither one

3. Two subtraction problems:
a. What is 11/15 - 1/5?

b. What is 23/15 - 1/5?

State your answer in b as a mixed number in simplest form. In both problems you will need to restate 1/5 as its equivalent fraction in 15ths.

4. Find the LCD for 1/6 and 1/8.

Hint: Remember that the LCM is quite similar to the LCD. So, look at the multiples of 6 and 8 and find the lowest multiple in common. Mult. of 6: 6, 12,18, 24, 30...

5. How many prime numbers are multiples of 5?____of 2?____
Hint: If a number is a multiple of 5, that means 5 is one of its factors.

6. Find the LCD for 1/8 and 1/12.

7. Find the LCD for 1/3 and 1/4.

8. Use the distributive property in the following:
a. 2 (5 - x) =
b. 2 (3 + x) =
c. 3 (5 + x) =

9. Multiplying with decimals or with multiples of tens: a good mental math exercise
a. 20 x 20 =
20 x 2 =
20 x 0.2 =
b. 25 x 40 =
25 x 4 =
25 x 0.4 =

10. Give the equivalent mixed number for each improper fraction:
5/3 = 5/4 = 8/5 = 15/4 =

The mixed number equal to 15/2 is 7 1/2.

11. Which of these numbers could be the area of a rectangle, if the length of each side is a whole number > 1?
a. 3 b. 5 c. 17 d. 25

12. Range is the difference between the highest and lowest number is a data set.
Example: Seven students got the following scores on a quiz:
3, 5, 5, 7, 8, 17, 18 (the data set)
The range is 15. You find the range by subtracting the lowest score from the highest. So, 18 - 3 = 15.

Mode: most repeated number in a data set (In this example, it is the number 5)
Median: the number that occurs in the middle of a data set when the data is arranged from least to greatest. In this example, it is 7.
Mean: the average. To find it here, you add up all the scores and then divide by the number of scores. (3 + 5 + 5 + 7 + 8 + 17 + 18) : 7 = 63 : 7 = 9
So, the average or mean score is 9.

Find the range, mode, median, and mean for this data set for 7 students' scores:
6, 6, 6, 8, 14, 18, 19
Range is:
Mode is:
Median is:
Mean is:

13. What is an equation that represents the statement: "Four times a number N is equal to twenty"?

14. Draw a trapezoid with two bases (8 in. and 5 in.) and a height of 3 in.

BONUS: What is the next number in the pattern:
1, 2, 6, 15, 31, 56,____

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