1. The sum of the two numbers is 55. Four times the smaller is 5 less than the larger. Find the numbers.
2. The sum of the digits of a two digit number is 10. If the digits are reversed, the new number is 18 less than the original number. Find the original problem.
3. Gustav’s father is seven times as old as he is. One year ago, he was nine times as old as Gustav. Find Gustav’s present age.
4. Guessing Age and Date of Birth
PROCEDURE: Tell your volunteer to do the following:
a. Multiply the number of the month of your birth by 100.
b. To this product, add the day of the month of your birth.
c. Multiply this sum by 2.
d. Add 8 to this product.
e. Multiply the sum by 5.
f. Add 4 to the product.
g. Multiply the sum by 10.
h. Add 4 to the product.
i. Add your age to this sum.
j. Tell me your final answer.
k. You are ____ years old and your birthday is on (month) and (day).
5. Is 13882 greater than or less than 19419? To know the answer, perform the operation:
*19419-13882= __?_
6. What book must you read to have peace of mind? You can find the answer my multiplying 2101 by 18.
7. The fire in the LS building reached 256°. There were 209 firefighters who showed up to battle the blaze. They were not successful because they forgot their _____________. For you to get the answer perform the indicated operation: *Find the product of 256 and 209.
8. Lightning Multiplication and Addition
PROCEDURE:
a. Have a volunteer select two four-digit numbers, say A and B. Your choice for the two four-digit numbers must be (10,000-A) and (B-1).
b. Have the volunteer multiply his or her pairs of numbers and then add the two products.
c. You are able to do the calculator’s faster than the volunteers, even if the volunteer uses calculator.
9. Think-of-a-Quadratic Expression
PROCEDURE: Tell your volunteer to do the following:
a. Think of a quadratic expression of the form (ax²+bx+c).
b. Find the values of the expression when x=0,1 and 2 in that order and tell me your results in that order.
c. Your expression is _____________.
10. Using Roman Numerals, show that 6 and 6 make 11.
11. How many tiles will be in the tenth form?
. . . ?
1 2 3 4 10
12. Find the ninth (9th) of the given figurative number using the dots as the pattern and complete the table and complete the figure below.
. . . . ?
1 4 9 16 . . . ?
1st 2nd 3rd 4th . . . 9th
| | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| NUMBER OF DOTS | 1 | 4 | 9 | 16 | ? | ? | ? | ? | ? |
13. Move one stick to make each of the equations correct. (NOTE: Equations are written in Roman Numerals.)
a. I – I = III
b. IV – I = V
c. IX – V = VI
d. X + IV = V
e. VI – IV = XI
f. VI – IV = IX
14. How many squares can you find?
15. Dissect an equilateral triangle into one rectangle and four congruent triangles.
16. How many different four-digit numbers could you make using each of the following digits?
9 6 8 1
17. Sanford has been thinking about palindromes. Numerical palindromes are numbers like 22 which, when the digits are reversed, still show the same number. He is trying to think of the last time that the numbers in a year made a palindrome. Can you help by finding that number and marking it on the number line?
15001600 1700 1800 1900 2000
18. The Sweethome Drug Store had a contest. They filled a jar with jawbreakers and whoever came closest to guessing the number of jawbreakers in the jar got a new radio. Candace tried to estimate the weight of the jar, and then made a guess of 650-jawbreakers, which were 120 off the actual count. Basil tried to count the jawbreakers around the bottom of the jar and estimate the number of layers. He finally guessed 500-which was only 30 off. How many jawbreakers were really in the jars?
19. If you add the last two digits of telephone numbers, will certain sums always appear more frequently than others in any phonebook? If so, what are they? What makes you think they will be more common? Can you test your answer without adding all the numbers in all the phonebooks? How?
20. Werner noticed that the sum of the page numbers of four special pages of drawings in his favorite book is 98. If the pages follow each other, on what page do the drawings begin?
21. Felix plays baseball. His team is one of the sixteen teams that will play in the city tournament. When any team loses one game, it will be out of the tournament. Assuming there are no tie games, how many games will be played before the winner can be announced?
22. Penny bought a can nails at the hardware store. The can held 30 nails, and the can and nails together weighed 263 ounces. On her way home Penny dropped the can and spilled 15 nails onto the ground. After she got home, she weighed the can (with 15 fewer nails) again, and again it weighed 143 ounces. What would the empty can weigh?
23. Look at the name of your favorite sport and the letters in its name. If A=1€, B=2€, C=3€… Z=26€, what is the value of the name of your favorite sport?
| A = 1€ | B = 2€ | C = 3€ | D = 4€ | E = 5€ | F = 6€ |
| G = 7€ | H = 8€ | I = 9€ | J = 10€ | K = 11€ | L = 12€ |
| M = 13€ | N = 14€ | O = 15€ | P = 16€ | Q = 17€ | R = 18€ |
| S = 19€ | T = 20€ | U = 21€ | V = 22€ | W = 23€ | X = 24€ |
| | | Y = 25€ | Z = 26€ | | |
EXAMPLE: HOCKEY = 67€ 8(H) + 15(O) + 3(C) + 11(K) + 5(E) + 25(Y)
| VALUE | |
| 01 - 10€ value | |
| 11 - 20€ value | |
| 21 - 30€ value | |
| 31 - 40€ value | |
| 41 - 50€ value | |
| 51 - 60€ value | |
| 61 - 70€ value | |
| 71 - 80€ value | |
| value > 80€ | |
24. Antonia and Evanna like to shoot marbles. They draw a circle and put a rock at the center, and then each shoots a marble from the outside of the circle to see who can come closest to the rock without hitting it. At the end of each round, the loser gives the winner a marble. Today Antonia has won five games and Evanna has five marbles more than she had when they started to play. Assuming there was a winner for each round, how many rounds did they play?
25. Reed is taking an advanced science class this semester.
The last test that he took had 100 problems on it. Letter
| A | 90 – 100 |
| B | 80 – 89 |
| C | 70 – 79 |
| D | 60 -69 |
| E | Below 60 |
grades were based on the ranges of correct answer shown to the right. Reed answered all the questions and had 26 more answers correct than incorrect. What was his letter grade?
26. Jennifer and Lamont didn’t make the baseball team this year, but they always go watch the teams their friends play for. Several of their friends’ teams are playing in a tournament this week. If there are 5 baseball teams in this tournament, and if each team plays each of the other teams twice, how many games will be played altogether before the tournament ends?
27. Jose saw some pigeons and cats in the parking lot this morning. He counted 35 heads and 100 legs on these animals. Did he count more pigeons or more cats in the parking lot?
28. Courtney attends a boarding school and eats dinner in the school’s cafeteria. If, for each dinner, she is allowed to
| 1st course | soup or salad |
| 2nd course | chicken, beef, fish or pork |
| 3rd course | ice cream, cake, or mousse |
choose only one item from each of the following courses, how many different meals can Courtney make?
29. Today, Ralph is three times as old as Concha. Six years from now, Ralph will be twice as old as Concha. How old is Ralph right now?
30. Miriam decided to take an automobile trip of 4,000 miles across the United States. She rotated her tires (the four that were on the car and the one spare) so that at the end of the trip each tire had been used for the same number of miles. How many miles had been driven on each tire?
31. Perry found a large daisy with many petals- 15 petals to be exact. Starting with petal number 1 and going in a clockwise order, he plucked every other petal until only one petal remained. If the first petal plucked was petals number 2, which petal number was the last one plucked?
32. Alfred has some definite likes and dislikes when it comes to numbers.
49 1 16 47 83 51
4 9 81 3 44 64
He likes these… He does not like these…
Which of the following numbers do you think he would like? Put an X in the column under each of your choices.
86 
25 72 40 64 100
33. Evan has been buying eggs from nearby chicken farm. When he was making breakfast yesterday, he found that one of the eggs was hard to break. The shell appeared to b thick to break easily! How thick do you think the average eggshell is?
NOTE: Key to correction is at the back. Thank you.
Prepared by:
bhabygenuiz_24
