Worksheet 1: MATH REVIEW: ORDER OF OPERATIONS
Name: ______________________________ Date: __________
RIDDLE: Why did the bored man cut a hole in the carpet?
Directions: To find the answer to the riddle, write the answers to the problems on the lines. The letter in the solution section beside the answer to the first problem is the first letter in the answer to the riddle, the letter beside the answer to the second problem is the second letter, and so on.
- 5 × 10 + 6 × 2 = _____
- 3 + 4 × 9 = _____
- (9 + 28) × 6 = _____
- 159 - 66 × 2 = _____
- 15 × 14 - 8 × 20 = _____
- 19 - 5 + 2 × 3 = _____
- 70 - 5 × 3 × 4 = _____
- 6 + 8 × 1 × 5 = _____
- 33/1 + 1 × 3 = _____
- 8/4 + (6)(0) = _____
- 169/(12 + 1) = _____
- (2 + 3+ 4)/3 = _____
- (2 + 18)/(9 - 5) = _____
- (1 + 5)(3) + (7)(2) = _____
- (9 + 9)(10 - 1)(2) = _____
- (15 - 4)(21/7)(63 - 59) = _____
- (3)(1)(1) + (6/2)(9) = _____
Solution Section:
112 (B) 62 (T) 39 (O) 10 (H) 780 (Y) 222 (S) 3 (O)
2 (L) 63 (A) 27 (E) 177 (Z) 186 (X) 13 (O) 5 (R)
32 (S) 50 (E) 4,040 (D) 20 (T) 46 (E) 30 (W) 70 (F)
132 (O) 102 (K) 36 (F) 324 (H) 187 (B) 1 (J) 48 (1)
Write the answer to the riddle here, putting one letter on each line:
_____ _____ _____ _____ _____ _____ _____ _____
_____ _____ _____ _____ _____ _____ _____ _____ _____
Notes:
Dr. P.'s friendly advice: CALCULATOR TIPS.
- Don't become overconfident because you are using a calculator. Many students who use calculators make as many mistakes as those who calculate using only pencil and paper.
- Using a calculator doesn't relieve you of the responsibility to do all problems twice, which is the best way to check your work.
- Be sure to read the directions for your calculator thoroughly and carefully. You need to understand the functions of all keys. At the very least, perform all the sample problems in the calculator's manual.
If you haven't read the directions for your calculator yet, read them now and write two new things you learned about it. (For very simple calculators, you may only learn how to change the battery—but you need even that information.)
- ________________________________________________________________________________________________________
- ________________________________________________________________________________________________________
Worksheet 2: MATH REVIEW: NEGATIVES
Name: ______________________________ Date: __________
RIDDLE: What did the owner of the wreck of a car say about the noise it makes?
Directions: To find the answer to the riddle, write the answers to the problems on the lines. The word in the solution section beside the answer to the first problem is the first word in the answer to the riddle, the word beside the answer to the second problem is the second word, and so on.
- (-10)(-2) = _____
- (-5)(47) = _____
- (6)(-16) = _____
- 15/-3 = _____
- -144/12 = _____
- —169/-13 = _____
- 19 + -3 = _____
- -28 + -28 = _____
- -88 + 18 = _____
- 15- -15 = _____
- -29 - 14 = _____
- -30 - -29 = _____
- (-15)(-33) = _____
- (-11)(44) = _____
- -2178/33 = _____
- 188 + -99 = _____
- -279 + -188 = _____
- -399 - 59 = _____
Solution Section:
-20 (GARAGE) 235 (TWO) 340 (SKY) 20 (THERE'S) -96 (ONE)
-235 (ONLY) 96 (ROAD) -56 (THAT) -70 (DOESN'T) -1 (SORT)
-458 (HORN) -467 (THE) 5 (IS) -12 (ON) -5 (THING) 13 (MY)
-13 (USE) 16 (CAR) 12 (BE) 30 (MAKE) 0 (FIX) 22 (BUS)
495 (OF) -484 (NOISE) 56 (AN) -66 (AND) 70 (TRANSPORTATION)
89 (THAT'S) -43 (SOME) -15 (ALWAYS) -59 (HIGHWAY)
-495 (MECHANIC) 66 (BROKEN) 484 (STRANDED) 467 (FREEWAY)
Write the answer to the riddle here, putting one word on each line:
__________ __________ __________ __________ __________
__________ __________ __________ __________ __________
__________ __________ __________ __________ __________
__________ __________ __________
Notes:
Dr. P.'s friendly advice: MAKE MENTAL ESTIMATES OF THE ANSWERS TO CALCULATIONS.
Successful students in statistics usually make mental estimates of answers even if they are using a calculator or computer. Then, if the answer given by the calculator or computer is not close to the estimate, they know a mistake has occurred.
Suppose you need to multiply the two numbers shown above. One way to estimate the answer is to round each to the nearest whole number and multiply mentally. What is your estimate? ________ The answer you get on your calculator should be close to this.
Another way to estimate is to round both numbers up. By doing so and then multiplying, what estimate do you get? ________ Because both were rounded up, you know that the answer on your calculator should be somewhat LESS than your estimate.
At first, making mental estimates may slow you down a bit, but in: the long run you'll save time and make fewer errors.
Worksheet 3: MATH REVIEW: ROUNDING
Name: ______________________________ Date: __________
RIDDLE: What did the psychologist put on a sign in her office to make her patients pay?
Directions: To find the answer to the riddle, write the answers to the problems on the lines. The word in the solution section beside the answer to the first problem is the first word in the answer to the riddle, the word beside the answer to the second problem is the second word, and so on. Round as usual except when rounding off a number ending in a five (5). If the number immediately preceding a five is odd, round up. If the number immediately preceding a five is even, round down. Another way to state this principle is: "Round to the nearest even number all numbers ending in 5." For example, 4.85 rounds to 4.8; 4.75 rounds to 4.8. Notice, however, that 4.851, which ends in a value greater than "5," rounds to 4.9.
- Round 10.543 to the nearest hundredth: __________
- Round 8.67 to the nearest tenth: __________
- Round 8.4 to the nearest whole number: __________
- Round 9.8452 to the nearest thousandth: __________
- Round 15.839 to the nearest tenth: __________
- Round 29.5 to the nearest whole number: __________
- Round 15.86 to the nearest tenth: __________
- Round 3.945 to the nearest hundredth: __________
- Round 8.45 to the nearest tenth: __________
- Round 10.555555 to the nearest hundredth: __________
Solution Section: