1. Joan spent Monday and Tuesday shopping. She spent a total of $115. She spent $47 more on Monday than she did on Tuesday. How much did she spend on Tuesday? a. $68 b. $162 c. $34 d. $81 e. $115 - We are simply looking for 2 numbers that when added together, we get 115. Also, one number is 47 more than the other. Let x represent the smaller number, then x + 47 would be the larger, so we have the equation: x + x + 47 = 115 Combine the x with the other x gives: 2x + 47 = 115 Subtract 47 from both sides. 2x = 68 Divide each side by 2 gives: x = 34 2. Mrs. Johnson needs 4 blue paper circles for each student in her class. She can cut 6 of these circles from each piece of blue paper she is using. If there are 32 students in her class, how many pieces of blue paper will she need? a. 32 b. 10 c. 22 d. 36 e. 21 - She needs a total of 32 x 4 or 128 circles. 6 can be cut from 1 paper, so divide 128 by 6 and you get 21 and a small remainder. Forget the remainder, you KNOW you will have to use 1 more paper for make up for that remainder. The answer will be 21 + 1 or 22. 21 may look attractive, but where would the little extra come from? 3. Bob is stapling packets for his students. He can staple one complete packet in about 3 minutes. About how long will it take him to staple enough packets for his class of 30 students? a. 1 hour 20 minutes b. 1 hour 30 minutes c. 2 hours 20 minutes d. 2 hours 9 minutes e. 3 hours - Multiply 3 x 30 = 90. It will take 90 minutes. But the answers are in hours, 60 minutes to an hour, so the answer must be 1 hour 30 minutes. 4. A certain square has an area of 36 square inches. What is the perimeter of this square? a. 6 b. 12 c. 18. d. 24 e. 30 - You should know that a square has all sides equal. Multiply 2 sides together to get the area. Since the sides will be the same number, we are looking for a number multiplied by itself to get 36. The only number that satisfies that is 6. ( 6 x 6 = 36). Each side is 6 inches, therefore the perimeter is 6 + 6 + 6 + 6 = 24 inches. 5. Carrson High School has a senior class of 540 students. If 4 out of every 9 of these students are planning to attend college, how many are not planning to attend college? a. 240 b. 270 c. 300 d. 370 e. 400 - 4 out of 9 is the fraction 4/9. Multiply 540 x 4, then divide your answer by 9. You get 240. This represents the number of students attending college. (Always reread the question to make sure you are answering what is asked for.) The number not attending college would be 540 - 240 = 300. The answer is c. You could have also recognized that you need to find 5/9 of 540, solved similarly as above. Alternative way to solve #5: 4/9 represents a little less than half. So, the number attending college is a little less than half. Half of 540 is 270. The number attending college will be slightly lower than this. Likewise, the number not attending college is a little higher than 270. The only logical answer would be 300. 5/9 represents the number not attending college. 5/9 is about 55% Finding 55% of 540 would be easy and very close to 300. *Remember: You do not need to get the exact answer. Just be close enough to logically choose the answer from the 5 choices. 6. The school library has 272 books in their natural science section. If 25% are books related to animals, how many books on animals are on hand? a. 27 b. 54 c. 68 d. 25 e. 136 - Multiply .25 x 272 to get 68. Alternative way of solving #6: You should know that 25% means 1/4. So, I am looking for a number that when multiplied by 4, I get 272. The only answer that works is 68 x 4 = 272. However, I knew it was going to end in an 8 because that is the only number I can multiply by 4 to get a 2 on the end. (272 ends in 2 and 4 x 8 = 32). 68 is the only number on the list that ends in 8. 68 MUST be the answer. 7. What number is 36% of 650 ? a. 234 b. 243 c. 221 d. 216 e. 220 - Multiply .36 x 650 to get 234. Alternative way of solving #7: 10% of 650 is 65. So, 30% = 65 + 65 + 65 or 195. 5 % of 650 = 32.5, so 35% = 195 + 32.5 or 227.5. (I could logically pick 234 because it is only slightly higher than 227.5) 1% of 650 = 6.5, so add 6.5 + 227.5 = 234. 8. Use the following information to answer number 8. John visits various parks near his house on a regular basis. He either bikes, jogs, or walks. * If the park is less than 2 miles from his home, J;ohn will walk. * If the park is between 2 miles and 9 miles, John will jog. * If the park is greater than 9 miles, John will bike. If you know that on a certain day John rode his bike to the park, which of the following could be true? a. The park is one mile from his house. b. The park is 5 miles from his home. c. If the park were 1 mile closer, John would have walked. d. The park is 11 miles from his home. e. The park is not more than 9 miles from his home. - If John rode his bike, the distance MUST be greater than 9 miles. Look for an answer that is more than 9 miles. The key words in the question are "could be true." All we need is one that fits, not necessarily the real distance he actually traveled. Answer d is the only one that fits him riding the bike. 9. A jacket that normally costs $27 is on sale for $21.60. What percentage of a discount was applied to the jacket? a. 10%