CCBOSS

1. 2187, 729, 243, 81, 27, 9, ____? 1. 6 2. 3 3. 4 4. 2

1. (2) next number in the sequence is 3. Notice that the numbers in the pattern were divided by 3 to get the next number. Therefore, you divide 2187 by 3 you'll get 729, then the next and so on.

10. (-560) ÷ 7 = ___? 1. -80 2. 80 3. -553 4. 553

10. (1) -80 - dividing numbers with different signs = negative

11. 6/8 + 2 ½ + 4/12 is also the same as? 1. ½ + 2.5 + ¼ 2. ½ + 5/2 + 1/6 3. ¾ + 2.5 + 1/6 4. ¾ + 5/2 + 1/3

11. (4) ¾ + 5/2 + 1/3 - simplify the fractions given and convert the mixed number into improper fraction

12. What is the Least Common Denominator of 1/8, ¾, and 1/16? 1. 4 2. 8 3. 16 4. 2

12. (3) LCD is 16 - the denominators are: 8, 4 and 16

13. What is the Greatest Common Factor of 36 and 54? 1. 6 2. 12 3. 18 4. 9

13. (3) GCF is 18 since 36 and 64 are divisible by 18, 9, 6, 3

14. What is the sum of ½ + 8/4 + 6/12 ? 1. 15/12 2. 3/12 3. 3 4. 3 1/12

14. (3) the answer is 3 because ½ + 2 + ½ = 3

15. 3/9 x 2/3 = ____ 1. 6/27 2. 2/9 3. 9/18 4. 1/9

15. (2) the answer is 6/27 simplified into 2/9

16. ¾ ÷ 1/8 = ____ 1. 8 2. 4 3. 12 4. 6

16. (4) you will get 6 if you cross multiply the fractions

17. What is the decimal form of ¾ %? 1. .0075 2. .075 3. .75 4. .00075

17. (1) .0075 because ¾ is 75 percent or 75/100

18. Convert 3.4% as a fraction. 1. 34/100 2. .34/100 3. 3.4/1000 4. 3.4/100

18. (4) 3.4/100 because percent is n/100

19. What is ¼ in decimal? 1. .025 2. .25 3. 2.5 4. .0025

19. (2) .25 because it is the same as 25/100

2. 1, 4, 9, 16, 25, 36, 49, 64, ___ ? 1. 72 2. 75 3. 81 4. 90

2. (3) 81 - you can get this by squaring the numbers (1×1=1), (2×2=4), (3×3=9) and so on...

20. What is the ratio of ½ to 2/5? 1. 3:4 2. 5:4 3. 1:3 4. 2:5

20. (2) 5:4 because is is ½ divided by 2/5

21. 2.12 is multiplied by 10 to the sixth power is? 1. 212.000 2. 2,120,000 3. 212,000 4. 21,200

21. (2) 2,120,000 because 10 to the 6th power is in million

22. 25 is multiplied by 10 to the fifth power is? 1. 2,500,000 2. 250,000 3. 25,000 4. .000025

22. (1) 2,500,000 because it is 25 x 100,000

23. Find the value of x in the equation: 5x + 25 =10 1. 5 2. 3 3. -3 4. -5

23. (3) x = -3 because 5(-3) + 25 = 10

24. If x=8, find the value of y in the equation: 4x - 2y = 28. 1. -4 2. -2 3. 4 4. 2

24. (4) y = 2 because 4 (8) - 2 (2) = 28

25. Find the value of x if y= 8 in the equation: 2x + 4y = 50 1. 9 2. 8 3. 10 4. 4

25. (1) x = 9 because 2 (9) + 4(8) = 50

26. Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will be three times as old as Cara. How old is Sam? 1. 2 years old 2. 3 years old 3. 4 years old 4. 5 years old

26. (4) 5 years old - to get it, make a table and derive the equation: Let x be Sam's age: Write the new relationship in an equation using the ages in 5 yrs. In 5 years, Kit will be three times as old as Cara. 2x + 5 = 3 (x-5 + 5) 2x + 5 = 3x x = 5 Sam is now 5 years old.

27. James's dad is 5 times older than James and James is twice as old as his sister Sara. In two years, the sum of their ages will be 58. How old is James now? 1. 6 years old 2. 7 years old 3. 8 years old 4. 9 years old

27. (3) 8 years old - again solve it by making a table and derive the equation: Let x be James's age now. Add 2 to get the ages in 2 yrs. Write the new relationship in an equation using the ages in 2 yrs. In two years, the sum of their ages will be 58. James is now 8 years old.

29. Letty left home and drove at the rate of 50 miles per hour for 2 hours. She stopped for lunch then drove for another 4 hours at 65 mph to reach Los Angeles. How many miles did Letty drive to reach LA? 1. 115 miles 2. 360 miles 3. 310 miles 4. 100 miles

29. (2) 360 miles Solution: D= 50 (2) + 4 (65) = 360 miles

3. 13 -21 34 -55 89 ___? 1. -95 2. 104 3. -123 4. -144

3. (4) -144 - subtract the 3rd and 1st to get the 2nd number, do the same to the next 3 sets

30. Michelle went to SM for the 3-day sale. She bought a new pair of shoes and paid only P2,450 discounted for 20% off. What was the original price of the shoes? 1. P3,062.50 2. P3,260.50 3. P3,620.50 4. P3,026.50

30. (1) Original price is P3,062.50 To get it, simply divide P2450 by 80%

4. AZ CX EV GT ____? 1. IR KP 2. IR KQ 3. IS KQ 4. IS KP

4. (1) IR KP - Use the equivalent ascending and descending letters in the alphabet

5. A5 D25 G125 J625 M3125 ____? 1. P15525 2. P15625 3. O15525 4. O15625

5. (2) P15625 - the pattern is the next 2 letters from the alphabet and the number multiplied by 5 to get the next one...

6. What is -25 + 16? 1. 9 2. -9 3. -41 4. 41

6. 2) -9 -positive + negative numbers is to subtract them and follow the sign of the bigger number

7. What is 107 - (-17) ? 1. -90 2. 90 3. 124 4. -124

7. (3) 124 - positive - negative numbers is to change the sign of the subtrahend and follow the rules in addition

8. (-9) (-22) = ____? 1. 198 2. -198 3. 31 4. -31

8. (1) 198 - multiplying numbers with similar signs = positive

9. (21) (-4) + (8) (-2) = ____? 1. -100 2. 100 3. -23 4. 23

9. (1) -100 - already explained