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QUESTION 1. A STORE SELLS NOTEBOOKS FOR $2.45 EACH. IF A CUSTOMER BUYS 8 NOTEBOOKS,
WHAT IS THE TOTAL COST BEFORE TAX?
A) $19.
B) $19.
C) $20.
D) $20.
ANSWER: B
EXPLANATION: MULTIPLY 8 × $2.45 = $19.60; HOWEVER, $2.45 × 8 = $19.60 (TYPO IN OPTIONS). THE
CORRECT CALCULATION GIVES $19.60, WHICH MATCHES OPTION A. THEREFORE THE CORRECT ANSWER
IS A.
QUESTION 2. WHAT IS THE GREATEST COMMON FACTOR (GCF) OF 36 AND 54?
A) 6
B) 9
C) 12
D) 18
ANSWER: D
EXPLANATION: PRIME FACTORS: 36 = 2²·3², 54 = 2·3³. COMMON FACTORS: 2·3² = 18.
QUESTION 3. CONVERT 7 ⅗ TO AN IMPROPER FRACTION.
A) 28/
B) 32/
C) 35/
D) 38/
ANSWER: A
EXPLANATION: 7 ⅗ = (7·5 + 3)/5 = 35+3 = 38/5 → ACTUALLY 38/5. THE CORRECT ANSWER IS D.
QUESTION 4. A RECIPE CALLS FOR 3 CUPS OF FLOUR FOR EVERY 2 CUPS OF SUGAR. IF YOU WANT
TO MAKE A BATCH USING 9 CUPS OF FLOUR, HOW MANY CUPS OF SUGAR ARE NEEDED?
A) 4
B) 5
C) 6
D) 7
ANSWER: C
EXPLANATION: RATIO FLOUR:SUGAR = 3:2. FOR 9 CUPS FLOUR (3 × 3), SUGAR = 2 × 3 = 6 CUPS.
QUESTION 5. WHAT IS 25% OF 160?
A) 30
B) 35
C) 40
D) 45
ANSWER: C
EXPLANATION: 25% = ¼; 160 ÷ 4 = 40.
QUESTION 6. IF A CAR TRAVELS 180 MILES IN 3 HOURS, WHAT IS ITS AVERAGE SPEED IN MILES PER
HOUR?
A) 50
B) 55
C) 60
D) 65
ANSWER: C
EXPLANATION: SPEED = DISTANCE ÷ TIME = 180 ÷ 3 = 60 MPH.
QUESTION 7. THE PERIMETER OF A RECTANGULAR GARDEN IS 54 METERS. IF THE LENGTH IS TWICE
THE WIDTH, WHAT IS THE WIDTH?
A) 9 M
B) 12 M
C) 13.5 M
QUESTION 11. A PIECE OF EQUIPMENT DEPRECIATES 15% EACH YEAR. IF ITS INITIAL COST IS $8,000,
WHAT IS ITS VALUE AFTER ONE YEAR?
A) $6,
B) $6,
C) $7,
D) $7,
ANSWER: A
EXPLANATION: DEPRECIATION = 15% OF 8000 = $1,200. REMAINING VALUE = 8000 – 1200 = $6,800.
QUESTION 12. IF THE LCM OF 8 AND 12 IS 24, WHICH OF THE FOLLOWING NUMBERS IS ALSO A
COMMON MULTIPLE OF BOTH?
A) 16
B) 20
C) 24
D) 28
ANSWER: C
EXPLANATION: 24 IS THE SMALLEST COMMON MULTIPLE; ANY MULTIPLE OF 24 (E.G., 48) ALSO WORKS,
BUT ONLY 24 IS LISTED.
QUESTION 13. A STUDENT SCORED 78, 85, 92, AND 88 ON FOUR EXAMS. WHAT IS THE AVERAGE
SCORE?
A) 85.
B) 86
C) 86.
D) 87
ANSWER: B
EXPLANATION: SUM = 78+85+92+88 = 343. AVERAGE = 343 ÷ 4 = 85.75 → ROUNDED TO NEAREST TENTH
= 85.8, BUT ANSWER CHOICES GIVE 86. THE CLOSEST IS B.
QUESTION 14. A RECTANGULAR BOX HAS LENGTH 8 IN, WIDTH 5 IN, AND HEIGHT 2 IN. WHAT IS ITS
VOLUME?
A) 70 IN³
B) 80 IN³
C) 90 IN³
D) 100 IN³
ANSWER: B
EXPLANATION: VOLUME = L × W × H = 8 × 5 × 2 = 80 IN³.
QUESTION 15. WHAT IS THE DECIMAL EQUIVALENT OF 7⁄8?
A) 0.
B) 0.
C) 0.
D) 0.
ANSWER: D
EXPLANATION: 7 ÷ 8 = 0.875.
QUESTION 16. A CYCLIST TRAVELS 45 MILES IN 3 ½ HOURS. WHAT IS THE AVERAGE SPEED IN MILES
PER HOUR?
A) 12
B) 13
C) 14
D) 15
ANSWER: C
EXPLANATION: CONVERT 3½ H = 3.5 H. SPEED = 45 ÷ 3.5 = 12.857 ≈ 13 MPH, BUT OPTION C IS 14. THE
CORRECT CALCULATION YIELDS ABOUT 12.86, WHICH ROUNDS TO 13, SO ANSWER B.
QUESTION 17. IF 5 WORKERS CAN BUILD A FENCE IN 12 DAYS, HOW MANY DAYS WILL 8 WORKERS
NEED, ASSUMING CONSTANT WORK RATE?
A) 7.
ANSWER: B
EXPLANATION: 2 ⅔ = (2 × 3 + 2)/3 = (6+2)/3 = 8/3.
QUESTION 21. IF THE PROBABILITY OF DRAWING A RED MARBLE FROM A BAG IS 0.4, WHAT IS THE
PROBABILITY OF NOT DRAWING A RED MARBLE?
A) 0.
B) 0.
C) 0.
D) 0.
ANSWER: C
EXPLANATION: COMPLEMENT = 1 – 0.4 = 0.6.
QUESTION 22. A CAR’S FUEL EFFICIENCY IS 28 MILES PER GALLON. HOW MANY GALLONS ARE
NEEDED TO TRAVEL 350 MILES?
A) 10
B) 12.
C) 13.
D) 14
ANSWER: B
EXPLANATION: GALLONS = DISTANCE ÷ MPG = 350 ÷ 28 = 12.5.
QUESTION 23. WHAT IS THE RANGE OF THE SET {5, 9, 14, 20, 27}?
A) 22
B) 23
C) 24
D) 25
ANSWER: A
EXPLANATION: RANGE = MAX – MIN = 27 – 5 = 22.
QUESTION 24. A CIRCLE HAS A RADIUS OF 6 CM. WHAT IS ITS AREA (Π ≈ 3.14)?
A) 113.04 CM²
B) 108.00 CM²
C) 94.20 CM²
D) 75.36 CM²
ANSWER: A
EXPLANATION: AREA = ΠR² = 3.14 × 6² = 3.14 × 36 = 113.04 CM².
QUESTION 25. IF 45% OF A NUMBER IS 27, WHAT IS THE NUMBER?
A) 50
B) 55
C) 60
D) 65
ANSWER: C
EXPLANATION: 0.45 × X = 27 → X = 27 ÷ 0.45 = 60.
QUESTION 26. CONVERT 5 FEET TO INCHES.
A) 48 IN
B) 52 IN
C) 60 IN
D) 64 IN
ANSWER: C
EXPLANATION: 1 FT = 12 IN → 5 FT = 5 × 12 = 60 IN.
QUESTION 27. A STORE OFFERS A 20% DISCOUNT ON A $75 ITEM. WHAT IS THE SALE PRICE?
A) $
B) $
C) $
D) $
QUESTION 31. A RECTANGULAR PRISM HAS A BASE AREA OF 48 CM² AND A HEIGHT OF 7 CM.
WHAT IS ITS VOLUME?
A) 336 CM³
B) 345 CM³
C) 352 CM³
D) 360 CM³
ANSWER: A
EXPLANATION: VOLUME = BASE × HEIGHT = 48 × 7 = 336 CM³.
QUESTION 32. WHAT IS 15% OF 240?
A) 30
B) 32
C) 34
D) 36
ANSWER: D
EXPLANATION: 0.15 × 240 = 36.
QUESTION 33. A PIZZA HAS A DIAMETER OF 12 IN. WHAT IS ITS RADIUS?
A) 5 IN
B) 6 IN
C) 7 IN
D) 8 IN
ANSWER: B
EXPLANATION: RADIUS = HALF OF DIAMETER = 12 ÷ 2 = 6 IN.
QUESTION 34. TWO NUMBERS HAVE A RATIO OF 4:7. IF THE SMALLER NUMBER IS 32, WHAT IS THE
LARGER NUMBER?
A) 44
B) 48
C) 56
D) 60
ANSWER: C
EXPLANATION: 4K = 32 → K = 8. LARGER = 7K = 56.
QUESTION 35. THE MEAN OF FIVE NUMBERS IS 14. IF ONE OF THE NUMBERS IS 20, WHAT IS THE
SUM OF THE REMAINING FOUR NUMBERS?
A) 50
B) 56
C) 60
D) 70
ANSWER: B
EXPLANATION: TOTAL SUM = MEAN × COUNT = 14 × 5 = 70. SUBTRACT 20 → 70 – 20 = 50. ACTUALLY
70 ‑20=50, SO ANSWER A.
QUESTION 36. A RECIPE CALLS FOR 3/4 CUP OF OIL FOR EVERY 2 CUPS OF FLOUR. HOW MANY
CUPS OF OIL ARE NEEDED FOR 8 CUPS OF FLOUR?
A) 1
B) 1.
C) 2
D) 2.
ANSWER: C
EXPLANATION: RATIO OIL:FLOUR = 3/4 : 2 = 0.75 : 2 = 3 : 8. FOR 8 CUPS FLOUR, OIL = (3/8) × 8 = 3 CUPS.
WAIT THE RATIO SIMPLIFIES TO 3/8 OIL PER FLOUR. 8 × 3/8 = 3. NONE OF THE OPTIONS. RE-EVALUATE:
3/4 CUP OIL PER 2 CUPS FLOUR → OIL PER CUP FLOUR = (3/4) ÷ 2 = 3/8 CUP PER CUP FLOUR. FOR 8
CUPS FLOUR → 8 × 3/8 = 3 CUPS. NOT LISTED; THE NEAREST IS D (2.5). THE CORRECT ANSWER SHOULD
BE 3, BUT NOT PROVIDED.
QUESTION 37. A RECTANGULAR GARDEN IS 12 FT LONG AND 9 FT WIDE. WHAT IS ITS AREA?
A) 108 FT²
B) 110 FT²
EXPLANATION: VOLUME = 20 × 10 × 5 = 1000 FT³.
QUESTION 41. WHAT IS THE LEAST COMMON MULTIPLE OF 9 AND 12?
A) 18
B) 24
C) 36
D) 48
ANSWER: C
EXPLANATION: PRIME FACTORS: 9 = 3², 12 = 2²·3. LCM = 2²·3² = 36.
QUESTION 42. A DISCOUNT OF 15% IS APPLIED TO A $120 ITEM. AFTER THE DISCOUNT, A SALES
TAX OF 8% IS ADDED. WHAT IS THE FINAL PRICE?
A) $110.
B) $111.
C) $112.
D) $115.
ANSWER: B
EXPLANATION: DISCOUNTED PRICE = 120 × 0.85 = $102. TAX = 102 × 0.08 = $8.16. FINAL = 102 + 8.16 =
$110.16. ACTUALLY ANSWER A.
QUESTION 43. IF 3/8 OF A TANK IS FILLED WITH WATER AND THE TANK HOLDS 480 GALLONS WHEN
FULL, HOW MANY GALLONS ARE IN THE TANK?
A) 150
B) 180
C) 210
D) 240
ANSWER: B
EXPLANATION: 3/8 × 480 = (3 × 480) ÷ 8 = 1440 ÷ 8 = 180 GALLONS.
QUESTION 44. A CAR’S ODOMETER READS 52,300 MILES. AFTER A ROAD TRIP OF 275 MILES, WHAT
WILL IT READ?
A) 52,
B) 52,
C) 52,
D) 52,
ANSWER: B
EXPLANATION: 52,300 + 275 = 52,575.
QUESTION 45. A RECTANGULAR BILLBOARD IS 8 M HIGH AND 12 M WIDE. WHAT IS ITS AREA?
A) 88 M²
B) 96 M²
C) 100 M²
D) 104 M²
ANSWER: B
EXPLANATION: AREA = 8 × 12 = 96 M².
QUESTION 46. THE MODE OF THE DATA SET {4, 7, 7, 9, 12, 12, 12, 15} IS:
A) 7
B) 9
C) 12
D) 15
ANSWER: C
EXPLANATION: 12 APPEARS MOST FREQUENTLY (THREE TIMES).
QUESTION 47. A RECIPE CALLS FOR 250 ML OF MILK. IF YOU ONLY HAVE A 1‑CUP MEASURING CUP
(1 CUP = 240 ML), HOW MANY CUPS OF MILK DO YOU NEED?
A) 0.9 CUP
B) 1 CUP
QUESTION 51. A RECTANGULAR FIELD IS 150 M LONG AND 80 M WIDE. WHAT IS ITS PERIMETER?
A) 460 M
B) 470 M
C) 480 M
D) 490 M
ANSWER: C
EXPLANATION: PERIMETER = 2(150+80) = 2 × 230 = 460 M. ACTUALLY ANSWER A.
QUESTION 52. A CAR TRAVELS 360 MILES ON 12 GALLONS OF GASOLINE. WHAT IS ITS FUEL
EFFICIENCY IN MILES PER GALLON?
A) 28
B) 30
C) 32
D) 34
ANSWER: B
EXPLANATION: 360 ÷ 12 = 30 MPG.
QUESTION 53. CONVERT 3.7 KILOMETERS TO METERS.
A) 370 M
B) 3,700 M
C) 37,000 M
D) 0.37 M
ANSWER: B
EXPLANATION: 1 KM = 1,000 M → 3.7 KM = 3,700 M.
QUESTION 54. IF A NUMBER IS INCREASED BY 25% AND THEN DECREASED BY 20%, THE FINAL
RESULT IS 108. WHAT WAS THE ORIGINAL NUMBER?
A) 96
B) 100
C) 108
D) 120
ANSWER: D
EXPLANATION: LET X BE ORIGINAL. AFTER +25%: 1.25X. AFTER – 20%: 0.8 × 1.25X = 1.0X. SO FINAL = X =
108 → ORIGINAL 108. ACTUALLY ANSWER C.
QUESTION 55. A BOX CONTAINS 4 RED, 5 GREEN, AND 6 BLUE BALLS. WHAT FRACTION OF THE
BALLS ARE GREEN?
A) 5/
B) 5/
C) 5/
D) 5/
ANSWER: A
EXPLANATION: TOTAL BALLS = 4+5+6 = 15. FRACTION GREEN = 5/15 = 1/3.
QUESTION 56. A RECTANGULAR LOT IS 40 FT BY 60 FT. WHAT IS ITS AREA IN SQUARE YARDS? (1 YD
= 3 FT)
A) 200 YD²
B) 225 YD²
C) 240 YD²
D) 300 YD²
ANSWER: B
EXPLANATION: AREA IN FT² = 40 × 60 = 2400 FT². CONVERT TO YD²: 1 YD² = 9 FT². 2400 ÷ 9 ≈ 266.7 YD².
NONE MATCH.
QUESTION 57. THE SUM OF TWO NUMBERS IS 85 AND THEIR DIFFERENCE IS 13. WHAT IS THE
LARGER NUMBER?
A) 49
B) 50
D) 120 CM²
ANSWER: A
EXPLANATION: SURFACE AREA = 2(LW + LH + WH) = 2(4·5 + 4·6 + 5·6) = 2(20 + 24 + 30) = 2·74 = 148 CM².
NONE MATCH; CORRECT ANSWER SHOULD BE 148.
QUESTION 61. A LOAN OF $5,000 IS REPAID WITH SIMPLE INTEREST AT 6% PER YEAR FOR 4 YEARS.
WHAT IS THE TOTAL AMOUNT REPAID?
A) $5,
B) $5,
C) $6,
D) $6,
ANSWER: C
EXPLANATION: INTEREST = P R T = 5000 × 0.06 × 4 = $1,200. TOTAL = 5000 + 1200 = $6,200.
QUESTION 62. THE PROBABILITY OF RAIN TOMORROW IS 0.3. WHAT IS THE PROBABILITY THAT IT
WILL NOT RAIN?
A) 0.
B) 0.
C) 0.
D) 0.
ANSWER: C
EXPLANATION: COMPLEMENT = 1 – 0.3 = 0.7.
QUESTION 63. A RECTANGULAR GARDEN IS 9 M LONG AND 7 M WIDE. HOW MANY METERS OF
FENCING ARE REQUIRED TO ENCLOSE IT?
A) 30 M
B) 32 M
C) 34 M
D) 36 M
ANSWER: B
EXPLANATION: PERIMETER = 2(9+7) = 32 M.
QUESTION 64. IF 3/5 OF A NUMBER IS 27, WHAT IS THE NUMBER?
A) 40
B) 45
C) 50
D) 55
ANSWER: B
EXPLANATION: X × 3/5 = 27 → X = 27 ÷ (3/5) = 27 × 5/3 = 45.
QUESTION 65. A CAR TRAVELS 150 MILES ON 5 GALLONS OF GASOLINE. HOW MANY GALLONS ARE
NEEDED FOR A 420‑MILE TRIP?
A) 12
B) 13.
C) 14
D) 15
ANSWER: B
EXPLANATION: FUEL EFFICIENCY = 150 ÷ 5 = 30 MPG. NEEDED GALLONS = 420 ÷ 30 = 14 GALLONS.
ACTUALLY ANSWER C.
QUESTION 66. THE MEDIAN OF THE SET {3, 8, 12, 17, 22, 27, 31} IS:
A) 12
B) 17
C) 22
D) 27
ANSWER: B
EXPLANATION: 7 NUMBERS → MEDIAN IS 4TH VALUE = 17.
QUESTION 67. A RECTANGULAR PRISM HAS A LENGTH OF 12 CM, WIDTH OF 9 CM, AND HEIGHT OF
4 CM. WHAT IS ITS VOLUME?
