:Q 1. Find the ratio between 10 inches and (1) one yard. (a) 5/9 (b) 1/2 (c) 5/18 (d) 5/8 (e) 3/8 :RCC 1. (c) 5/18 Ans. Note: Keep your units the same 1 yard = 36 inches 10 5 -- = -- Ans. when reduced 36 18 to lowest terms :RA :Q 2. Find the value of y, if 4:a = y:b (a) 4b/a (b) 2b/a (c) b/a (d) ab (e) b/a :RCA 2. (a) 4b/a Ans. Note: Re-write in fraction form. 4 y - = - a b ya = 4b y = 4b/a Ans. :RA :Q 3. How many miles are there between 2 cities, if the distance is represented by a 1.2 inch line on a map having a scale of 1/3 inches to 6 miles? (a) 20 (b) 21 (c) 21.5 (d) 21.6 (e) 15 :RCD 3. (d) 21.6 Ans. DIRECT PROPORTION actual (mi.) map (in.) y 1.2 - = --- 6 1/3 1/3y = 7.2 21.6 miles = y Ans. :RA :Q 4. How many cents will r books cost if t books cost m dollars? (a) 50rm/t (b) 10rm/t (c) 100rm/t (d) rm/t (e) 1000rm/t :RCC 4. (c) 100rm/t Ans. m dollars = 100m cents DIRECT PROPORTION books cents r y - = ---- t 100m ty = 100rm y = 100rm/t cents Ans. :RA :Q 5. If apples cost 2 for 50 cents, find the cost of 1 2/3 dozen apples? (a) $4 (b) $8 (c) $9 (d) $10 (e) $5 :RCE 5. (e) $5 Ans. Note: Convert dozen into individual apples by multiplying by 12. 1 2/3 x 12 = 5/3 x 12 = 20 apples 2 50 -- = -- 20 y 2y = 1000 y = 500 cents or $5 Ans. :RA :Q 6. If it takes 10 minutes to walk 4/5 miles, how many minutes will it take to walk the rest of the mile? (a) 2 min (b) 4 min (c) 2.4 min (d) 2.5 min (e) 1 min :RCD 6. (d) 2.5 min Ans. Note: Find the rest of the distance 10 y --- = --- 4/5 1/5 4/5y = 2 4y = 10 y = 2.5 min. Ans. :RA :Q 7. If 5 people paint a house in k hours, how many hours will it take p people to do the same job? (a) 5k/p (b) pk (c) 0 (d) pk/1 (e) k/5 :RCA 7. (a) 5k/p Ans. INVERSE PROPORTION people hours 5 y - = - P k py = 5k y = 5k/p hrs. Ans. :RA :Q 8. If 8 tractors are needed to plow a field in 6 hours, how many tractors are needed to plow the field in 3 hours? (a) 10 (b) 5 (c) 8 (d) 12 (e) 16 :RCE 8. (e) 16 tractors Ans. INVERSE PROPORTION tractors hours 8 3 - = - y 6 3y = 48 y = 16 tractors Ans. :RA :Q 9. A car that gets 15 miles per gallon of gasoline can travel 270 miles on a full tank. If the same car got 30 miles per gallon, how many miles could it travel on a full tank? (a) 54 mi. (b) 540 mi. (c) 500 mi. (d) 520 mi. (e) 440 mi. :RCB 9. (b) 540 mi. Ans. DIRECT PROPORTION mpg miles 15 270 -- = --- 30 y 15y = 8100 y = 540 miles Ans. :ET :ET
