Benchmark Practice Test Ms. T. Davis RYE 5th Grade Math

Table practice

Fractions Anna has ½ pound of trail mix. She evenly divides the trail mix into 4 bags. How much is in each bag? A 1/6 lb B 1/8 lb C 1/12 lb D 1/16 lb

Strategy and solution Anna has ½ pound of trail mix. She evenly divides the trail mix into 4 bags. How much is in each bag? A 1/6 lb Know Need to know B 1/8 lb has ½ lb how much in C 1/12 lb evenly divide each D 1/16 lb into 4 bags To divide ½ by 4; the student must do the inverse of 4 which is 1/4 then multiply numerator and denominators. ½ x ¼ = 1/8

Whole number practice Lita walks 5 dogs 6 days a week. She gets paid the same amount for each dog she walks. In 3 weeks, she made $360. How much does Lita get paid per day for each dog she walks?

Strategy and solution Lita walks 5 dogs 6 days a week. She gets paid the same amount for each dog she walks. In 3 weeks, she made $360. How much does Lita get paid per day for each dog she walks? Know Need to Know 5 dogs how much per day For 6 days how much per dog Same $ each dog After 3 weeks $360 5d X 6 X 3 = 360 (five dogs time 6 days time 3 weeks will equal 360) 5d x 18 = 360 (multiply number first: 6 time 3 = 18) 5d = 20 (get the variable alone on one side so divide by sides by 5) d = 4 (5d divided by 5 leaves the variable d; same on both sides so divide 20 by 5 will equal 4) Replace d with 4 to check: 5 x 4 x 6 x 3 = 360 (only multiply two numbers at a time) 20 x 6 x 3 = 360 120 x 3 = 360 360 = 360

Decimal practice Shante and Dawn go out for dinner. Shante’s meal costs $12.45 and Dawn’s meal costs $13.29. What is the cost of the two meals together? A $25.64 B $25.74 C $35.64 D $36.74

Line up by place value and regroup is necessary Strategy and solution Shante and Dawn go out for dinner. Shante’s meal costs $12.45 and Dawn’s meal costs $13.29. What is the cost of the two meals together? A $25.64 Know Need to Know B $25.74 S = 12.45 total cost of C $35.64 D = 13.29 both meals D $36.74 together means combine; add Line up by place value and regroup is necessary 1 2 . 4 5 +1 3 . 2 9

Expression and equations practice Derrick is 13 inches taller than his little brother Cedric. Let c be Cedric’s height. Which expression gives Derrick’s height? A c + 13 B c − 13 C 13 − c D 13 ÷ c

Expression for finding D Strategy and solution Derrick is 13 inches taller than his little brother Cedric. Let c be Cedric’s height. Which expression gives Derrick’s height? A c + 13 B c − 13 C 13 − c D 13 ÷ c Know D = 13 taller than C (taller means more than; this operation is addition) C is Cedric’s height Need to know Expression for finding D

Area, perimeter, volume, metric conversion practice 3. Mr. Conner is 6 feet tall. How tall is he in inches? 1 foot = 12 inches A 84 inches B 72 inches C 68 inches D 60 inches

Strategy and solution 3. Mr. Conner is 6 feet tall. How tall is he in inches? 1 foot = 12 inches A 84 inches 12 B 72 inches x6 C 68 inches 72 D 60 inches