Name: ___________________________________
End of Year Test
1.
Write the expression using parentheses so it simplifies to 36.
54 ÷ 6 − 3 × 2
2.
What is the value of the expression?
(8.2 + 3) ÷ 4
3.
Write an expression to represent multiplying twice the difference of 9 and 7.
4.
Describe a relationship between the corresponding pairs in the two patterns.
5.
Describe a relationship between the corresponding pairs in the two patterns.
6.
Write a number in which the digit 3 is ten times the value of the digit 3 in 9.431.
7.
Henry scored 10 points in the first round of a computer game. After twenty more
rounds, his score is
points. How many points does Henry have now? Write
as repeated multiplication and solve.
8.
There are 189.56 acres in a state park. Write 189.56 in expanded form.
9.
James drives 12.2 kilometers to a concert. After the concert, he drives 12.25
kilometers. Compare the distances using >, <, or =.
12.2
12.25
10. Miko downloaded a song in 6.456 seconds. How long did it take to download the
song, rounded to the nearest tenth of a second?
11. Carnie made 35 copies of a 12-page storybook. How many copies did Carnie make
in all?
12. It costs $336 to buy student tickets to a play. If each ticket costs $12, how many
students can attend the play?
13. Write an equation. Then solve.
A company donates 3,240 cans of dog food equally to 9 shelters. How many cans of
dog food does did each shelter get? Write an equation. Then solve.
14. The heights of two sunflowers are 3.26 meters and 1.8 meters. What is the
difference in the heights?
15. Lourdes paid $11.70 for some tubes of paint. She paid $0.65 for each tube. How
many tubes of paint did Lourdes buy?
16.
Nelson needs
cups flour to make a loaf of bread and
pretzels. How many cups of flour does Nelson need in all?
cups flour to make
17. Write an equation and solve the problem.
Ruben is making pasta sauce. He uses
oregano, and
use?
teaspoon of thyme,
teaspoon of
teaspoon of basil. How many teaspoons of spices does Ruben
18. Write an equation and solve the problem.
Two kittens weigh a total
pound. If one kitten weighs
weight of the other kitten?
pound, what is the
19. Write an equation and solve the problem.
The sidewalk in front of a store has an area of 33 feet and a length of 12 feet. What
is the width of the sidewalk? Write the answer as a mixed number.
20. Four friends share 2 apples. What fraction of an apple does each friend get? Use
the model to help solve the problem.
21.
Natalie has 3 calendars. She gives
of the calendars to friends. Write the number
that completes the expression. Then solve to find how many calendars Natalie
gives to her friends.
22.
A rectangular address label is
the address label?
inches long and
inch wide. What is the area of
23.
A rectangular garden has a width of
What is its area?
yards. The length of the garden is 2 yards.
24.
Marty did 24 chin-ups. Elise did
as many chin-ups as Marty. Predict whether Elise
did more or fewer chin-ups than Marty. Then find the number of chin-ups Elise did.
25.
Kerry spent 2 hours painting her room. Tim spent
as much time painting as Kerry
did. Did Tim spend more or less time painting than Kerry? Explain.
26.
A farmer harvests
harvest?
of
acres of cotton. How many acres does the farmer
27. Describe a situation this division could represent. Then solve.
÷3
28.
Darien has
jar of pepper sauce she wants to use for 2 dishes. What fraction of the
jar can she use for each recipe?
29.
Bret cuts a 3-foot dowel into
-foot pieces. How many pieces does he cut?
30.
Tori uses
yard of fabric to make an eyeglass case. How many cases can she
make out of 3 yards of fabric? Write a division equation. Then solve.
31. Mr. Bates needs 4 yards of green felt for some science projects. He needs 2 feet
less than twice that amount of blue felt. How many feet of blue felt does he need?
32. A basketball has a mass of 600 grams. If the basketball coach orders 12
basketballs, what is the total mass of the basketballs in kilograms?
33. This line plot shows the weight of packages sent from Gilbert's online store last
week. What is the total weight of the packages?
34. This solid figure contains 8 unit cubes without gaps or overlaps. What is the
volume of the figure in cubic units?
35. This solid figure contains 20 unit cubes without gaps or overlaps. What is the
volume of the figure in cubic units?
36. Each unit cube in the rectangular prism is one cubic centimeter. Find the number of
unit cubes in the prism. Then find the volume.
37. What is the volume of the prism in cubic units?
38. A planter in the shape of a rectangular prism is 4 feet wide, 4 feet long, and 3 feet
deep. What is the volume of the planter? Use a formula to write an equation and to
solve the problem.
39. Use a formula to write an equation and calculate the volume of the figure.
40. Use a formula to write an equation and calculate the volume of the figure.
41. What ordered pair represents the location of point A?
42. Which point is located at (2, 8)?
43. Explain how to plot point Hon the coordinate plane.
44. The graph represents the amount of snowfall received during a storm. How much
snow had fallen after
hours?
45. The graph represents the miles Lina walks each hour. How many miles does Lina
walk in
hours?
46. What is the perimeter of rectangle WXYZ?
47. Write the names of all the figures from the box that always have two pairs of parallel
sides.
48. Explain why a square is a rhombus.
49. Write all the names from the box that describe this polygon.
50. Write all the names from the box that describe this polygon.
End of Year Test
ANSWER KEY
1.
Write the expression using parentheses so it simplifies to 36.
54 ÷ 6 − 3 × 2
54 ÷ (6 − 3) × 2
2.
What is the value of the expression?
(8.2 + 3) ÷ 4
2.8
3.
Write an expression to represent multiplying twice the difference of 9 and 7.
2 × (9 − 7) or (9 − 7) × 2
4.
Describe a relationship between the corresponding pairs in the two patterns.
Possible answer: The terms in the add 12 pattern are four times as great as the
corresponding terms in the add 3 pattern.
5.
Describe a relationship between the corresponding pairs in the two patterns.
Possible answer: The terms in the add 15 pattern are three times as great as the
corresponding terms in the add 5 pattern.
6.
Write a number in which the digit 3 is ten times the value of the digit 3 in 9.431.
Possible answer: 2.35
7.
Henry scored 10 points in the first round of a computer game. After twenty more
rounds, his score is
points. How many points does Henry have now? Write
as repeated multiplication and solve.
10^4 = 10 × 10 × 10 × 10 = 10,000 points
8.
There are 189.56 acres in a state park. Write 189.56 in expanded form.
100 + 80 + 9 + 0.5 + 0.06
9.
James drives 12.2 kilometers to a concert. After the concert, he drives 12.25
kilometers. Compare the distances using >, <, or =.
12.2
12.25
<
10. Miko downloaded a song in 6.456 seconds. How long did it take to download the
song, rounded to the nearest tenth of a second?
6.5 seconds
11. Carnie made 35 copies of a 12-page storybook. How many copies did Carnie make
in all?
420 copies
12. It costs $336 to buy student tickets to a play. If each ticket costs $12, how many
students can attend the play?
28 students
13. Write an equation. Then solve.
A company donates 3,240 cans of dog food equally to 9 shelters. How many cans of
dog food does did each shelter get? Write an equation. Then solve.
Possible equation: n = 3, 240 ÷ 9; 360 cans
14. The heights of two sunflowers are 3.26 meters and 1.8 meters. What is the
difference in the heights?
1.46 meters
15. Lourdes paid $11.70 for some tubes of paint. She paid $0.65 for each tube. How
many tubes of paint did Lourdes buy?
18 tubes
16.
Nelson needs
cups flour to make a loaf of bread and
pretzels. How many cups of flour does Nelson need in all?
6 5/12 cups
cups flour to make
17. Write an equation and solve the problem.
Ruben is making pasta sauce. He uses
oregano, and
use?
teaspoon of thyme,
teaspoon of
teaspoon of basil. How many teaspoons of spices does Ruben
Possible equation: 1/2 + 3/4 + 7/8 = s, s = 2 1/8; 2 1/8 teaspoons
18. Write an equation and solve the problem.
Two kittens weigh a total
pound. If one kitten weighs
weight of the other kitten?
pound, what is the
Possible equation: w = 5/8 − 1/4 , w = 3/8; 3/8 pound
19. Write an equation and solve the problem.
The sidewalk in front of a store has an area of 33 feet and a length of 12 feet. What
is the width of the sidewalk? Write the answer as a mixed number.
Possible equation: 33 ÷ 12 = w, w = 2 9/12 or 2 3/4; 2 9/12 feet or 2 3/4 feet
20. Four friends share 2 apples. What fraction of an apple does each friend get? Use
the model to help solve the problem.
2/4 or 1/2 of an apple
21.
Natalie has 3 calendars. She gives
of the calendars to friends. Write the number
that completes the expression. Then solve to find how many calendars Natalie
gives to her friends.
2/3; 6/3 calendars or 2 calendars
22.
A rectangular address label is
the address label?
1 7/8 square inches
inches long and
inch wide. What is the area of
23.
A rectangular garden has a width of
What is its area?
yards. The length of the garden is 2 yards.
5 1/3 square yards
24.
Marty did 24 chin-ups. Elise did
as many chin-ups as Marty. Predict whether Elise
did more or fewer chin-ups than Marty. Then find the number of chin-ups Elise did.
fewer; 15 chin-ups
25.
Kerry spent 2 hours painting her room. Tim spent
as much time painting as Kerry
did. Did Tim spend more or less time painting than Kerry? Explain.
less time; Possible explanation: Tim spent less time because 3/4 is only part of the time
that Kerry spent.
26.
A farmer harvests
harvest?
of
acres of cotton. How many acres does the farmer
2 1/3 acres
27. Describe a situation this division could represent. Then solve.
÷3
Possible situation: Heather has 1/4 hour to read 3 pages in a book. What fraction of an
hour can she spend on each page?; 1/12 hour
28.
Darien has
jar of pepper sauce she wants to use for 2 dishes. What fraction of the
jar can she use for each recipe?
1/4 of a jar
29.
Bret cuts a 3-foot dowel into
9 pieces
-foot pieces. How many pieces does he cut?
30.
Tori uses
yard of fabric to make an eyeglass case. How many cases can she
make out of 3 yards of fabric? Write a division equation. Then solve.
Possible equation: 3 ÷ 1/4 = c; c = 12; 12 eyeglass cases
31. Mr. Bates needs 4 yards of green felt for some science projects. He needs 2 feet
less than twice that amount of blue felt. How many feet of blue felt does he need?
22 feet of blue felt
32. A basketball has a mass of 600 grams. If the basketball coach orders 12
basketballs, what is the total mass of the basketballs in kilograms?
7.2 kilograms
33. This line plot shows the weight of packages sent from Gilbert's online store last
week. What is the total weight of the packages?
23 3/4 pounds
34. This solid figure contains 8 unit cubes without gaps or overlaps. What is the
volume of the figure in cubic units?
8 cubic units
35. This solid figure contains 20 unit cubes without gaps or overlaps. What is the
volume of the figure in cubic units?
20 cubic units
36. Each unit cube in the rectangular prism is one cubic centimeter. Find the number of
unit cubes in the prism. Then find the volume.
36 unit cubes; 36 cubic centimeters
37. What is the volume of the prism in cubic units?
72 cubic units
38. A planter in the shape of a rectangular prism is 4 feet wide, 4 feet long, and 3 feet
deep. What is the volume of the planter? Use a formula to write an equation and to
solve the problem.
V = 4 × 4 × 3, V = 48; 48 cu ft
39. Use a formula to write an equation and calculate the volume of the figure.
V = 15 × 8 × 7, V = 840; 840 cu m
40. Use a formula to write an equation and calculate the volume of the figure.
V = 10 × 3 × 7 + 8 × 3 × 13, V = 210 + 312, V = 522; 522 cu in.
41. What ordered pair represents the location of point A?
(9, 7)
42. Which point is located at (2, 8)?
point Q
43. Explain how to plot point Hon the coordinate plane.
Possible answer: Start at the origin. Move right 4 units on the x-axis. Then move up
6 units on the y-axis. The x-coordinate of point H is 4, and the y-coordinate is 6. The
ordered pair is (4, 6).
44. The graph represents the amount of snowfall received during a storm. How much
snow had fallen after
hours?
14 centimeters
45. The graph represents the miles Lina walks each hour. How many miles does Lina
walk in
hours?
10 miles
46. What is the perimeter of rectangle WXYZ?
22 units
47. Write the names of all the figures from the box that always have two pairs of parallel
sides.
parallelogram, rhombus, rectangle, square
48. Explain why a square is a rhombus.
Possible explanation: A rhombus has four congruent sides, so a square is a rhombus
because it has four congruent sides.
49. Write all the names from the box that describe this polygon.
quadrilateral, trapezoid
50. Write all the names from the box that describe this polygon.
acute triangle, isosceles triangle