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5th Math End of Year Case (20-21

Total questions: 48

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

A unit cube has a side length of 1 unit. What is the volume of the unit cube?

a)

6 cubic units

b)

4 cubic units

c)

2 cubic units

d)

1 cubic unit

2.

Which expression is equivalent to 15, 314?

a)

806 x 19

b)

807 x 19

c)

808 x 18

d)

809 x 18

3.

Consider the square. What is the area of the square?

a)

4/4 square unit

b)

4/8 square unit

c)

1/2 square unit

d)

4/16 square unit

4.

Which expression represents the product of 4 and the difference of 17 and 9?

a)

4 + (17 + 9)

b)

4 + (17 - 9)

c)

4 × (17 + 9)

d)

4 × (17 - 9)

5.

Consider the two rules: - The x-coordinate starts with 0 and increases by 4. - The y-coordinate starts with 0 and increases by 6. Which ordered pair would be part of the series?

a)

(4,2)

b)

(6,4)

c)

(12,18)

d)

(24,16)

6.

What is the sum of and 4 310 and 2 41004\ \frac{3}{10}\ and\ 2\ \frac{4}{100} ?

a)

6 71006\ \frac{7}{100}

b)

6 7106\ \frac{7}{10}

c)

6 341006\ \frac{34}{100}

d)

6 34106\ \frac{34}{10}

7.

A figure is built of cubes, as shown. Each cube measures 1 cubic foot. What is the volume of the figure?

a)

33 cubic feet

b)

36 cubic feet

c)

40 cubic feet

d)

44 cubic feet

8.

Which statement is true?

a)

All polygons have 4 right angles, and a rhombus is a polygon; therefore, all rhombuses have 4 right angles.

b)

All parallelograms have all 4 sides equal in length, and a rectangle is a parallelogram; therefore, all rectangles have all 4 sides equal in length.

c)

All rectangles have 4 right angles, and a square is a rectangle; therefore, all squares have 4 right angles.

d)

All squares have all 4 sides equal in length, and a square is a quadrilateral; therefore, all quadrilaterals have all 4 sides equal in length.

9.

What is the product of 2.3 and 1.8?

a)

3.1

b)

3.11

c)

4.1

d)

4.14

10.

A student claims 7.4 ÷ 10¹ = 74. Which statement is true?

a)

The student is incorrect because 7.4 ÷ 10¹ = 7.4 ÷ 10 = 0.74.

b)

The student is incorrect because 7.4 ÷ 10¹ = 7.4 ÷ 100 = 0.74.

c)

The student is correct because 7.4 ÷ 10¹ = 7.4 ÷ 10 = 74.

d)

The student is correct because 7.4 ÷ 10¹ = 7.4 ÷ 100 = 74.

11.

Which expression has a value equal to 1 5/6?

a)

1 5/6 × 5/6

b)

1 5/6 ÷ 6/6

c)

1 5/6 × 6/5

d)

1 5/6 ÷ 11/6

12.

Which model represents 1/8 ÷ 4?

a)

b)

c)

d)

13.

A store owner buys 385 cases of eggs. Each case of eggs contains 48 eggs. How many eggs does the store owner buy?

a)

18,240 eggs

b)

18,480 eggs

c)

19,250 eggs

d)

19,500 eggs

14.

Consider the expression 1 23  ×621\ \frac{2}{3}\ \ \times\frac{6}{2} . Which statement is true?

a)

The product of  1 23 ×62  \ 1\ \frac{2}{3\ }\times\frac{6}{2}\ \ is greater than 1 231\ \frac{2}{3} because 62\frac{6}{2} is less than 1.

b)

The product of  1 23 ×62  \ 1\ \frac{2}{3\ }\times\frac{6}{2}\ \ is greater than 1 231\ \frac{2}{3} because 62\frac{6}{2} is greater than 1.

c)

The product of  1 23 ×62  \ 1\ \frac{2}{3\ }\times\frac{6}{2}\ \ is less than 1 231\ \frac{2}{3} because 62\frac{6}{2} is less than 1.

d)

The product of  1 23 ×62  \ 1\ \frac{2}{3\ }\times\frac{6}{2}\ \ is less than l 1 231\ \frac{2}{3} because 62\frac{6}{2} is greater than 1.

15.

Which coordinate plane correctly plots the origin and (9, 7)?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

16.

Study the expression. 8 x 2 + 3 – 2. Which addition of grouping symbols will result in an expression that is equivalent to 38?

a)

8 x [2 + (3 – 2)]

b)

8 x [(2 + 3) – 2]

c)

[(8 x 2) + 3] – 2

d)

[8 x (2 + 3)] – 2

17.

Which statement is true?

a)

If 1/4 is added to 4/8, the result will be less than 1.

b)

If 2/4 is added to 4/8, the result will be less than 1.

c)

If 1/4 is subtracted from 1 4/8, the result will be less than 1.

d)

If 2/4 is subtracted from 1 4/8, the result will be less than 1.

18.

A student stacks unit cubes to make a figure. The figure has a length of 6 inches, a width of 2 inches, and a height of 5 inches. What is the volume of the figure?

a)

60 cubic inches

b)

40 cubic inches

c)

17 cubic inches

d)

13 cubic inches

19.

Which is an equivalent form of 3,860.12?

a)

(3 x 1,000) + (8 x 100) + (6 x 10) + (1 x 1/10) + (2 x 1/10)

b)

(3 x 1,000) + (8 x 100) + (6 x 10) + (1 x 1/10) + (2 x 1/100)

c)

(3 x 1,000) + (8 x 100) + (6 x 1) + (1 x 1/10) + (2 x 1/10)

d)

(3 x 1,000) + (8 x 100) + (6 x 1) + (1 x 1/10) + (2 x 1/100)

20.

What is 3,860.12 in word form?

a)

three thousand eight hundred six and twelve tenths

b)

three thousand eight hundred six and twelve hundredths

c)

three thousand eight hundred sixty and twelve tenths

d)

three thousand eight hundred sixty and twelve hundredths

21.

Consider the expression. (12 – 9) × (6 + 4) What is the value of the expression?

a)

22

b)

30

c)

90

d)

102

22.

Which value is greater than twelve and fifty-six hundredths?

a)

12.6

b)

12.5

c)

12.058

d)

12.056

23.

A teacher stacks 20 unit cubes without any gaps or overlaps to form a tower. What is the volume of the tower?

a)

5 cubic units

b)

10 cubic units

c)

20 cubic units

d)

60 cubic units

24.

Which equation is true?

a)

9 × 10^3 = 900

b)

9 × 10^2 = 900

c)

9 × 10^3 = 0.09

d)

9 × 10^2 = 0.09

25.

A student uses a model to find the value of 4,245 ÷ 15. Which value correctly replaces the '?' in the model?

a)

800

b)

150

c)

80

d)

15

26.

Consider the two figures. The table shows the two figures stacked in different ways. Which statement is true?

a)

The volume of Figure 1 is greater than the volume of Figure 2 because 2 x 3 x 3 is greater than 3 x 3 x 2.

b)

The volume of Figure 1 is the same as the volume of Figure 2 because 2 x 3 x 3 is the same as 3 x 3 x 2.

c)

The volume of Figure 2 is greater than the volume of Figure 1 because 3 x 3 x 2 is greater than 2 x 3 x 3.

d)

The volume of Figure 2 is less than the volume of Figure 1 because 3 x 3 x 2 is less than 2 x 3 x 3.

27.

The table shows two rules, and the coordinate plane shows the series of related points. If the pattern continues, which ordered pair would be part of the series?

a)

(5, 10)

b)

(8, 12)

c)

(10, 5)

d)

(12, 8)

28.

A deli worker sells a total of 68 ounces of meat to 7 different customers. Each customer receives an equal amount of meat. How many ounces of meat does each customer receive?

a)

11 5/7 ounces

b)

10 5/7 ounces

c)

9 5/7 ounces

d)

8 5/7 ounces

29.

A contractor wants to place fencing around all four sides of a rose garden, as shown. How much fencing will the contractor need?

a)

2.74 yards

b)

3.94 yards

c)

7.88 yards

d)

8.60 yards

30.

A teacher asks five students to write a true statement about quadrilaterals. The table shows the students' statements. Which two students write correct statements?

a)

Student 1

b)

Student 2

c)

Student 3

d)

Student 4

e)

Student 5

31.

A teacher eats 10 different servings of trail mix. The list shows the amount of trail mix, in cups, the teacher eats during each serving. 1/2, 1/4, 1/2, 1/4, 1/2, 1/4, 1/2, 1/2, 1/4, 1/8 If each x represents 1 serving, which line plot correctly displays the data?

a)

Diagram A

b)

Diagram B

c)

Diagram C

d)

Diagram D

32.

A school dance raises $3,584. If each dance ticket costs $14, how many students attend the school dance?

a)

256 students

b)

254 students

c)

248 students

d)

246 students

33.

A parent buys a backpack and a notebook. The total cost of the backpack and notebook is $27.35. If the backpack costs $23.50, how much does the notebook cost?

a)

A $4.25

b)

B $3.85

c)

C $2.50

d)

D $1.90

34.

A doctor keeps track of the number of hours of sleep a patient receives each night. The coordinate plane shows the results. What does the ordered pair (4, 8) represent?

a)

A During the 4th night, the patient receives 8 hours of sleep.

b)

B During the 4th night, the patient receives 12 hours of sleep.

c)

C During the 8th night, the patient receives 4 hours of sleep.

d)

D During the 8th night, the patient receives 12 hours of sleep.

35.

A student measures three different pieces of rope. The table shows the length of each piece of rope, in meters.

a)

b)

c)

d)

36.

Which two are equivalent to 32 divided by 6?

a)

28/6

b)

32/6

c)

4 4/6

d)

5 2/6

e)

8 4/6

37.

Consider the expression. 20 – (48 ÷ 6) Which description correctly represents the expression?

a)

The product of 48 and 6 subtracted from 20.

b)

The quotient of 48 and 6 subtracted from 20.

c)

Subtract 20 from the product of 48 and 6.

d)

Subtract 20 from the quotient of 48 and 6.

38.

A doughnut shop sells glazed, chocolate, and strawberry doughnuts. The doughnut shop bakes a total of 96 doughnuts. Part A: If 5/8 of the baked doughnuts are glazed, how many glazed doughnuts does the shop bake?

a)

36 glazed doughnuts

b)

48 glazed doughnuts

c)

58 glazed doughnuts

d)

60 glazed doughnuts

39.

A doughnut shop sells glazed, chocolate, and strawberry doughnuts. The doughnut shop bakes a total of 96 doughnuts. If 2/8 of the baked doughnuts are chocolate, how many chocolate doughnuts does the shop bake?

a)

24 chocolate doughnuts

b)

28 chocolate doughnuts

c)

36 chocolate doughnuts

d)

48 chocolate doughnuts

40.

Consider the point on the coordinate plane.

a)

The x-coordinate of the point is 4 units to the right of the origin on the x-axis.

b)

The x-coordinate of the point is 4 units to the right of the origin on the y-axis.

c)

The x-coordinate of the point is 5 units to the right of the origin on the x-axis.

d)

The x-coordinate of the point is 5 units to the right of the origin on the y-axis.

41.

A student has 2 pounds of cereal. If the student eats 1/6 pound of cereal each day, how many days can the student eat cereal?

a)

24 days

b)

12 days

c)

8 days

d)

4 days

42.

Which statement about rounding decimals is correct?

a)

The number 4.093 rounded to the nearest hundredth is 4.1.

b)

The number 5.81 rounded to the nearest tenth is 6.

c)

The number 6.022 rounded to the nearest hundredth is 6.02.

d)

The number 7.94 rounded to the nearest tenth is 8.

43.

A cookie recipe requires 5/6 cup of milk. A student has 4/12 cup of milk. How much more milk does the student need?

a)

1/12 cup of milk

b)

1/6 cup of milk

c)

6/12 cup of milk

d)

9/12 cup of milk

44.

Which TWO words best describe the shape?

a)

parallelogram

b)

rectangle

c)

rhombus

d)

square

e)

triangle

45.

Two ingredients are mixed together to make a sauce. The sauce consists of 12\frac{1}{2} cup of chopped onions and 3 583\ \frac{5}{8} cups of crushed tomatoes. How many cups of ingredients does the sauce contain?

a)

4 384\ \frac{3}{8}

b)

4 184\ \frac{1}{8}

c)

3 383\ \frac{3}{8}

d)

3 183\ \frac{1}{8}

46.

If the pattern continues, which statement is correct?

a)

Carson tutors 5 times as much as Kiera

b)

Carson tutors 2 times as much as Kiera

c)

Kiera tutors 5 times as much as Carson

d)

Kiera tutors 2 times as much as Carson

47.

Which number has a digit 9 that is 10 times the value of the 9 in 0.79?

a)

0.079

b)

7.90

c)

79.0

d)

790.0

48.

A hardware store has 15 containers. Each container is 23\frac{2}{3} full of bolts.

Which expression can be used to represent the total number of bolts in the containers?

a)

(2×15) ÷3\left(2\times15\right)\ \div3

b)

(2×3) +15\left(2\times3\right)\ +15

c)

(15×3)÷2\left(15\times3\right)\div2

d)

(15×2)+3\left(15\times2\right)+3