Grade 4_4q Math Answer Key

GRADE 4_4Q MATH ANSWER KEY I. UNLIKE FRACTIONS A. 1. 3-6/13 2. 2-2/5 3. 8-1/4 4. 3-2/3 5. 23/24 B. LOM 1. [2-3/4+1-1/5] – 2-1/2=N; N = 1-1/5 2. 6-1/4-[2-1/2+1-7/8] =N; N=2-3/8 3. 5-1/2 – 2-2/5=N; N=3-1/10 4. [7-1/7+2-2/3] – 3-2/3= N; N=6-1/7 5. [5 – 3-3/4] + 4-2/3 =N; N=5-11/12 PROBLEM SOLVING 1. 3-2/3 – 1-1/4 = N Mario saved 2-5/12 hrs. 2. [3-1/2+5-1/4] – 4-1/3=N Ryan had 4-5/12 kg left. II. MULTIPLICATION OF FRACTIONS (Fraction times a whole; Fraction times a fractions; LOM) SOLVE FOR THE ANSWER. 1. 4 X 2/9 = N 8/9

2. 3 X 3/10 = N 9/10

3. 5 X 3/16 = N 15/16

4. 5 X 3/8 = N 1 7/8

5. 7 X 2/3 = N 4 2/3

6. 5 ¼ x 2 2/3 = N 14

7. 2 2/3 x 4 ½ = N 12

9. 6 ¾ x 1 2/5 = N 9 9/20

10. 3/5 x 7/8 = N 21/40

11. 5/8 x 7/9 = N 35/72

8. 1 5/7 x 1 5/9 = N 2 2/3 12. 2/15 x 9/8 = N 3/20

13. 3/8 x 4/9 = N 1/6

14. 1/3 x 2/3 x 5/7 =N 10/63

LOM. _d___ 1. What equation is represented by the shaded part below?

a. 3/10 x 3=N c. 3⅓ x 2 = N

b. ⅓ x 100 = N d. 10 x 3/10 = N

2. Make a diagram showing ½ of ¾ of a pizza.

3. What equation is represented by the shaded part? 5 x 1/12 = N

☻ ☺ ☻ ☺☻ ☺ ☻ ☺ ☻ ☺ ☺ ☺ PROBLEM SOLVING. ©Reviewer of Gabe & Cobbie Quintos

2 PROBLEM SOLVING: 1. Nadim has

1 1 of a cup of flour, but knows that it is of what he needs for his 2 3

pancake recipe. How much flour does he need to make pancakes? He needs 1 ½ cups of flour. 2. When Sarah's family gathered for her fourteenth birthday, eight children,

2 of 5

the people, were under 14 years of age. How many people were at the celebration? There were 20 people. 3. Pietro has

3 2 of a quart of milk. He uses of it for a milk shake. What part 4 3

of a quart of milk did he use? He used ½ of a quart of milk. III. GEOMETRY A. BASIC GEOMETRIC IDEAS MATCHING TYPE. Match the examples in Column A with the Basic Geometric Ideas in Column B. Write the letter of the correct answer on the blank provided. Answers may be repeated. _F__1. The letter V A. POINT _C__2. A shooting star B. SEGMENT _E__3. The surface of a blackboard C. RAY _A__4. A grain of salt D. LINE _B__5. A piece of thread E. PLANE _D__6. The horizon F. ANGLE _C__7. Beam from flashlight G. SPACE _F__8. The number 7 _A__9. Shows an exact location _G__10. The universe Use the figure below in answering the questions. Write your answer on the blanks provided. Use the correct geometric symbols for your answers.

M

I

T

x C

A

B

parallelogram 1. What is the geometric idea represented by MTBC? __IA_______ 2. What segment intersects CB at A? __3________ 3. How many angles are formed by CTB? ___ __I___ 4. What point is found in MT aside from M and T? _CXA_ 5. Name at least 3 angles that have x as their vertex. _TXA__ 6. _IXT___ 7. (also IXC) ©Reviewer of Gabe & Cobbie Quintos

3

B. KINDS OF LINES Refer to the figures to answer the questions below. Write symbols to represent your answers. Write your answer on the space provided. Fig. 1

__my__ 1. What line is parallel to dg in Fig. 1? Fig. 2 G X

V F T

Y

__GY__ 2. What ray is perpendicular to FG? __G___ 3. What is the point of intersection of XY and TG? __G___ 4. What is the point of intersection of FG and XV? _FG____ 5. What two rays intersect XV but are not perpendicular to it? TG, YG BONUS: In Fig. 1 above, draw line yd that intersects line mc at c, and intersects line dg at d. C. USE OF PROTRACTOR IN MEASURING AND CONSTRUCTING ANGLES Measure the following angles in Fig. 2, above, using your protractor. 1.  XGF = __20˚______

3.  YGV = __120˚____

2.  TGY = __70˚______

4.  TGY = __70˚_____

Choose the letter of the correct answer. Write your answer before each number. ___B____ 5. Which angle measures 90? A.

B.

C.

D.

__A____ 6. Which angle measures 180? A.

B.

C.

D.

__D˚___ 7. What is the measurement of this angle? A. 65

B. 120

C.

85

D. 40

©Reviewer of Gabe & Cobbie Quintos

4 Construct and label the following angles. 8.

 COT = 140

9.  BAT = 60

10.  GAT = 90

D. KINDS OF ANGLES Refer to Figure 2 in answering the following questions. 1. Name a straight angle :

__XGV_______

2. Name a right angle:

__FGY_______

3. Name 2 acute angles: __XGF_______ (also TGY, YGV) 4. Name 2 obtuse angles: __VGT_______ (also FGV)

___FGT_________ ___XGY_________

Refer to Figure 3. Write T or F. Fig. 3

F

A

T

U

R

N

H

_T___ 6.  FUT plus  TUN is a right angle. _T___ 7.  TUH is a right angle. _F___ 8.  FUR is a right angle. _T___ 9.  AUR is an obtuse angle. _F___ 10.  FUA plus  AUT is a right angle. E. KINDS OF POLYGONS AND TRIANGLES Write T if the statement is True. If it is false, underline the word or words that make the statement false and write the correct word/s on the blank. ____T_________ 1. An equilateral triangle is a regular triangle. __dodecagon___ 2. An undecagon has 12 sides. ____T_________ 3. A regular polygon has congruent sides and angles. __isosceles_____ 4. A scalene triangle has 2 congruent sides. ____T_________ 5. An obtuse triangle has one obtuse angle. ____T_________ 6. The total measure of the angles in a triangle is 180. ____T_________ 7. An isosceles triangle may have a right angle. __hexagon_____ 8. A regular heptagon has six congruent sides.

____T_________ 9.

is a regular quadrilateral.

____T_________ 10. A circle is a not a polygon.

©Reviewer of Gabe & Cobbie Quintos

5

Refer to Figure 4. Answer the following questions. A F

B

G

L

C

G

H

I

J

N

O

K

M P

__heptagon____ 1. What polygon is formed by points NJMKHBA? __right________ 2. What kind of triangle is formed by points BHC? __dodecagon___ 3. What polygon is formed by points FLINPJMKHCAG? __square______ 4. What kind of quadrilateral is ANPC? __scalene_____ 5. What kind of triangle is NJO? F. QUADRILATERALS Complete the measures of a quadrilateral by writing the missing angle on the blank provided. __100˚___ 1.

120º

60º

80º

_______

__135˚___ 2.

45º

_______

125º

55º

__170˚___ 3.

100º

60º

30º

_______

___120˚__ 4.

75º

90º

_______

75º

___190˚__ 5.

_______

50º

120º

100º

Write T or M. ____F____ ____F____ ____F____ ____T____ ____T____

1. 2. 3. 4. 5.

A square is a rectangle. All parallelograms are rectangles. A trapezium can have more than 4 angles. All rhombuses are squares. All parallelograms are quadrilaterals.

Label the points of Figure 5. Then, using your point labels, write the quadrilateral being asked for. Fig. 5

1. SQUARE 2. RECTANGLE 3. PARALLELOGRAM

_______________________ _______________________ _______________________

©Reviewer of Gabe & Cobbie Quintos

6

4. TRAPEZIUM 5. TRAPEZOID

_______________________ _______________________

Measure the angles of your trapezoid: (in Fig. 5)

m ∟ 1 = __________ m ∟ 2 = __________ m ∟ 3 = __________ m ∟ 4 = __________

G. PERIMETER Solve for the perimeter.

1.

where a = 7 m, b = 12 m, c = 5 m, d = 7 m Perimeter = _31 m___________

2. 6.2 m

Perimeter = ____18 m_____________

3.

Perimeter = ______14 units_______

4. 4.5 cm

Perimeter = ______22 cm________

BONUS:

5.

where a = 15 m, b = 15 m, c = 10 m, d = 5 m Perimeter = ____60 m____________

©Reviewer of Gabe & Cobbie Quintos

7 Solve for the missing side. Write the correct unit of measure.

6. Perimeter: 28 m 7.

length = 9 m ; side = __5m___

Rhombus - Perimeter = 48 cm

8.

side = __12 cm_

Perimeter = 58.8 km ; a = 20.3 km, b = 10 km, c = 19.5 km, d = ___9 km______

Problem Solving. Solve and label your answers. 9. The perimeter of Anna’s beach lot is 400 m. If it is 110 m long, how wide is the lot? The lot is 90 m wide. 10. The club’s rectangular swimming pool is 5 m wide. If the distance around the pool is 30 m, how long is the pool? The pool is 10 m long. 11. Edgar the mouse ran a total of 32 m around his square cage. If his run was made in two rounds, what is the measurement of each side of his cage? Each side of the cage is 4 m long. H. AREA Solve for the area. Write the correct unit of measure. 1.

h

b Where b = 14 m and h = 10 m : A = __140 sq m_____ 2.

Rhombus: h = 8 m, b = 6

A = 48 sq m

3.

Rectangle: l = 13 cm, w = 4 cm

A = 52 sq cm

4.

Square: s = 9 km

A = 81 sq km

Solve for the missing side. 5. h

b = 12 m ©Reviewer of Gabe & Cobbie Quintos

8 Area = 36 sq m h = ___3 m______ 6.

Rhombus: Area = 88 sq cm; b = 8 cm; h = ___11 cm_______

7.

Rectangle: Area = 96 sq m; l = 12 m; w = ___8 m_________

8.

Square: Area = 169 sq km

s = ___13 m_________

Problem solving. Write and equation and solve. Label your answers. 9. Will is re-tiling one wall of his bathroom, which is 12 m long and 9 m wide. If his square Italian tiles measure 2 m by 2 m, how many pieces will he need to cover the entire wall? He will need 27 tile pieces. 108 sq m. / 4 = 27 pieces 10. The length of a rectangular field is three times its width. What is the area of the field if the width measures 3/5 km? The area is 1 8/10 sq km.

I. SPACE FIGURES AND VOLUME Write the letter of the correct space figure on the blank. A. ____D___ 1.

3 rectangular faces and 2 triangular bases B.

____A___ 2.

2 flat circular bases and 1 curved surface

C. ____B___ 3.

4 triangular faces and 1 flat square base

D. ____C___ 4.

1 vertex and 1 flat circular base

E.

©Reviewer of Gabe & Cobbie Quintos

9 Solve for the volume. Label your answers. 1. A block is of size 60cm x 30cm x 20cm. Find the volume of the block. 36 000 cm3 2. Matt dug a pit with the following dimension: 2m x 2m x 2m. Find the volume of dirt dug out of the pit. 8 m3 of dirt was dug. 3. A rectangular rice box is half filled with rice. The box’s dimensions are 3m x 4m x 7½m. How many cubic meters of rice do you need to fill the box? V = 90 cm3 You need 45 cm3 of rice. 4. Tara’s CD Cube (a CD holder) has a volume equal to 8 cubic units. Her sister Kelly also has a CD Cube. Each side of Kelly’s CD Cube measures twice as long as Tara’s. What is the volume of Kelly’s CD Cube? Kelly’s CD Cube has a volume equal to 64 cubic units. 5. A fish tank can hold 32 cubic meters of water. It is 4 m wide and its length is 2 times longer than its width. How tall is the fish tank? 32 = 4 x 2n x n The fish tank is 4m tall.

©Reviewer of Gabe & Cobbie Quintos