FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6...

15
Grade6 Revision sheet Page 1 of 15 FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 MATHEMATICS Name: ________________________ Section: _____________ Standard: The Number System, Ratios and Proportional Reasoning Section A: Vocabulary 1. Choose the best term from the box. prime factorization repeating decimal Equivalent ratio unit rate least common multiple Ratio opposite simplest form Ordered pair reciprocal quadrants ordered pair greatest common factor Integers Multiplicative inverse compatible numbers A. The greatest factor that two or more numbers have in common is the_____________. B. A number written as the product of its prime factors is the ________________of the number. C. A ________________is a decimal representation of a number that has a repeating pattern that continues endlessly D. One of two numbers whose product is 1 is a ____________ or a _____________. E. A ________________are numbers that are easy to compute with mentally. F. A comparison of one number to another by division is a ____________. G. A ____________________ is a rate that compares a quantity to 1 unit.

Transcript of FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6...

Page 1: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 1 of 15

FIRST TERM REVISION WORKSHEET

AY 2016 – 2017

GRADE- 6 MATHEMATICS

Name: ________________________ Section: _____________

Standard: The Number System, Ratios and Proportional Reasoning

Section A: Vocabulary

1. Choose the best term from the box.

prime factorization repeating decimal Equivalent ratio unit rate

least common multiple Ratio opposite simplest form

Ordered pair reciprocal quadrants ordered pair

greatest common factor Integers Multiplicative inverse compatible numbers

A. The greatest factor that two or more numbers have in common is the_____________.

B. A number written as the product of its prime factors is the ________________of the

number.

C. A ________________is a decimal representation of a number that has a repeating

pattern that continues endlessly

D. One of two numbers whose product is 1 is a ____________ or a _____________.

E. A ________________are numbers that are easy to compute with mentally.

F. A comparison of one number to another by division is a ____________.

G. A ____________________ is a rate that compares a quantity to 1 unit.

Page 2: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 2 of 15

H. In an _________________ the first number is the x- coordinate and the second number

is y coordinate.

I. _______________are ratios that name the same comparison.

J. When the numerator and denominator of a fraction have only 1 as a common factor, the

factor is in ________________

K. The least number that is a common multiple of two or more number is the

__________________

L. The ___________________are the set of whole numbers and their opposites.

M. Two numbers that are the same distance from zero on the number line, but on

different sides of zero, are called ____________________

N. The four regions of the coordinate plane that are separated by the x and y

axes are called ______________________

SECTION B- MENTAL MATH

2. Write all the factors of the number.

a) 25 : ____________________________ b) 42 : ____________________

c) 64 : ____________________________ b) 150 : ____________________

3. Multiply or Divide.

a) 6 x 8 = _______ b) 9 x ________= 27 c) 81 ÷ 9 =________

d) 27 ÷ 3 =________ e) 3x 9 =_________

Page 3: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 3 of 15

4. Write in simplest form.

a) �

� x 27 =_______ b) 12 x

� = ________

C) �

� x 16 =_______ d) 10 x

� = ________

5. Write as a fraction or as a mixed number in simplest form :-

a) 0.055 b) 2.75

____________ ____________

_____________ _____________

c) 2.45 d) 1.25

____________ ____________

____________ _____________

6. Write the opposite of the integers:

a) -45 _________ b) 67 ___________c) 23 ____________d) -35 __________

7. Find the product.

a. 3 x 5 = …………………………… _____________________

4 9

b. 2 x 4 = …………………………… ______________________

5 3

8. Which situation could be represented by the integer -12?

A. A point in Yuma, Arizona, is 12 feet above sea level.

B. A team loses 12 yards on a football play.

C. The temperature rose 12 degrees

Page 4: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 4 of 15

9. The city of Dellville is represented by the point (3, -2) on a coordinate plane. In

which quadrant does the point lie?

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV

SECTION C- MATH DRILL

10. Divide and write the Quotient and remainder

a) 59,990 ÷ 28 b) 21.24 ÷ 6

Q= ___________ R=_________ Q= ___________ R=_________

11. Find Prime factorization of the following number

a) 100 b) 144

Page 5: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 5 of 15

12. Find the sum or difference:

a) 3.3 + 6.43 + 22.047 b)72 — 6.817

c) Evaluate using order of operation:

i) (3.612 x 3.1) -0.749 ii) 19.5 x (21.04 — 18.7)

_________________________ ________________________

iii) 11.7 + (7.92 x8.5 ) iv) �

� � x (

� --

� )

______________________________ ____________________________

d) Write as a decimal whether terminating or repeating

- �

__________________________

e) Find the product.

5 � �

� � ÷

� � b) 1

� ÷ 1

_______________________ ______________________

_______________________ ______________________

Page 6: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 6 of 15

13. Circle the correct option

a) What ordered pair represents the Asian Arts Initiative?

A. (2, 5)

B. (5, 2)

C. (¯2, 5)

D. (2, ¯5)

14. Identify the given decimals Points A, B, C & D on the Number Line below.

Answer:

Point A: _____________

Point B:_____________

Point C: _____________

Point D: _____________

Page 7: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 7 of 15

15. The normal low temperature during January for a town in Alaska is -8.6°F. between

which two integers does this temperature lie?

A. - 10 and - 9

B. - 9 and - 8

C. - 8 and -7

D. - 7 and - 6

16. Dakshesh won a game by scoring 9 points. Randy scored the opposite number of

points as Dakshesh. What is Randy’s score?

A. -9

B. 9

C. 18

D. -18

17. Graph -7 and 9 on the number line.

18. Order the numbers from least to greatest

A. 3.6, 3.25, -4.3 ___________<__________<__________

B. 15, -9, -20 ___________<__________<__________

C. -6, 1, -2 ___________<__________<__________

Page 8: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 8 of 15

19. Graph and label the points P, C and X on the coordinate plane given below.

A. P(2,0) B. C(0,1.5) C. X(2,2)

20. Write the ordered pair for the points A, B, C and D. Check the given coordinate

plane.

21. Draw a model of the ratio.

A. 3:2 B. 1: 2

Show Your Work: Show Your Work:

A. ( , )

B. ( , )

C. ( , )

D. ( , )

Page 9: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 9 of 15

22. Write the ratio of triangle to squares

1. 2)

_______: _________

_______: _________

23. Use a multiplication table to write two equivalent ratios for the problems A and B

A. B.

9

8

Show your work: Show your work:

6

9

Page 10: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 10 of 15

SECTION D- CRITICAL THINKING AND PROBLEM SOLVING

24. Circle the letter of the best answer.

a) A total of 3,570 people attended 14 performances of a play. The same numbers of

tickets were sold for each performance. How many tickets were sold for each

performance?

A. 255

B. 266

C 277

C. 288

b) The combination for the lock on Santiago’s suitcase is based on the prime factorization

of 315. What is the prime factorization of 315?

A. 5 × 7 × 9

B. 3 × 7 × 15

C. 3 × 3 × 5 × 7

C. 2 × 3 × 3 × 5 × 7

c) Kenya placed 21 apples and 28 oranges into different bowls. Each bowl held the same

amount of fruit and contained only apples or only oranges. What is the greatest number

of pieces of fruit that Kenya could have placed in each bowl?

A. 14

B. 7

C. 4

C. 3

Page 11: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 11 of 15

d) What is the LCM of 5 and 15?

A. 3

B. 15

C. 30

D. 75

e) What is the difference of 33.25 and 21.463?

A. 11.707

B. 11.787

C. 11.870

D. 11.077

f) Madison has 56 roses and 42 daisies to use in floral centerpieces for a party. Each

centerpiece will have the same number of flowers and will contain only roses or only

daisies. What is the greatest number of flowers that Madison can use in each

centerpiece?

A. 14

B. 8

C. 7

D. 6

Work Area:

Work Area:

Work Area:

Page 12: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 12 of 15

g) Grace bought 4.5 pounds of fish that cost $9 per pound. How much did she pay for the

fish?

A. 40.54

B. 40.5

C. 30.5

D. 45.52

h) Calvin has a recipe that calls for pound of cheddar cheese. The packages he sees in

the grocery store show the weights in decimal amounts. Which amount of cheese should

Calvin buy?

Show your work here:

A.

B.

C.

D.

i) Rupali has a piece of string that is yard long. She wants to cut the string into 4 equal

pieces. How long should each piece be?

A. �

� Yards

B. �

� Yards

C. �

� � Yards

D. �

� Yards

Work Area:

Page 13: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 13 of 15

j) In a class, of the students said their favorite food is pizza. Of those students, said

their favorite pizza topping is pepperoni. What fraction of the students in the class

said their favorite pizza topping is pepperoni?

A.

B.

C.

D.

k) On Saturday morning, Briana and her friends walked 1.35 miles. What is this distance as a

mixed number?

A.

B.

C.

D.

l) Maria works 24.5 hours each week at a bookstore. She earns $8.76 per hour. How much

does Maria earn each week?

A. $2,146.20

B. $11.21

C. $ 15.74

D. $214.62

m) Kelsey can make 3 loaves of bread with 7 cups of flour. How many loaves of bread can

she make with 21 cups of flour?

A. 7

B. 9

C. 63

D. 147

Page 14: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 14 of 15

n) Of the 24 students in a class, 8 said they have at least two siblings. Which ratio is

equivalent to ?

A.

B.

C.

D.

o) If 5 bags of oranges weigh 35 pounds, how many pounds do 2 bags of oranges weigh?

A. 7 pound

B. 10 pound

C. 14 pound

D. 70 pound

Q.25) Solve :

a) John has 2 comic books. Leroy has 3 comic books. What model shows the ratio of

the number of John’s comic books to the number of Leroy’s comic books?

A.

B.

C.

D.

Page 15: FIRST TERM REVISION WORKSHEET AY 2016 – 2017 GRADE- 6 …aias.ae/.../Grade-6-First-Term-Revision-Sheet-2016-2017.pdf · 2017. 9. 19. · Grade6 Revision sheet Page 1 of 15 FIRST

Grade6 Revision sheet

Page 15 of 15

b) Liza types 180 words in 3 minutes. At that rate, how many minutes does it take her to

type 1,260 words?

Show your work

_______________________

c) The table shows the average surface temperature of the planets in the solar

system.

List the planets Jupiter, Earth, Mars, and Neptune in order from greatest to least

average surface temperature

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

BEST of luck